International Journal of Analysis and Applications ISSN 2291-8639 (Online)

Research Article

The Prominentness of Fuzzy GE-Filters in GE-Algebras

  • Sun Shin Ahn1*
  • Rajab Ali Borzooei
  • Young Bae Jun
  1. a:1:{s:5:"en_US";s:18:"Dongguk University";}

* Corresponding author

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.

How to Cite

S. S. Ahn, R. A. Borzooei, Y. B. Jun, The Prominentness of Fuzzy GE-Filters in GE-Algebras, Int. J. Anal. Appl. 21 (2023), 26. https://doi.org/10.28924/2291-8639-21-2023-26

BibTeX
@article{Ahn2023,
  author  = {Ahn, Sun Shin and Borzooei, Rajab Ali and Jun, Young Bae},
  title   = {The Prominentness of Fuzzy GE-Filters in GE-Algebras},
  journal = {Int. J. Anal. Appl.},
  volume  = {21},
  year    = {2023},
  pages   = {26},
  doi     = {10.28924/2291-8639-21-2023-26}
}

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