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Commutative ideals of BCI-algebras based on Łukasiewicz fuzzy sets
- Rezaei, G.R.;
- Jun, Y.B.
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4초록
With the aim of applying the Łukasiewicz fuzzy set to commutative ideal in BCI-algebras, the concept of Łukasiewicz fuzzy commutative ideal is introduced, and its properties are inves-tigated. The relationship between a Łukasiewicz fuzzy ideal and a Łukasiewicz fuzzy commutative ideal are discussed. Af-ter providing an example of a Łukasiewicz fuzzy ideal, not a Łukasiewicz fuzzy commutative ideal, conditions under which a Łukasiewicz fuzzy ideal can be a Łukasiewicz fuzzy commutative ideal are explored. Characterizations of Łukasiewicz fuzzy commutative ideals are displayed. Conditions under which ∈-set, q-set, and O-set can be commutative ideals are found. © 2022, University of Hatef. All rights reserved.
키워드
O-set; q-set; Łukasiewicz fuzzy (com-mutative) ideal; Łukasiewicz fuzzy set; Łukasiewicz fuzzy subalge-bra; ∈-set
- 제목
- Commutative ideals of BCI-algebras based on Łukasiewicz fuzzy sets
- 저자
- Rezaei, G.R.; Jun, Y.B.
- 발행일
- 2022-11
- 유형
- Article
- 저널명
- Journal of Algebraic Hyperstructures and Logical Algebras
- 권
- 3
- 호
- 4
- 페이지
- 25 ~ 36