Atanassov’s intuitionistic fuzzy ideals of Г-semigroups, Int

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 Γ-semigroups 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. Mathematics Subject Classification: 20N2