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Modalities for an Allegorical Conceptual Data Model

dc.contributor.authorZielinski, Bartosz
dc.contributor.authorMaślanka, Paweł
dc.contributor.authorSobieski, Ścibor
dc.date.accessioned2016-04-26T07:20:16Z
dc.date.available2016-04-26T07:20:16Z
dc.date.issued2014
dc.identifier.issn2075-1680
dc.identifier.urihttp://hdl.handle.net/11089/17875
dc.description.abstractAllegories are enriched categories generalizing a category of sets and binary relations. In this paper, we extend a new, recently-introduced conceptual data model based on allegories by adding support for modal operators and developing a modal interpretation of the model in any allegory satisfying certain additional (but natural) axioms. The possibility of using different allegories allows us to transparently use alternative logical frameworks, such as fuzzy relations. Mathematically, our work demonstrates how to enrich with modal operators and to give a many world semantics to an abstract algebraic logic framework. We also give some examples of applications of the modal extension.pl_PL
dc.description.sponsorshipWe would like to thank the reviewers for their helpful suggestions.pl_PL
dc.language.isoenpl_PL
dc.publisherMDPI AGpl_PL
dc.relation.ispartofseriesAxioms;2
dc.rightsUznanie autorstwa 3.0 Polska*
dc.rights.urihttp://creativecommons.org/licenses/by/3.0/pl/*
dc.subjectallegoriespl_PL
dc.subjectdata modelingpl_PL
dc.subjectmodal logicpl_PL
dc.titleModalities for an Allegorical Conceptual Data Modelpl_PL
dc.typeArticlepl_PL
dc.page.number260-279pl_PL
dc.contributor.authorAffiliationUniversity of Łódź, Faculty of Physics and Applied Informaticspl_PL
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dc.contributor.authorEmailbzielinski@uni.lodz.plpl_PL
dc.relation.volume3pl_PL


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