Intuitionistic fuzzy commutative hyper K-ideals

In this paper first we introduce the notion of intuitionistic fuzzy (weak)hyperK-ideals and also commutative hyperK-ideals of types 1–4 and by some examples we show that there are different notions. Then we obtain some relationships between these notions. Finally by given the notion of the product of two intuitionistic fuzzy commutative hyperK-ideals we give a Decomposition Theorem.