A hesitant fuzzy set approach to ideal theory in \(\Gamma\)-semigroups
Summary: We apply the hesitant fuzzy sets theory to \(\Gamma\)-semigroups and provide some characterizations of hesitant fuzzy left (right and bi-) ideals. We introduce the hesitant fuzzy left (resp., right and two-sided) ideal, hesitant fuzzy bi-ideal, and hesitant fuzzy interior ideal in \(\Gamma\)-semigroup and study some properties of them. Finally, a characterization of a simple \(\Gamma\)-semigroup by means of a hesitant fuzzy simple \(\Gamma\)-semigroup is obtained.
scientific article; zbMATH DE number 7036015
scientific article