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6초록
Łukasiewicz fuzzy set is applied to positive implicative filter of BE-algebra. The notion of positive implicative Łukasiewicz fuzzy BE-filters is introduced, and its properties are investigated. The relationship between fuzzy positive implicative BE-filter and positive implicative Łukasiewicz fuzzy BEfilter is discussed, and conditions under which Łukasiewicz fuzzy BE-filter can be positive implicative Łukasiewicz fuzzy BE-filter are explored. Characterizations of positive implicative Łukasiewicz fuzzy BE-filter are provided. Conditions for Łukasiewicz fuzzy set to be positive implicative Łukasiewicz fuzzy BE-filter are considered. Conditions are found where ϵ-set, q-set, and O-set of the Łukasiewicz fuzzy set can be positive implicative BE-filter. © 2023, University of Hatef. All rights reserved.
키워드
- 제목
- Positive implicative BE-filters of BE-algebras based on Łukasiewicz fuzzy sets
- 저자
- Jun, Y.B.
- 발행일
- 2023-05
- 유형
- Article
- 저널명
- Journal of Algebraic Hyperstructures and Logical Algebras
- 권
- 4
- 호
- 1
- 페이지
- 1 ~ 11