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In this paper, we introduce the notion of hesitant fuzzy (implicative) filters and get some results on BE-algebras and show that every hesitant fuzzy implicative filter is a hesitant fuzzy filter but not the converse.
The aim of this note is to introduce the notion of fuzzy congruence relation on pseudo BE-algebras and investigate their properties. We show that the set of fuzzy congruence relations of a pseudo BE-algebra is a complete lattice. Moreover, the quotient structure induced by fuzzy congruence relations are studied.
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