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Título: | On similarity in fuzzy description logics |
Autor: | Armengol, Eva CSIC ORCID ; Dellunde, Pilar CSIC ORCID ; García-Cerdaña, Àngel CSIC ORCID | Palabras clave: | Fuzzy description logics Description logics Similarity relation Similarity box Attribute-value representation |
Fecha de publicación: | 2016 | Editor: | Elsevier | Citación: | Fuzzy Sets and Systems 292: 49- 74 (2016) | Resumen: | 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) 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. | URI: | http://hdl.handle.net/10261/136955 | DOI: | 10.1016/j.fss.2015.11.021 | Identificadores: | doi: 10.1016/j.fss.2015.11.021 issn: 0165-0114 |
Aparece en las colecciones: | (IIIA) Artículos |
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