The concept of weak implicative lters is introduced in BE-algebras. Some characterizations of weak implicative lters are derived in terms of lters of a BE-algebra. Fuzzication is applied to the class of weak implicative lters. Some properties of fuzzy weak implicative lters are studied with respect to fuzzy relations and homomorphisms. The notion of triangular normed fuzzy weak implicative lters is introduced in BE-algebras and their properties are studied.
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