Atanassov’s Intuitionistic Fuzzy Ideals of Γ-Semigroups

Department of Mathematics, Jadavpur University Kolkata-700032, India manasi−[email protected] Abstract The notion of intuitionistic fuzzy set was introduced by Atanassov as a generalization of the notion of fuzzy set. In this paper we apply this concept of Atanassov to ideals, prime ideals and semiprime ideals of Γsemigroups in order to obtain some characterization theorems. We also introduce the notion of Atanassov’s intuitionistic fuzzy ideal extension in a Γ-semigroup and investigate some of their important properties. A regular Γ-semigroup has been characterized in terms of Atanasov’s intutionistic fuzzy ideal. Characterization of prime ideal of a Γ-semigroup has also been obtained in terms of Atanassov’s intutionistic fuzzy ideal extension.