Title:
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Eigenvectors and generators of fuzzy 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 new geometric approach to the study of the eigenvectors is provided. The T-eigenvectors of a T-indistinguishability operator are characterized as its generators in the sense of the representation theorem of L. Valverde (1985). This theorem states that every T-indistinguishability operator on a set X can be generated by a family of fuzzy subsets of X and, reciprocally, every family of fuzzy subsets of X generated a T-indistinguishability operator on X in a natural way. Some concepts related to T-eigenvectors and generators of T-indistinguishabilities are reviewed, and their relation is studied. Some examples are given. |
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 -Fuzzy relation -Max-T product -T-closure -T-eigenvector -T-indistinguishability operator -Generator -Lògica difusa |
Rights:
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Document type:
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Article - Published version Conference Object |
Published by:
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