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In this paper, we defined the concept \ (SUP\) -hesitant fuzzy interior ideals in \ (\) -semigroups, which is generalized of hesitant fuzzy interior ideals in \ (\) -semigroups. Additionally, we study fundamental properties of \ (SUP\) -hesitant fuzzy interior ideals in \ (\) -semigroups. Finally, we investigate characterized properties of those.
Khamrot et al. (Wed,) studied this question.