The Prominentness of Fuzzy GE-Filters in GE-Algebras

Sun Shin Ahn, Rajab Ali Borzooei, Young Bae Jun

Research output: Contribution to journalArticlepeer-review

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 languageEnglish
Article number26
JournalInternational Journal of Analysis and Applications
Volume21
DOIs
StatePublished - 2023

Keywords

  • (prominent) fuzzy GE-filter
  • and phrases. (prominent) GE-filter
  • Q-set
  • trivial fuzzy GE-filter
  • ∈-set

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