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Title

On similarity in fuzzy description logics

AuthorsArmengol, Eva ; Dellunde, Pilar ; García-Cerdaña, Àngel
KeywordsFuzzy description logics
Description logics
Similarity relation
Similarity box
Attribute-value representation
Issue Date2016
PublisherElsevier
CitationFuzzy Sets and Systems 292: 49- 74 (2016)
AbstractThis 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) 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.
URIhttp://hdl.handle.net/10261/136955
DOI10.1016/j.fss.2015.11.021
Identifiersdoi: 10.1016/j.fss.2015.11.021
issn: 0165-0114
Appears in Collections:(IIIA) Artículos
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