Title:
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Aggregating fuzzy subgroups and T-vague groups
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Author:
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Boixader Ibáñez, Dionís; Mayor, Gaspar; Recasens Ferrés, Jorge
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Other authors:
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Universitat Politècnica de Catalunya. Departament de Tecnologia de l'Arquitectura |
Abstract:
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Fuzzy subgroups and T-vague groups are interesting fuzzy algebraic structures that have been widely studied. While fuzzy subgroups fuzzify the concept of crisp subgroup, T-vague groups can be identified with quotient groups of a group by a normal fuzzy subgroup and there is a close relation between both structures and T-indistinguishability operators (fuzzy equivalence relations).
In this paper the functions that aggregate fuzzy subgroups and T-vague groups will be studied. The functions aggregating T-indistinguishability operators have been characterized [9] and the main result of this paper is that the functions aggregating T-indistinguishability operators coincide with the ones that aggregate fuzzy subgroups and T-vague groups. In particular, quasi-arithmetic means and some OWA operators aggregate them if the t-norm is continuous Archimedean. |
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 -Lògica difusa |
Rights:
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Document type:
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Article - Submitted version Article |
Published by:
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Springer
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