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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.
CitationRecasens, J. Permutable indistinguishability operators, perfect vague groups and fuzzy subgroups. "Information sciences", 01 Agost 2012, vol. 196, p. 129-142.
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