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QUOTIENT STRUCTURES IN EQUALITY ALGEBRAS
- Borzooei, R.A.;
- Takallo, M. Mohseni;
- Kologani, M. Aaly;
- Jun, Y.B.
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1초록
The notion of fuzzy ideal in bounded equality algebras is defined, and several properties are studied. Fuzzy ideal generated by a fuzzy set is established, and a fuzzy ideal is made by using the collection of ideals. Characterizations of fuzzy ideal are discussed. Conditions for a fuzzy ideal to attains its infimum on all ideals are provided. Homomorphic image and preimage of fuzzy ideal are considered. Finally, quotient structures of equality algebra induced by (fuzzy) ideal are studied. © 2024, Shahrood University of Technology. All rights reserved.
키워드
Bounded equality algebra; Fuzzy ideal; Fuzzy sets; Ideal; Quotient structure
- 제목
- QUOTIENT STRUCTURES IN EQUALITY ALGEBRAS
- 저자
- Borzooei, R.A.; Takallo, M. Mohseni; Kologani, M. Aaly; Jun, Y.B.
- 발행일
- 2024-01
- 유형
- Article
- 저널명
- Journal of Algebraic Systems
- 권
- 11
- 호
- 2
- 페이지
- 65 ~ 82