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Title:
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Transitive closure of interval-valued fuzzy relations
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Author:
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González del Campo, Ramón; Garmendia Salvador, Luis; 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 |
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Abstract:
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In this paper are introduced some concepts of interval-valued fuzzy relations and some of their properties: reflexivity, symmetry, T-transitivity, composition and local reflexivity. The existence and uniqueness of T-transitive closure of interval-valued fuzzy relations is proved. An algorithm to compute the T-transitive closure of finite interval-valued fuzzy relations is showed. Some properties and some examples is given for t-representable and t-pseudo representable generalized t-norms. |
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Abstract:
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Peer Reviewed |
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Subject(s):
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-Àrees temàtiques de la UPC::Matemàtiques i estadística::Lògica matemàtica
-Fuzzy logic
-Generalized t-norms
-Interval-valued Fuzzy Relations
-Interval-valued Fuzzy Sets
-t-norms
-t-representable t-norms
-T-transitive closure
-Lògica difusa |
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Rights:
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Document type:
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Article - Submitted version
Article |
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