β-nilpotent fuzzy subgroups

In this paper, for an automorphism of a group, say β, we introduce and study the notions of β-commutative and β-nilpotent fuzzy subgroups which are a well generalization of groups. In particular, we get a relation between these two concepts. Finally, we show that a group G is β-nilpotent if and only if any fuzzy subgroups of G is β-nilpotent.

کلیدواژه ها:

fyzzy subgroups ، β-nilpotent fuzzy subgroups