Hesitant Hybrid Ideals in Γ-semiring

Hesitant fuzzy sets constitute a great tool for group decision-making situations where experts are unsure about which of the many alternative memberships for an element in a set to choose. These ideas have been applied by numerous scholars recently in decision-making and clustering analysis. This paper introduces the concepts of hesitant hybrid [Formula: see text]-subsemiring, hesitant hybrid ideals and hesitant hybrid bi-ideals; hesitant hybrid interior ideals in a [Formula: see text]-semiring. We examined a few of their characteristics and relationships. We obtained the equivalent condition for hesitant hybrid [Formula: see text]-subsemiring to be a hesitant hybrid bi-ideal and also found an equivalent condition for hesitant hybrid interior ideal in a regular [Formula: see text]-semiring.