Permutable indistinguishability operators, perfect vague groups and fuzzy subgroups

Authors:
J. Recasens
Affiliations:
Secció Matemítiques i Informítica, ETS Arquitectura del Vallès, Universitat Politècnica de Catalunya, Pere Serra 1-15, 08190 Sant Cugat del Vallès, Spain
Venue:
Information Sciences: an International Journal
Year:
2012

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Abstract

Permutability between T-indistinguishability operators is a very interesting property that is related to the compatibility of the operators with algebraic structures. It will be shown that the sup -T product E@?F of two T-indistinguishability operators is also a T-indistinguishability operator if and only if E and F are permutable T-indistinguishability operators (i.e., E@?F=F@?E). This property will be related to the study of fuzzy subgroups, fuzzy normal subgroups and vague groups. The aggregation of fuzzy subgroups will also be analyzed.