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Detail of PDIS"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457604"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457603","@type":"sc:Range","label":"code patterns"},{"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457607"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457606","@type":"sc:Range","label":"code segment 2: select distinct pattern"},{"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457609"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457608","@type":"sc:Range","label":"code segment 3: join pattern"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457612"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457611","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457613"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457610","@type":"sc:Range","label":"data analysis"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457612"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457611","@type":"sc:Range","label":"Figure 2.10. Result of the structural completion"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457617"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457616","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457618","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457619"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457615","@type":"sc:Range","label":"variant records"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457617"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457616","@type":"sc:Range","label":"Figure 2.11. Assumed hidden common domain relation..."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457621"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457620","@type":"sc:Range","label":"optimization structures code segment 4"},{"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457624"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457623","@type":"sc:Range","label":"aggregations"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457627"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457626"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457625","@type":"sc:Range","label":"cardinality constraints"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457627"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457626","@type":"sc:Range","label":"Figure 2.15. Implication of relational constraints..."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457631","https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457637"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457630","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457632","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457641"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457629","@type":"sc:Range","label":"iterative process"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457631"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457630","@type":"sc:Range","label":"Figure 2.16. Summary of analysis results"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457637"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457633","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457634","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457635","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457636","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457638","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457639","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457640"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457632","@type":"sc:Range","label":"Observations"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457637"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457636","@type":"sc:Range","label":"O4. combines contradicting indicators and assumpti..."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457646"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457645"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457644","@type":"sc:Range","label":"iteration"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457646"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457645","@type":"sc:Range","label":"Figure 2.17. Conceptual schema for PDIS (detail)"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457650","https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457653"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457649","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457651"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457648","@type":"sc:Range","label":"problems of scale: correctness and consistency"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457650"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457649","@type":"sc:Range","label":"Figure 2.18. Extended conceptual schema for MIS (d..."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457653"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457652"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457651","@type":"sc:Range","label":"2.4.3 Implementation of changes and a middleware f..."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457653"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457652","@type":"sc:Range","label":"Figure 2.19. Extended conceptual schema for MIS af..."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457656"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457655"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457654","@type":"sc:Range","label":"implementation alternatives"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457656"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457655","@type":"sc:Range","label":"Figure 2.20. Implemented extensions of the logical..."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457661","https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457664"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457659","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457660","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457662","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457669"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457658","@type":"sc:Range","label":"middleware design"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457661"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457660","@type":"sc:Range","label":"Figure 2.22. Design of the middleware layer (detai..."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457664"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457663","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457665","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457666","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457667","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457668"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457662","@type":"sc:Range","label":"Observations"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457664"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457663","@type":"sc:Range","label":"O8. Conceptual abstraction (and redesign) of a log..."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457673"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457672","@type":"sc:Range","label":"DBRE process"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457675"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457674","@type":"sc:Range","label":"role of the 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3 A Theory to Manage Imperfect Knowledge"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457679","https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457681","https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457683"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457678"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457677","@type":"sc:Range","label":"knowledge-based system"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457679","https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457681","https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457683"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457680","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457682"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457678","@type":"sc:Range","label":"3.1 Requirements on formalisms to manage DBRE know..."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457681"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457680","@type":"sc:Range","label":"Figure 3.1. 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A formalism to manage DBRE knowledge has to al..."},{"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457691"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457690","@type":"sc:Range","label":"3.1.3 Reasoning about incomplete knowledge"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457694"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457693"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457692","@type":"sc:Range","label":"3.1.4 Representation of ignorance"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457694"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457693","@type":"sc:Range","label":"R5. A formalism to manage DBRE knowledge has to be..."},{"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457696"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457695","@type":"sc:Range","label":"3.1.5 Computational tractability"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457701","https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457708"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457698","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457706"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457697","@type":"sc:Range","label":"3.2 Evaluation of theories"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457701"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457699","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457700","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457702","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457703","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457704"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457698","@type":"sc:Range","label":"Notation and basic definitions"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457701"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457700","@type":"sc:Range","label":"Definition 3.2 Database"},{"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457705"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457704","@type":"sc:Range","label":"Definition 3.5 Flattening"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457708"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457707","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457709","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457710","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457711","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457712"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457706","@type":"sc:Range","label":"3.2.1 Production systems with confidence factors"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457708"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457707","@type":"sc:Range","label":"CF(u3\u0178u4)=min(CF(u3),CF(u4)) (EQ 1)"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457715"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457714"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457713","@type":"sc:Range","label":"only monotonic reasoning (R4)"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457715"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457714","@type":"sc:Range","label":"3.2.2 Probabilistic reasoning"},{"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457717"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457716","@type":"sc:Range","label":"semantics"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457721"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457719","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457720","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457722"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457718","@type":"sc:Range","label":"subjective probability"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457721"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457720","@type":"sc:Range","label":"(EQ 7)"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457730"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457726"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457725","@type":"sc:Range","label":"computational intractable for DBRE (R6)"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457730"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457727"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457726","@type":"sc:Range","label":"3.2.3 Credibilistic reasoning"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457730"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457728"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457727","@type":"sc:Range","label":"Definition 3.6 Basic probability assignment, focal..."