Intuitionistic Fuzzy Hyperideal Extensions of Semihypergroups

Kostaq Hila, Luljeta Kikina, Bijan Davvaz

Abstract

The notion of intuitionistic fuzzy sets was introduced by Atanassov as a generalization of the notion of fuzzy sets. In this paper, using Atanassov idea, we introduce the concepts of intuitionistic fuzzy hyperideal extension of semihypergroups and intuitionistic fuzzy prime (semiprime) hyperideal of semihypergroup. We discuss the properties of them and study the relationship between prime (semiprime) hyperideals and intuitionistic fuzzy prime (semiprime) hyperideals by means of the extensions of intuitionistic fuzzy hyperideals of semihypergroup.