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Approximate fuzzy preorders and equivalences
Boixader Ibáñez, Dionís; Recasens Ferrés, Jorge
Universitat Politècnica de Catalunya. Departament d'Estructures a l'Arquitectura; Universitat Politècnica de Catalunya. FIA - Modelització Matemàtica Funcional i Aplicacions
Although Fuzzy Preorders and Fuzzy Equivalences are well established types of fuzzy relations, they are defined in terms of properties to be fulfilled in a crisp way. In this paper we relax those requirements by making them gradual in some way. As a result, a number of relations which are not strictly reflexive, symmetric or transitive with respect to any t-norm T, would be regarded as (Approximate) Fuzzy Preorders or Equivalences.
Peer Reviewed
-Àrees temàtiques de la UPC::Matemàtiques i estadística::Lògica matemàtica
-Fuzzy logic
-Lògica difusa
Article - Published version
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