Fuzzy Subgroups Commutativity Degree of Finite Groups

Abstract

In this paper we introduce and study the concept of distinct fuzzy subgroups commutativity degree of a finite group G. This quantity measures the probability of tow random distinct fuzzy subgroups of G commuting. We determine distinct fuzzy subgroup commutativity degree for some of finite groups.

Key words and phrases. Commutativity degree, Group, Fuzzy, Probability.

2000 Mathematics Subject Classification. 20N25, 60B15