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Title:
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Approximating arbitrary fuzzy subsets by extensional ones
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Author:
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Mattioli Aramburu, Gabriel; Recasens Ferrés, Jorge
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Other authors:
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Universitat Politècnica de Catalunya. Departament de Tecnologia de l'Arquitectura |
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Abstract:
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Abstract:
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An interesting problem within the theory of indistinguishability operators is how to approximate an arbitrary fuzzy subset by a similar extensional one. In this paper, we aim to solve this question and provide three methods to find extensional approximations of fuzzy subsets mu. These methods are exhaustively explained for different Archimedean t-norms, and an example is provided to illustrate them. |
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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
-Extensional fuzzy subset
-indistinguishability operator
-lower approximation
-power with respect to a t-norm
-quasi-arithmetic mean
-upper approximation
-T-transitive relations
-generators
-logic
-sets
-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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