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457730"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457729"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457728","@type":"sc:Range","label":"Let U denote the set of all relevant propositions ..."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457730"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457729","@type":"sc:Range","label":"(EQ 8)"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457735"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457732","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457737"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457731","@type":"sc:Range","label":"difference to probabilistic logic"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457735"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457733","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457736"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457732","@type":"sc:Range","label":"Definition 3.7 Combination of evidences"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457735"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457734"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457733","@type":"sc:Range","label":"For a proposition u\u0152U and a set of pieces of evide..."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457735"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457734","@type":"sc:Range","label":"(EQ 9)"},{"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457738"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457737","@type":"sc:Range","label":"Definition 3.8 Belief function"},{"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457739"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457738","@type":"sc:Range","label":"Let m:U\u00c6[0,1] be the mass function that is obtaine..."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457744"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457741","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457746"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457740","@type":"sc:Range","label":"semantics of belief and plausibility"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457744"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457742"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457741","@type":"sc:Range","label":"Definition 3.9 Plausibility function"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457744"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457743","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457745"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457742","@type":"sc:Range","label":"Let m:U\u00c6[0,1] be the mass function that is obtaine..."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457744"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457743","@type":"sc:Range","label":"(EQ 11)"},{"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457749"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457748","@type":"sc:Range","label":"computational intractable (R6)"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457755"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457751","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457752"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457750","@type":"sc:Range","label":"fuzzy sets"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457755"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457753"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457752","@type":"sc:Range","label":"Definition 3.10 Fuzzy set"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457755"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457754"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457753","@type":"sc:Range","label":"A set of pairs F:={(u,m(u)) | u\u0152U} is called fuzzy..."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457755"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457754","@type":"sc:Range","label":"Figure 3.2. Sample fuzzy sets with continous and d..."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457759"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457758"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457757","@type":"sc:Range","label":"operations on fuzzy sets"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457759"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457758","@type":"sc:Range","label":"Definition 3.11 t-norm and t-conorm"},{"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457761"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457760","@type":"sc:Range","label":"t-norm/t-conorm"},{"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457762","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457763","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457764","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457765"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457761","@type":"sc:Range","label":"Two binary functions T,^:[0,1]\u00a5[0,1]\u00c6[0,1] are cal..."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457769"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457767"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457766","@type":"sc:Range","label":"fuzzy rules and inference"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457769"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457768"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457767","@type":"sc:Range","label":"Example 3.1 Fuzzy rule"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457769"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457768","@type":"sc:Range","label":"Figure 3.3. Sample fuzzy sets for fuzzy predicates..."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457774"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457771","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457775"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457770","@type":"sc:Range","label":"fuzzy relations"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457774"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457772"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457771","@type":"sc:Range","label":"Definition 3.12 Fuzzy relation"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457774"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457773"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457772","@type":"sc:Range","label":"Let F1,..,Fn be n fuzzy sets over objects of the u..."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457774"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457773","@type":"sc:Range","label":"A\u00c6B := {((a,b),min(mA(a),mB(b)))|a\u0152UA, b\u0152UB} (EQ 1..."},{"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457776","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457777"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457775","@type":"sc:Range","label":"Definition 3.13 Fuzzy logical operators"},{"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457779","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457780","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457781"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457778","@type":"sc:Range","label":"MAX-MIN composition"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457785"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457784"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457783","@type":"sc:Range","label":"limited support for contradiction and ignorance (R..."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457785"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457784","@type":"sc:Range","label":"3.2.5 Possibilistic reasoning"},{"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457787","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457788","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457789","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457790"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457786","@type":"sc:Range","label":"possibility and necessity"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457794"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457792","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457793","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457795"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457791","@type":"sc:Range","label":"necessity-valued formulae"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457794"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457793","@type":"sc:Range","label":"Definition 3.16 Classical projection"},{"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457797","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457798","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457799"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457796","@type":"sc:Range","label":"semantics"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457808"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457801","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457802","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457803","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457804","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457805"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457800","@type":"sc:Range","label":"partial contradiction"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457808"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457806"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457805","@type":"sc:Range","label":"Definition 3.18 Partial contradicting set of formu..."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457808"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457807"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457806","@type":"sc:Range","label":"A set of formulae F={f1,..,fn}\u00d5L{NPL1} is said to ..."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457808"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457807","@type":"sc:Range","label":"Cons(F)=suppFsupw\u0152Wp(w)<1 (EQ 31)"},{"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457812"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457811","@type":"sc:Range","label":"best model"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457819","https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457822","https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457823"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457814","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457817","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457820"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457813","@type":"sc:Range","label":"inference"},{"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457815","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457816"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457814","@type":"sc:Range","label":"Definition 3.20 Formal system for NPL1"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457819"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457818"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457817","@type":"sc:Range","label":"3.2.5.1 Evaluation"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457819"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457818","@type":"sc:Range","label":"f(f,b) iff f(f,b) and b>Incons(f). (EQ 32)"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457822","https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457823"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457821"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457820","@type":"sc:Range","label":"3.3 Summary and conclusion"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457822","https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457823"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457821","@type":"sc:Range","label":"Figure 3.4. Evaluation 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Goal-driven analysis operation valida..."