Abstract

We consider the intuitionistic fuzzification of the concept of interior ideals in a semigroup S, and investigate some properties of such ideals. For any homomorphism f from a semigroup S to a semigroup T, if B=(μB,γB) is an intuitionistic fuzzy interior ideal of T, then the preimage f−1(B)=(f−1(μB),f−1(γB)) of B under f is an intuitionistic fuzzy interior ideal of S.