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Intuitionistic (S, T)-Fuzzy (1, 2)-Ideals of Semigroups with Interval Valued Membership Functions

On the basis of the concept of interval valued intuitionistic fuzzy set introduced by K. Atanassov [3], the notion of interval valued intuitionistic fuzzy subsemigroup (ideal, bi-ideal, (1, 2)-ideal) of a semigroup with respect to t-norm T and s-norm S is given and the characteristic properties are described. The homomorphic image and inverse image are investigated. In particular, by the help of the congruence relations on semigroups, new interval valued intuitionistic (S, T)-fuzzy subsemigroups (ideals, bi-ideals, (1, 2)-ideals) are constructed.