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457869"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457868","@type":"sc:Range","label":"4.2.3 Formal definition"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457875","https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457878"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457871","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457873","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457876"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457870","@type":"sc:Range","label":"4.2.3.1 Syntax of GFRN"},{"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457872"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457871","@type":"sc:Range","label":"Definition 4.2 Signature of a GFRN"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457875"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457874"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457873","@type":"sc:Range","label":"Definition 4.3 Context sensitive syntax"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457875"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457874","@type":"sc:Range","label":"A GFRN ((Pd,Pg,Pt),Fr,Fb,I,E,cf,th,W,w) is called ..."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457878"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457877"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457876","@type":"sc:Range","label":"Example 4.1 Syntax of a GFRN"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457878"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457877","@type":"sc:Range","label":"Figure 4.14. GFRN to illustrate the formalization"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457882"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457880"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457879","@type":"sc:Range","label":"4.2.3.2 Declarative semantics"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457882"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457881","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457883","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457884","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457885","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457886","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457887","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457888","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457889","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457890","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457891"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457880","@type":"sc:Range","label":"Definition 4.4 Declarative semantics of GFRNs"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457882"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457881","@type":"sc:Range","label":"1) input G:(P, Fr, Fb, I, E, cf, th, W, w) \u0152L{GFRN..."},{"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457892"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457891","@type":"sc:Range","label":"10) end"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457895"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457894","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457896","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457897","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457898","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457899","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457900","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457901","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457902","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457903","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457904","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457905","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457906","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457907","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457908","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457909","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457910","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457911","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457912","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457913","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457914","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457915","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457916","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457917","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457918","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457919","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457920","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457921","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457922","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457923","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457924","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457925","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457926","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457927","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457929"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457893","@type":"sc:Range","label":"algorithm explanation"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457895"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457894","@type":"sc:Range","label":"11) input G:=(P, Fr, Fb, I, E, cf, th, W, w) \u0152L{GF..."},{"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457928"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457927","@type":"sc:Range","label":"49) end"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457932","https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457936"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457931","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457933","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457934","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457935","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457937","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457940","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457941"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457930","@type":"sc:Range","label":"semantics of analysis operations"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457932"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457931","@type":"sc:Range","label":"Definition 4.5 Extent of a predicate"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457936"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457935","@type":"sc:Range","label":"Definition 4.8 Application context"},{"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457938","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457939"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457937","@type":"sc:Range","label":"Definition 4.9 Expansion of formulae over a finite..."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457944","https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457977","https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457985","https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458016"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457943","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457945","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457946","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457947","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457948","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457949","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457950","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457951","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457952","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457953","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457954","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457955","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457956","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457957","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457958","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457959","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457960","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457961","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457962","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457963","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457964","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457965","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457966","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457967","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457968","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457969","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457970","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457971","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457972","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457973","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457975","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457984","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457986","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457987","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457988","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457989","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457990","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457991","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457992","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457993","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457994","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457995","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457996","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457997","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457998","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457999","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458000","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458001","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458002","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458003","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458004","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458005","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458006","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458007","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458008","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458009","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458010","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458011","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458012","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458017"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457942","@type":"sc:Range","label":"algorithm explanation"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457944"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457943","@type":"sc:Range","label":"1) input G:=((Pd,Pg,Pt),Fr,Fb,I,E,cf,th,W,w) \u0152L{GF..."},{"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457974"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457973","@type":"sc:Range","label":"31) end"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457977"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457976","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457978","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457979","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457980","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457981","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457982","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457983"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457975","@type":"sc:Range","label":"Example 4.3 Semantics of automatic analysis operat..."