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Strong fuzzy GE-filters and fuzzy GE-ideals of bordered GE-algebras
- Alemayehu, Teferi Getachew;
- Eshetie, Workaferahu Solomon;
- Bandaru, Ravikumar;
- Jun, Young Bae
Citations
SCOPUS
1초록
The notion of strong fuzzy generalized exchange (GE)-filters and fuzzy GE-ideals of bordered GE-algebras is studied, and their related properties are investigated. We proved that the intersection of strong fuzzy GE-filters (fuzzy GE-ideals) is a strong fuzzy GE-filter (fuzzy GE-ideal). We studied the conditions for a fuzzy subset of a bordered GE-algebra to be a strong fuzzy GE-filter and the characterization of a strong fuzzy GE-filter. We studied that under some conditions, any fuzzy subset of a bordered GE-algebra can be a fuzzy GE-ideal. A given fuzzy GE-ideal and an element in a bordered fuzzy GE-algebra is established. © 2023 the author(s), published by De Gruyter.
키워드
bordered GE-algebras; fuzzy GE-filters; fuzzy GE-ideals; GE-algebras
- 제목
- Strong fuzzy GE-filters and fuzzy GE-ideals of bordered GE-algebras
- 저자
- Alemayehu, Teferi Getachew; Eshetie, Workaferahu Solomon; Bandaru, Ravikumar; Jun, Young Bae
- 발행일
- 2023-01
- 유형
- Article
- 저널명
- Topological Algebra and its Applications
- 권
- 11
- 호
- 1
- 언어
- ENG
- 출판사
- Walter de Gruyter GmbH
- 발행국가
- 폴란드
- ISSN
- P 2299-3231