Intuitionistic (λ,μ)-fuzzy sets in Γ-semigroups

Abstract

We first introduce (λ,μ)-fuzzy ideals and (λ,μ)-fuzzy interior ideals of an ordered Γsemigroup. Then we prove that in regular and in intra-regular ordered semigroups the (λ,μ)-fuzzy ideals and the (λ,μ)-fuzzy interior ideals coincide. Lastly, we introduce (λ,μ)-fuzzy simple ordered Γsemigroup and characterize the simple ordered Γsemigroups in terms of (λ,μ)-fuzzy interior ideals.