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457977"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457976","@type":"sc:Range","label":"Fs={ ..."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1457985"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1457984","@type":"sc:Range","label":"usrid"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458016"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458013","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458014","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458015"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458012","@type":"sc:Range","label":"52718"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458016"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458015","@type":"sc:Range","label":"Figure 4.20. Necessity degrees for the facts produ..."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458019"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458018","@type":"sc:Range","label":"forwards and backwards reasoning"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458024"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458021"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458020","@type":"sc:Range","label":"incremental reasoning"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458024"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458022"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458021","@type":"sc:Range","label":"4.3.1 A fuzzy Petri net model for non-monotonic re..."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458024"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458023"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458022","@type":"sc:Range","label":"Definition 4.12 Fuzzy Petri net"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458024"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458023","@type":"sc:Range","label":"A fuzzy Petri net (FPN) is a tuple FPN:=(S, T, F; ..."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458027"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458026","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458028","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458029","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458031"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458025","@type":"sc:Range","label":"belief revision"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458027"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458026","@type":"sc:Range","label":"(EQ 40)"},{"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458030"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458029","@type":"sc:Range","label":"Figure 4.21. Belief revision phase 1: computation ..."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458034","https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458039"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458033","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458035","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458036","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458037","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458038","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458040","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458051","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458052"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458032","@type":"sc:Range","label":"termination and stability of belief revision"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458034"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458033","@type":"sc:Range","label":"Definition 4.13 Stability"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458039"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458038","@type":"sc:Range","label":"Definition 4.16 Axiom-based marking"},{"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458041","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458042","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458044","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458046","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458048","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458050"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458040","@type":"sc:Range","label":"Theorem 4.2 Stability of FPN with axiom-based mark..."},{"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458043"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458042","@type":"sc:Range","label":"Proof: If N is not stable there has to be at least..."},{"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458045"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458044","@type":"sc:Range","label":"with a period p\u0152[2,\u2022) and r\u0152[1,p-1]. In the follow..."},{"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458047"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458046","@type":"sc:Range","label":"which can easily be proved: EQ44 is trivially fulf..."},{"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458049"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458048","@type":"sc:Range","label":"From EQ40-EQ42 follows that for any non-axiom plac..."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458055"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458054"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458053","@type":"sc:Range","label":"data-driven analysis"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458055"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458054","@type":"sc:Range","label":"Figure 4.23. The proposed iterative and interactiv..."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458058"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458057"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458056","@type":"sc:Range","label":"expansion"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458058"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458057","@type":"sc:Range","label":"Figure 4.24. Representation of an expanded GFRN im..."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458061"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458060","@type":"sc:Range","label":"evaluation"},{"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458064"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458063","@type":"sc:Range","label":"automatic expansion and evaluation cycles"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458068"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458066"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458065","@type":"sc:Range","label":"user dialog"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458068"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458067"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458066","@type":"sc:Range","label":"Example 4.4 Inference process"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458068"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458067","@type":"sc:Range","label":"Figure 4.26. Information sources for inference exa..."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458071"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458070","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458072"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458069","@type":"sc:Range","label":"first expansion/ evaluation cycle"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458071"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458070","@type":"sc:Range","label":"Figure 4.27. GFRN to exemplify the inference proce..."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458075"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458074"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458073","@type":"sc:Range","label":"second expansion/ evaluation cycle"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458075"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458074","@type":"sc:Range","label":"Figure 4.29. FPN after second expansion/evaluation..."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458079","https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458082"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458078","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458080","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458081","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458083"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458077","@type":"sc:Range","label":"human interaction"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458079"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458078","@type":"sc:Range","label":"Figure 4.30. FPN after third expansion/evaluation ..."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458082"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458081","@type":"sc:Range","label":"Figure 4.32. FPN after considering human input"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458086","https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458089"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458085","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458087"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458084","@type":"sc:Range","label":"representing human assumptions"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458086"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458085","@type":"sc:Range","label":"Figure 4.34. Representation of human assumptions"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458089"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458088","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458090","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458091","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458092","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458093","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458094","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458095","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458096","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458097","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458098","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458099","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458100","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458101","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458102","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458103","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458104","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458105","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458106","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458107","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458108","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458109","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458110","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458111","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458112","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458113","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458114","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458115","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458116","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458117","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458118","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458119","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458120","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458121","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458122","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458123","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458124","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458125","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458126","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458127","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458128","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458129","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458130","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458131","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458132"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458087","@type":"sc:Range","label":"4.3.2.2 