On Hyper Pseudo BCK-algebras

In this paper, we introduce the notion of hyper pseudo BCK- algebras, which is a generalization of pseudo BCK-algebras and hyper BCK-algebras and we investigates some related properties. In follow, we define some kinds of hyper pseudo BCK-ideals of a hyper pseudo BCK- algebra and we find the relations among them. Finally, we characterize the hyper pseudo BCK-ideals of type 4 generated by a nonempty subset.