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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.

advances in fuzzy systems

On <math xmlns="http://www.w3.org/1998/Math/MathML" id="M1"> <mi mathvariant="normal">inf</mi> </math>-Hesitant Fuzzy <math xmlns="http://www.w3.org/1998/Math/MathML" id="M2"> <mi mathvariant="normal">Γ</mi> </math>-Ideals of <math xmlns="http://www.w3.org/1998/Math/MathML" id="M3"> <mi mathvariant="normal">Γ</mi> </math>-Semigroups

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

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