Formal definition"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458089"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458088","@type":"sc:Range","label":"1) algorithm GFRNInference(G, B)"},{"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458133"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458132","@type":"sc:Range","label":"50) end"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458135"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458134","@type":"sc:Range","label":"data-driven analysis"},{"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458138","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458139"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458137","@type":"sc:Range","label":"inner (automatic) inference loop"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458143"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458142","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458144","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458145","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458146","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458147","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458148","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458149","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458150","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458151","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458152","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458153","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458154","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458155","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458156","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458157","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458158"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458141","@type":"sc:Range","label":"algorithm ExpandFPN"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458143"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458142","@type":"sc:Range","label":"1) input d\u0152L{NPL0}, N:(S,T,F;D,X,b,v,c,t,mx)\u0152L{FPN..."},{"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458159"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458158","@type":"sc:Range","label":"18) end"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458162","https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458200"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458161","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458163","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458164","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458165","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458166","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458167","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458168","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458169","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458170","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458171","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458172","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458173","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458174","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458175","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458176","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458177","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458178","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458179","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458180","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458181","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458182","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458183","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458184","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458185","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458186","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458187","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458188","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458189","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458190","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458191","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458192","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458193","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458194","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458195","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458196","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458198","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458204"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458160","@type":"sc:Range","label":"expansion of transitions"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458162"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458161","@type":"sc:Range","label":"1) input G:(P, Fr, Fb, I, E, cf, th, W, w) \u0152L{GFRN..."},{"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458197"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458196","@type":"sc:Range","label":"37) end"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458200"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458199","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458201","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458202","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458203"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458198","@type":"sc:Range","label":"Definition 4.18 Derivability"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458200"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458199","@type":"sc:Range","label":"$(v1,f,W)\u0152K W\u00d5{v2,..,vn}"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458208"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458207","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458209","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458210","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458211","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458212","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458213","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458214","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458215","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458216","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458217","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458218","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458219","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458220","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458221","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458222","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458223","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458224","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458225","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458226","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458227","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458228","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458229","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458230","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458231","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458232","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458233","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458234","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458235","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458236","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458237","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458238","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458239","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458240","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458241","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458242","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458243","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458244","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458245","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458246","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458247"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458206","@type":"sc:Range","label":"dealing with IQs"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458208"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458207","@type":"sc:Range","label":"1) input G:(P,Fr,Fb,I,E,cf,th,W,w) \u0152L{GFRN}; i\u0152I; ..."},{"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458248"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458247","@type":"sc:Range","label":"41) end"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458251","https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458281"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458250","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458252","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458253","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458254","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458255","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458256","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458257","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458258","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458259","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458260","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458261","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458262","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458263","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458264","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458265","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458266","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458267","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458268","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458269","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458270","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458271","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458272","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458273","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458274","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458275","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458276","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458277","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458279"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458249","@type":"sc:Range","label":"algorithm Complement- Bindings"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458251"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458250","@type":"sc:Range","label":"1) input G:=(P, Fr, Fb, I, E, cf, th, W, w) \u0152L{GFR..."