Abstract
Based on the concept of fuzzy points, the notion of a prominent fuzzy GE-filter is defined, and the various properties involved are investigated. The relationship between a fuzzy GE-filter and a prominent fuzzy GE-filter is discussed, and the characterization of a prominent fuzzy GE-filter is considered. The conditions under which a fuzzy GE-filter can be a prominent fuzzy GE-filter are explored, and conditions for the trivial fuzzy GE-filter to be a prominent fuzzy GE-filter are provided. The conditions under which the ∈t-set and Qt-set can be prominent GE-filters are explored. Finally, the extension property for the prominent fuzzy GE-filter is discussed.
Original language | English |
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Article number | 26 |
Journal | International Journal of Analysis and Applications |
Volume | 21 |
DOIs | |
State | Published - 2023 |
Keywords
- (prominent) fuzzy GE-filter
- and phrases. (prominent) GE-filter
- Q-set
- trivial fuzzy GE-filter
- ∈-set