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The Prominentness of Fuzzy GE-Filters in GE-Algebrasopen access
- Issue Date
- Mar-2023
- Publisher
- Etamaths Publishing
- Keywords
- (prominent) GE-filter; (prominent) fuzzy GE-filter; trivial fuzzy GE-filter; Et-set; Qt-set
- Citation
- International Journal of Analysis and Applications, v.21
- Indexed
- SCOPUS
ESCI
- Journal Title
- International Journal of Analysis and Applications
- Volume
- 21
- ISSN
- 2291-8639
- 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 Et-set and Qt-set can be prominent GE-filters are explored. Finally, the extension property for the prominent fuzzy GE-filter is discussed.
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