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Ideals in BE-algebras based on Lukasiewicz fuzzy set
- Ahn, Sun Shin;
- Roh, Eun Hwan;
- Jun, Young Bae
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4초록
For the purpose of applying the concept of Lukasiewicz fuzzy set to ideals in BE-algebras, Lukasiewicz fuzzy ideal is introduced, and its properties are studied. The relationship between fuzzy ideal and Lukasiewicz fuzzy ideal is discussed. Conditions for the Lukasiewicz fuzzy set to be a Lukasiewicz fuzzy ideal are provided, and characterizations of Lukasiewicz fuzzy ideal are displayed. Conditions in which three subsets, called is an element of-set, q-set and O-set, are ideals are explored.
키워드
Fuzzy ideal; Lukasiewicz fuzzy ideal; is an element of-set; q-set; O-set
- 제목
- Ideals in BE-algebras based on Lukasiewicz fuzzy set
- 저자
- Ahn, Sun Shin; Roh, Eun Hwan; Jun, Young Bae
- 발행일
- 2022-07
- 유형
- Article
- 저널명
- European Journal of Pure and Applied Mathematics
- 권
- 15
- 호
- 3
- 페이지
- 1307 ~ 1320