Intuitionistic Fuzzy Implicative Hyper BCK -ideals of Hyper BCK -algebras

摘要

After he introduction of fuzzy sets by Zadeh, there have been a number of generalizations of this fundamental concept. The notion of intuitionistic fuzzy sets introduced by Atanassov is one among them. In this paper, we apply the concept of intuitionistic fuzzy sets to implicative hyper BCK -ideals in hyper BCK -algebras. The notion of intuitionistic fuzzy implicative hyper BCK -ideals of a hyper BCK -algebra is introduced and some related properties are investigated. Relations between intuitionistic fuzzy implicative hyper BCK -ideals and intuitionistic fuzzy hyper BCK - ideals are provided. Characterizations of intuitionistic fuzzy implicative hyper BCK - idealas are given. Using a collection of implicative hyper BCK -ideals, intuitionistic fuzzy implicative hyper BCK -ideals are established.