On the relationship between fuzzy subgroups and indistinguishability operators

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Title:	On the relationship between fuzzy subgroups and indistinguishability operators
Author:	Boixader Ibáñez, Dionís; Recasens Ferrés, Jorge
Other authors:	Universitat Politècnica de Catalunya. Departament de Tecnologia de l'Arquitectura
Abstract:	Fuzzy subgroups are revisited considering their close relationship with indistinguishability operators (fuzzy equivalences) invariant under translations. Different ways to obtain new fuzzy subgroups from a given one are provided and different ways to characterize normal fuzzy subgroups are obtained. The idea of double coset of two (crisp) subgroups allow us to relate them via their equivalence classes. This is generalized to the fuzzy framework. The conditions in which a fuzzy relation R on a group G can be considered a fuzzy subgroup of G × G are obtained.
Abstract:	Peer Reviewed
Subject(s):	-Àrees temàtiques de la UPC::Matemàtiques i estadística::Lògica matemàtica -Fuzzy logic -Fuzzy subgroup -Normal fuzzy subgroup -T-indistinguishability operator -Invariance under translations -Double coset -Lògica difusa
Rights:	Attribution-NonCommercial-NoDerivs 3.0 Spain http://creativecommons.org/licenses/by-nc-nd/3.0/es/
Document type:	Article - Submitted version Article
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