},{"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458278"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458277","@type":"sc:Range","label":"28) end"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458281"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458280"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458279","@type":"sc:Range","label":"4.3.2.3 Complexity and scalability"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458281"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458280","@type":"sc:Range","label":"Worst-case complexity of the proposed algorithms"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458287","https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458291","https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458293"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458285","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458286","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458288"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458284","@type":"sc:Range","label":"ExpandFPN and GFRNInference"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458287"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458286","@type":"sc:Range","label":"Discussion of analysis results"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458291","https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458293"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458289","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458292","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458294"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458288","@type":"sc:Range","label":"4.4 Implementing the Varlet Analyst"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458291"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458290"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458289","@type":"sc:Range","label":"4.4.1 Architecture"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458291"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458290","@type":"sc:Range","label":"Figure 4.41. Architecture of the Varlet Analyst"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458293"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458292","@type":"sc:Range","label":"4.4.2 User interface"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458298"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458297"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458296","@type":"sc:Range","label":"multiple views to handle complexity"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458298"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458297","@type":"sc:Range","label":"Figure 4.42. Customization Front-End"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458301"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458300","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458302"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458299","@type":"sc:Range","label":"consistency check implementation of analysis opera..."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458301"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458300","@type":"sc:Range","label":"Figure 4.43. Customization Front-End (2)"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458305","https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458307"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458304","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458306"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458303","@type":"sc:Range","label":"detailed representation"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458305"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458304","@type":"sc:Range","label":"Figure 4.44. Analysis Front-End (overview)"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458307"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458306","@type":"sc:Range","label":"Figure 4.45. Analysis Front-End (detail view)"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458310"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458309","@type":"sc:Range","label":"indicating imperfect information"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458313"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458312","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458314"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458311","@type":"sc:Range","label":"automatic inference"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458313"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458312","@type":"sc:Range","label":"Figure 4.46. Graphical and textual documentation o..."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458318"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458317","@type":"sc:Range","label":"case study"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458324"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458323"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458322","@type":"sc:Range","label":"experiences with the current tool"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458324"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458323","@type":"sc:Range","label":"4.6 Related work"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458328"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458327","@type":"sc:Range","label":"Signore et 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Mapping rule MapRSToClass"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458387"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458386"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458385","@type":"sc:Range","label":"attribute transfer clauses"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458387"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458386","@type":"sc:Range","label":"Figure 5.7. Reverse production MapRSToClassrv"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458390"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458389"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458388","@type":"sc:Range","label":"application conditions"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458390"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458389","@type":"sc:Range","label":"Figure 5.8. Forward production MapRSToClassfw"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458393"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458392"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458391","@type":"sc:Range","label":"start graph"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458393"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458392","@type":"sc:Range","label":"Figure 5.9. Startgraph for schema migration"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458411"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458395","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458396","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458397","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458398","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458399","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458400","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458401","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458402","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458403","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458404","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458405","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458406","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458407","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458408","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458410"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458394","@type":"sc:Range","label":"translation algorithm"},{"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458409"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458408","@type":"sc:Range","label":"13) end"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458411"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458410","@type":"sc:Range","label":"5.2.2 Mapping variants to class hierarchies"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458416"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458413","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458414"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458412","@type":"sc:Range","label":"MapVariantTo- ConcreteClass"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458416"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458415","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458417"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458414","@type":"sc:Range","label":"Example 5.1 Application of rules MapRSToClass and ..."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458416"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458415","@type":"sc:Range","label":"Figure 5.12. Example RS Tenant with two variants a..."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458420","https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458423"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458419","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458421"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458418","@type":"sc:Range","label":"MapVariantsTo- AbstractClassrv"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458420"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458419","@type":"sc:Range","label":"Figure 5.14. Production MapVariantsToAbstractClass..."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458423"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458422"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458421","@type":"sc:Range","label":"Example 5.2 Application of production MapVariantsT..."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458423"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458422","@type":"sc:Range","label":"Figure 5.15. Example application of production Map..."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458426","https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458429"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458425","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458427","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458430"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458424","@type":"sc:Range","label":"MapVariantsTo- Inheritancerv"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458426"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458425","@type":"sc:Range","label":"Figure 5.16. Production MapVariantsToInheritancerv..."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458429"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458428"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458427","@type":"sc:Range","label":"Example 5.3 Application of production MapVariantsT..."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458429"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458428","@type":"sc:Range","label":"Figure 5.17. Example application of production Map..."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458433"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458432","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458434"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458431","@type":"sc:Range","label":"key columns"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458433"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458432","@type":"sc:Range","label":"Figure 5.18. Mapping rule MapColToAttr"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458437"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458436"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458435","@type":"sc:Range","label":"MapRINDToAssoc [1:1]"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458437"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458436","@type":"sc:Range","label":"Figure 5.19. Mapping rule MapRINDToAssoc[1:1]"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458442","https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458446","https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458449"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458441","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458443","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458444","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458447"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458440","@type":"sc:Range","label":"MapIINDTo Inheritance"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458442"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458441","@type":"sc:Range","label":"Figure 5.20. Mapping rule MapRINDToAssoc[N:0,1]"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458446"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458445"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458444","@type":"sc:Range","label":"5.2.5 Discussion"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458446"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458445","@type":"sc:Range","label":"Figure 5.22. Mapping rule MapIINDToInheritance"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458449"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458448"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458447","@type":"sc:Range","label":"5.3 Conceptual schema redesign"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458449"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458448","@type":"sc:Range","label":"5.3.1 Schema redesign transformations"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458452"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458451"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458450","@type":"sc:Range","label":"insufficiency of predefined transformations"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458452"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458451","@type":"sc:Range","label":"5.3.2 An extensible catalog of schema redesign tra..."