Geodesic
On normalizers in fuzzy groups
Algebra and discrete mathematics, Tome 15 (2013) no. 1, pp. 23-36

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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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L. A. Kurdachenko; K. O. Grin; N. A. Turbay. On normalizers in fuzzy groups. Algebra and discrete mathematics, Tome 15 (2013) no. 1, pp. 23-36. http://geodesic.mathdoc.fr/item/ADM_2013_15_1_a3/