As a general concept of a sup-hesitant fuzzy UP-subalgebra (resp., UPfilter, UP-ideal, strong UP-ideal) of a UP-algebra, the concept of a sup α thesitant fuzzy UP-subalgebra (resp., UP-filter, UP-ideal, strong UP-ideal) is introduced, and the generalizations of these hesitant fuzzy sets are discussed.Moreover, we discuss the relations between the sup α t -hesitant fuzzy UP-subalgebras (resp., UP-filters, UP-ideals, strong UP-ideals) and their level subsets.
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Julatha et al. (2024) studied this question.
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