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In this paper, we introduce the notion of an implicative vague filter in BE-algebras, and investigate some properties of them. Also we give conditions for a vague set to be an implicative vague filter, and we characterize implicative vague filters in BE-algebras. We define the notion of -fold implicative vague filters in BE-algebras and we give characterizations of -fold implicative vague filters and -fold implicative BE-algebras.

ON n-FOLD IMPLICATIVE VAGUE FILTERS IN BE-ALGEBRAS