1. Introduction.
After the introduction of fuzzy sets by Zadeh [10], several researchers were conducted on
the generalizations of the notion of fuzzy set. The concept of intuitionistic fuzzy set was
introduced by Atanassov [1, 2] as a generalization of the notion of fuzzy set. In [7], Kuroki
gave some properties of fuzzy ideals and fuzzy bi-ideals in semigroups. In [6, 5], Kim and
Jun considered the intuitionistic fuzzification of the concept of several ideals in a semigroup,
and investigated some properties of such ideals. In this paper, we discuss further properties
of intuitionistic fuzzy setting of several ideals in a semigroup.