On normalizers in fuzzy groups

L. A. Kurdachenko, K. O. Grin, N. A. Turbay

Abstract


In an arbitrary fuzzy group we define the normalizer of fuzzy subgroup and study some its properties. In particular, the characterization of nilpotent fuzzy group has been obtained.


Keywords


Fuzzy group; fuzzy subgroup; lower central series; nilpotent fuzzy group; normalizer condition; ascendant fuzzy subgroup; characteristic function

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