Permutability of fuzzy consequence operators and fuzzy interior operators

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Title:	Permutability of fuzzy consequence operators and fuzzy interior operators
Author:	Carmona, Neus; Elorza, Jorge; Recasens Ferrés, Jorge; Bragard, Jean
Other authors:	Universitat Politècnica de Catalunya. Departament d'Estructures a l'Arquitectura; Universitat Politècnica de Catalunya. FIA - Modelització Matemàtica Funcional i Aplicacions
Abstract:	In this paper we study the permutability of the composition of fuzzy consequence operators (fuzzy closings) and fuzzy interior operators (fuzzy openings). We establish several characterizations and we show the relation of permutability with the fuzzy closure and fuzzy interior of a fuzzy operator. We also study the connection between permutability and the preservation of the operator type through the composition. More precisely, when the composition of two openings is an opening and the composition of two closings is a closing.
Abstract:	Peer Reviewed
Subject(s):	-Àrees temàtiques de la UPC::Matemàtiques i estadística::Lògica matemàtica -Fuzzy logic -Fuzzy closing -Fuzzy Consequence Operator -Fuzzy Interior Operator -Fuzzy Opening -Permutability -Lògica difusa
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Document type:	Article - Published version Article
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