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 μ is a maximal fuzzy filter of X, then Xμ = {x ∈ X|μ(x) = μ(1)} is a maximal filter of X.
| Original language | English |
|---|---|
| Pages (from-to) | 903-910 |
| Number of pages | 8 |
| Journal | Journal of Computational Analysis and Applications |
| Volume | 15 |
| Issue number | 5 |
| State | Published - 2013 |
Keywords
- (fuzzy) filter
- BE-algebra
- Maximal
- Normal