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458455","https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458457"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458454","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458456"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458453","@type":"sc:Range","label":"SplitClass"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458455"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458454","@type":"sc:Range","label":"Figure 5.23. Catalog of conceptual redesign transf..."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458457"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458456","@type":"sc:Range","label":"Figure 5.24. Schema transformation SplitClass"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458460"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458459"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458458","@type":"sc:Range","label":"MoveAttribute"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458460"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458459","@type":"sc:Range","label":"Figure 5.25. Schema transformation MoveAttribute"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458463"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458462"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458461","@type":"sc:Range","label":"Generalize"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458463"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458462","@type":"sc:Range","label":"Figure 5.26. Schema transformation Generalize"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458466","https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458468","https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458470","https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458473"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458465","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458467","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458471"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458464","@type":"sc:Range","label":"PushUpAttr"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458466"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458465","@type":"sc:Range","label":"Figure 5.27. Schema transformation PushUpAttribute..."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458468","https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458470"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458469"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458467","@type":"sc:Range","label":"5.3.3 Complex schema redesign transformations"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458470"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458469","@type":"sc:Range","label":"Figure 5.28. Complex transformation MoveOverAggreg..."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458473"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458472"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458471","@type":"sc:Range","label":"5.4 Incremental change propagation"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458473"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458472","@type":"sc:Range","label":"5.4.1 The history graph"},{"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458475"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458474","@type":"sc:Range","label":"history graph"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458479"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458478"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458477","@type":"sc:Range","label":"dependencies among edges"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458479"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458478","@type":"sc:Range","label":"Figure 5.30. Template of transformation Generalize..."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458484"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458482","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458485"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458481","@type":"sc:Range","label":"transitive closure in path expressions"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458484"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458483"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458482","@type":"sc:Range","label":"Definition 5.4 1-context of a set of nodes"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458484"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458483","@type":"sc:Range","label":"The 1-context of a set of nodes S in a graph G is ..."},{"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458486"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458485","@type":"sc:Range","label":"Definition 5.5 Context of a transformation applica..."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458490","https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458494"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458489","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458491","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458493"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458488","@type":"sc:Range","label":"history graph model"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458490"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458489","@type":"sc:Range","label":"Figure 5.31. History graph model"},{"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458492"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458491","@type":"sc:Range","label":"Definition 5.6 History graph"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458494"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458493","@type":"sc:Range","label":"5.4.2 The propagation mechanism"},{"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458496"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458495","@type":"sc:Range","label":"application of transformations to the history grap..."},{"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458497"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458496","@type":"sc:Range","label":"Definition 5.7 Application of transformations to a..."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458501"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458500"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458499","@type":"sc:Range","label":"Phase I: forward propagation"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458501"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458500","@type":"sc:Range","label":"Figure 5.32. Phase I: forward propagation"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458505"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458504","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458506"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458503","@type":"sc:Range","label":"Phase III: reevaluation"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458505"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458504","@type":"sc:Range","label":"Figure 5.33. Phase II: backward propagation"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458509"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458508"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458507","@type":"sc:Range","label":"Phase IV: translation"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458509"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458508","@type":"sc:Range","label":"Figure 5.35. Phase IV: translation"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458512"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458511"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458510","@type":"sc:Range","label":"realization in Progres"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458512"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458511","@type":"sc:Range","label":"Figure 5.36. Transaction PropagateChange"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458515","https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458517"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458514","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458516"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458513","@type":"sc:Range","label":"adaption of productions"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458515"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458514","@type":"sc:Range","label":"Figure 5.37. Graph test Generalize_getParams"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458517"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458516","@type":"sc:Range","label":"Figure 5.38. Production Generalize_withParams"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458522","https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458524"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458519"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458518","@type":"sc:Range","label":"scalability"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458522","https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458524"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458520"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458519","@type":"sc:Range","label":"5.5 Implementing the Varlet Migrator"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458522","https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458524"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458521","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458523"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458520","@type":"sc:Range","label":"5.5.1 Architecture"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458522"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458521","@type":"sc:Range","label":"Figure 5.39. Architecture of the Varlet Migrator"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458524"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458523","@type":"sc:Range","label":"Figure 5.40. Using the Progres environment to exte..."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458526"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458525","@type":"sc:Range","label":"command extraction"},{"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458528"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458527","@type":"sc:Range","label":"textual unparsers"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458531"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458530"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458529","@type":"sc:Range","label":"initial translation"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458531"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458530","@type":"sc:Range","label":"Figure 5.41. Logical schema after first analysis s..."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458534"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458533"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458532","@type":"sc:Range","label":"conceptual redesign"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458534"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458533","@type":"sc:Range","label":"Figure 5.42. Redesigned conceptual schema (Migrati..."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458537"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458536"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458535","@type":"sc:Range","label":"iteration"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458537"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458536","@type":"sc:Range","label":"Figure 5.43. Completed logical schema (top) and up..."