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Normal fuzzy filters in BE-algebras
- Ahn, Sun Shin;
- Kim, Young Hie
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In this paper, we introduce the notion of normal fuzzy filters and maximal fuzzy filters in a BE-algebra. We prove that every maximal fuzzy filter of X is normal and if mu is a maximal fuzzy filter of X, then x(mu) = {x is an element of X vertical bar mu(x) = mu(1)} is a maximal filter of X.
키워드
(fuzzy) filter; BE-algebra; normal; maximal
- 제목
- Normal fuzzy filters in BE-algebras
- 저자
- Ahn, Sun Shin; Kim, Young Hie
- 발행일
- 2013-07
- 유형
- Article
- 권
- 15
- 호
- 5
- 페이지
- 903 ~ 910