FUZZY GE-FILTERS OF GE-ALGEBRAS
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초록

In this paper, notions of ϵt-set and Qt-set of a fuzzy set f in a GE-algebra X are introduced and defined fuzzy GE-algebra in terms of ϵt-set. We provided conditions for the ϵt-set and Qt-set of a fuzzy set f to be GE-subalgebras of X. We provided conditions for a fuzzy set in a GE-algebra to be a fuzzy GE-algebra. The concept of fuzzy GE-filter of a GE-algebra is introduced and investigated its properties. We explored the conditions under which the ϵt-set and Qt-set can be GE-filters. Some characterizations of fuzzy GE-filters of GE-algebras are given. © 2025, University of Guilan. All rights reserved.

키워드

fuzzy GE-algebrafuzzy GE-filterQ<sub>t</sub>-setϵ<sub>t</sub>-set
제목
FUZZY GE-FILTERS OF GE-ALGEBRAS
저자
Bandaru, RavikumarAlemayehu, Teferi GetachewJun, Young Bae
DOI
10.22124/jart.2024.23242.1459
발행일
2025-01
유형
Article
저널명
Journal of Algebra and Related Topics
12
2
페이지
1 ~ 15