Title:
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Fuzzy numbers and equality relations
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Author:
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Jacas Moral, Juan; Recasens Ferrés, Jorge
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Other authors:
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Universitat Politècnica de Catalunya. Departament d'Estructures a l'Arquitectura; Universitat Politècnica de Catalunya. FIA - Modelització Matemàtica Funcional i Aplicacions |
Abstract:
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A general approach to the concept of fuzzy number associated to a generalized equality on the real line is given. As a result, the use of triangular and trapezoidal fuzzy numbers, among other types, is justified and a representation theo rem that allows the construction of indistinguishability operators on the real line based on t-norms is presented. The families of fuzzy numbers invariant under traslations are characterized. |
Abstract:
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Peer Reviewed |
Subject(s):
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-Àrees temàtiques de la UPC::Matemàtiques i estadística::Lògica matemàtica -Fuzzy logic -T-norm -Indistinguishability operator -Fuzzy number -Lògica difusa |
Rights:
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Document type:
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Article - Published version Conference Object |
Published by:
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IEEE pub.
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