On inf -Hesitant Fuzzy Γ -Ideals of Γ -Semigroups

Abstract

The notions of an inf -hesitant fuzzy Γ -ideal and a sup , inf -hesitant fuzzy Γ -ideal, which are a generalization of an interval-valued fuzzy Γ -ideal, of a Γ -semigroup are introduced and some properties are investigated. Characterizations of the notions are provided in terms of sets, fuzzy sets, intuitionistic fuzzy sets, interval-valued fuzzy sets, and hesitant fuzzy sets. Furthermore, characterizations of a Γ -ideal of a Γ -semigroup are given in terms of inf -hesitant and sup , inf -hesitant fuzzy Γ -ideals.