On Intuitionistic Fuzzy Commutative Hyper BCK-Ideals

Abstract

In this paper first we define the notions of intuitionistic fuzzy commutative hyper BCK-ideals of types-1, 2, 3 and 4. Then we present some theorems which characterize the above notions according to the level subsets. Also we obtain some relationship between these notions, intuitionistic fuzzy (strong, weak, reflexive) hyper BCK-ideals in hyper BCK-algebras and related properties are investigated. Charac- terizations of an intuitionistic fuzzy commutative hyper BCK-ideals of types-1 and 3, are given. Using a collection of commutative hyper BCK-ideals of type-1, intuitionistic fuzzy commutative hyper BCK-ideal of type-1 is established.