Structure of Intuitionistic Fuzzy Sets in Γ-Semihyperrings

Abstract

As we know, intuitionistic fuzzy sets are extensions of the standard fuzzy sets. Now, in this paper, the basic definitions and properties of intuitionistic fuzzy Gamma-hyperideals of a Gamma-semihyperring are introduced. A few examples are presented. In particular, some characterizations of Artinian and Noetherian Gamma-semihyperring are given.