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458539"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458538","@type":"sc:Range","label":"change propagation"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458542"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458541","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458543"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458540","@type":"sc:Range","label":"implementation of extensions"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458542"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458541","@type":"sc:Range","label":"Figure 5.44. Implementation of conceptual extensio..."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458546"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458545"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458544","@type":"sc:Range","label":"ObjectDRIVER"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458546"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458545","@type":"sc:Range","label":"Figure 5.45. ObjectDRIVER overview"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458549","https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458552","https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458555"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458548","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458550","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458553"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458547","@type":"sc:Range","label":"Integration of ObjectDRIVER and Varlet"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458549"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458548","@type":"sc:Range","label":"Figure 5.46. Integration of the ObjectDRIVER middl..."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458552"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458551"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458550","@type":"sc:Range","label":"5.6.1 Generating descriptions for relational and o..."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458552"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458551","@type":"sc:Range","label":"Figure 5.47. Relational schema description for Obj..."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458555"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458554"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458553","@type":"sc:Range","label":"5.6.2 Generating object-relational mapping descrip..."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458555"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458554","@type":"sc:Range","label":"Figure 5.48. Object schema description for ObjectD..."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458558"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458557","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458559"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458556","@type":"sc:Range","label":"classes and subclasses"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458558"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458557","@type":"sc:Range","label":"Figure 5.49. Mapping description for classes and s..."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458562"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458561","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458563"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458560","@type":"sc:Range","label":"base table attributes"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458562"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458561","@type":"sc:Range","label":"Figure 5.51. Mapping description for base table at..."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458566"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458565","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458567"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458564","@type":"sc:Range","label":"remote attributes"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458566"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458565","@type":"sc:Range","label":"Figure 5.53. Mapping description for remote attrib..."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458570"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458569","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458571"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458568","@type":"sc:Range","label":"base table relationships"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458570"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458569","@type":"sc:Range","label":"Figure 5.55. Mapping description for base table re..."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458574"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458573","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458575"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458572","@type":"sc:Range","label":"remote relationships"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458574"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458573","@type":"sc:Range","label":"Figure 5.57. Mapping description for remote relati..."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458578"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458577","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458579"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458576","@type":"sc:Range","label":"IND-based inheritance"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458578"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458577","@type":"sc:Range","label":"Figure 5.59. Mapping description for IND-based inh..."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458582","https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458584"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458581","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458583","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458585"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458580","@type":"sc:Range","label":"object-oriented application code"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458582"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458581","@type":"sc:Range","label":"Figure 5.61. Mapping Description for ObjectDRIVER"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458584"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458583","@type":"sc:Range","label":"Figure 5.62. MIS application code (example)"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458588"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458587","@type":"sc:Range","label":"case study"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458592"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458590"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458589","@type":"sc:Range","label":"middleware generation"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458592"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458591"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458590","@type":"sc:Range","label":"5.8 Related work"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458592"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458591","@type":"sc:Range","label":"5.8.1 Conceptual schema migration and consistency ..."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458597"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458596","@type":"sc:Range","label":"problem of consistency"},{"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458600"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458599","@type":"sc:Range","label":"problem of variant structures"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458603"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458602","@type":"sc:Range","label":"Hainaut et al."},{"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458605"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458604","@type":"sc:Range","label":"COTS middleware Web-gateways"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458608","https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458614","https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458620","https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458625","https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458629","https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458633"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458607","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458609","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458610","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458611","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458612","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458613","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458615","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458617","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458618","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458621","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458622","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458623","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458626","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458627","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458630","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458631","https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458632"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458606","@type":"sc:Range","label":"CHAPTER 6 Conclusions and Future Perspectives"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458608"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458607","@type":"sc:Range","label":"6.1 Major contributions"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458614"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458613","@type":"sc:Range","label":"incremental consistency preservation"},{"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458616"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458615","@type":"sc:Range","label":"heterogeneous data integration"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458620"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458619"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458618","@type":"sc:Range","label":"conceptual migration"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458620"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458619","@type":"sc:Range","label":"6.3 Open problems"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458625"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458624"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458623","@type":"sc:Range","label":"loss of layout information during change propagati..."},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458625"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458624","@type":"sc:Range","label":"6.4 Future perspectives"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458629"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458628"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458627","@type":"sc:Range","label":"self-adaptation"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458629"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458628","@type":"sc:Range","label":"Figure 6.1. 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Transformation Aggregate"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458659"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458658"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458657","@type":"sc:Range","label":"AssociationToClass"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458659"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458658","@type":"sc:Range","label":"Figure B.2. 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Transformation ChangeAssocCardinality"},{"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458664"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458663","@type":"sc:Range","label":"ChangeAttribute- Type"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458667"],"ranges":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458666"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458665","@type":"sc:Range","label":"ClassToAssociation"},{"canvases":["https://digital.ub.uni-paderborn.de/i3f/v20/2189/canvas/1458667"],"@id":"https://digital.ub.uni-paderborn.de/i3f/v20/2189/range/1458666","@type":"sc:Range","label":"Figure B.5. 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