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On an equivalence of fuzzy subgroups. I. (English) Zbl 1009.20080

Summary: We study equivalence classes of fuzzy subgroups of a given group under a suitable equivalence relation. We characterize the number of fuzzy subgroups of finite Abelian groups; in particular the fuzzy subgroups of \(p\)-groups. First, we discuss some results on the equivalence of fuzzy subsets of a given set in general.

MSC:

20N25 Fuzzy groups
20K01 Finite abelian groups
03E72 Theory of fuzzy sets, etc.
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References:

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