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Normal fuzzy filters in BE-algebras
- Authors
- Ahn, Sun Shin; Kim, Young Hie
- Issue Date
- Jul-2013
- Publisher
- EUDOXUS PRESS, LLC
- Keywords
- (fuzzy) filter; BE-algebra; normal; maximal
- Citation
- JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, v.15, no.5, pp 903 - 910
- Pages
- 8
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS
- Volume
- 15
- Number
- 5
- Start Page
- 903
- End Page
- 910
- ISSN
- 1521-1398
1572-9206
- Abstract
- 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.
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Related Researcher
- Ahn, Sun Shin
- College of Education (Department of Mathematics Education)