Title:
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Indistinguishability operators with respect to different t-norms
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Author:
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Boixader Ibáñez, Dionís; 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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An isomorphism f between two continuous Archimedean t-norms T and T′ transforms a T-indistinguishability operator E into a T′-indistinguishability operator f ∘ E and many interesting properties of E are transfered to f ∘ E by f. This paper generalizes this result in order to relate indistinguishability operators with respect to two non isomorphic continuous Archimedean t-norms. This will allow us to transfer definitions and properties from strict to non-strict Archimedean t-norms and vice versa. |
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 -Indistinguishability operator -non-strict Archimedean t-norm -representation theorem -strict Archimedean t-norm -Lògica difusa |
Rights:
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Document type:
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Article - Published version Article |
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