Anti fuzzy M-semigroup

Abstract

In this paper we introduce the notion of anti fuzzy M-semigroup, inspired by the theory of M-semigroup and fuzzy M-semigroup . We justify that the intersection of two anti fuzzy M-semigroup is again an anti fuzzy M-semigroup and the union need not be true by means of a counter example. Given two anti fuzzy M-semigroup we define the generalized Cartesian product of two anti fuzzy M-semigroup and provide some interesting results on it.