Abstract

ABSTRACT In this paper we use the method of fuzzification of crisp set to fuzzy set as extension of crisp set to fuzzy set. In particular the concepts of fuzzy closed filters of a bounded BE-algebra are introduced; and also some related properties are investigated. As a result a new concept of fuzzy closed filters of a bounded BE-algebras are discussed. Using the idea of fuzzy closed filters of a bounded BE-algebras, some related properties are investigated. In general characterization theorems that related fuzzy closed filters and fuzzy filter are proved. Furthermore, characterization theorem that relate closed filter and fuzzy closed filter in abounded BE-algebra is investigated.

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