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Title:
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Extensionality with respect to indistinguishability operators
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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 de Tecnologia de l'Arquitectura |
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Abstract:
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Extensionality is explored form different points of view. Extensional fuzzy subsets from a fuzzy equivalence relation E are considered as observable subsets with respect to the granularity generated by E. Interestingly, they are characterized as the fuzzy subsets that can be obtained as combinations of the fuzzy equivalence classes of E. Extensional mappings are characterized topologically and the set of extensional mappings between two universes are algebraically determined. Specifying the results to fuzzy mappings from a universe X onto [0, 1] an interpretation of type-2 fuzzy subsets of X as fuzzification of its type-1 fuzzy subsets is provided. |
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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 mapping
-Extensional fuzzy subset
-Indistinguishability operator
-Fuzzy equivalence relation
-Fuzzy topology
-Type-2 fuzzy subset
-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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