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초록
The idea of ̷Lukasiewicz t-conorm is used to construct the concept of ̷Lukasiewicz anti fuzzy sets based on a given anti fuzzy set, and it is applied to BE-algebras. The notion of ̷Lukasiewicz anti fuzzy BE-ideal is introduced, and its properties are investigated. The conditions under which ̷Lukasiewicz anti fuzzy set will be ̷Lukasiewicz anti fuzzy BE-ideal are explored, and the relationship between anti fuzzy BE-ideal and ̷Lukasiewicz anti fuzzy BE-ideal are discussed. Three types of subsets so called ⋖-subset, Υ-subset, and anti subset are constructed, and the conditions under which they can be BE-ideals are explored. © 2022, Islamic Azad University. All rights reserved.
키워드
<-subset; Anti fuzzy BE-ideal; anti subset; Łukasiewicz anti fuzzy BE-ideal; Łukasiewicz anti fuzzy set; Υ-subset
- 제목
- ̷Lukasiewicz Anti Fuzzy Set and Its Application in BE-algebras
- 저자
- Jun, Young Bae
- 발행일
- 2022-11
- 유형
- Article
- 저널명
- Transactions on Fuzzy Sets and Systems
- 권
- 1
- 호
- 2
- 페이지
- 37 ~ 45
- 언어
- ENG
- 출판사
- Islamic Azad University
- 발행국가
- 이란
- 분량
- 9 페이지
- ISSN
- P 2821-0131