On similarity in fuzzy description logics
Armengol, Eva (Institut d'Investigació en Intel·ligència Artificial (IIIA-CSIC))
Dellunde i Clavé, Pilar (Universitat Autònoma de Barcelona. Departament de Filosofia)
García-Cerdaña, Àngel (Institut d'Investigació en Intel·ligència Artificial (IIIA-CSIC))

Date:	2016
Abstract:	This paper is a contribution to the study of similarity relations between objects represented as attribute-value pairs in Fuzzy Description Logics . For this purpose we use concrete domains in the fuzzy description logic IALCEF(D)IALCEF(D) associated either with a left-continuous or with a finite t-norm. We propose to expand this fuzzy description logic by adding a Similarity Box (SBox) including axioms expressing properties of fuzzy equalities. We also define a global similarity between objects from similarities between the values of each object attribute (local similarities) and we prove that the global similarity defined using a t-norm inherits the usual properties of the local similarities (reflexivity, symmetry or transitivity). We also prove a result relative to global similarities expressing that, in the context of the logic MTL∀, similar objects have similar properties, being these properties expressed by predicate formulas evaluated in these objects.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió sotmesa a revisió
Subject:	Similarity relation ; Description logics ; Fuzzy description logics ; Attribute-value representation ; Similarity box
Published in:	Fuzzy sets and systems, Vol. 292 (2016) , p. 49-74, ISSN 0165-0114

DOI: 10.1016/j.fss.2015.11.021

Pre-print 45 p, 408.0 KB

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