Quasi-subalgebras of Sheffer stroke BL-algebras associated with fuzzy points and a new type of fuzzy set

Citations

SCOPUS

2

초록

The Jun’s YJε-fuzzy set is applied to the Sheffer stroke BL-algebra, and the notions of an (∈, ∈)-YJε-fuzzy quasisubalgebra and an (∈, ∈ ∨q)-YJε-fuzzy quasi-subalgebra in Sheffer stroke BL-algebras are introduced, and several properties are explored. Characterizations of (∈, ∈)-YJεfuzzy quasi-subalgebras and (∈, ∈ ∨q)-YJε-fuzzy quasisubalgebras are investigated, and the relationships between the fuzzy quasi-subalgebra, the (∈, ∈)-YJε-fuzzy quasi-subalgebra and the (∈, ∈ ∨q)-YJε-fuzzy quasisubalgebra are considered. Conditions for a fuzzy set to be an (∈, ∈∨q)-YJε-fuzzy quasi-subalgebra are displayed. © 2024, University of Hatef. All rights reserved.

키워드

(∈,∈ ∨q)-YJ<sup>ε-fuzzy quasi</sup>subalgebra; (∈,∈)YJ<sup>ε-fuzzy quasi-subalgebra,</sup>; Quasi-subalgebra; Y-level set; Y<sub>q</sub>-set; Y<sub>∈∨q</sub>-set
제목
Quasi-subalgebras of Sheffer stroke BL-algebras associated with fuzzy points and a new type of fuzzy set
저자
Jun, Y.B.; Yang, E.; Roh, E.H.
DOI
10.61838/kman.jahla.5.2.3
발행일
2024-10
유형
Article
저널명
Journal of Algebraic Hyperstructures and Logical Algebras
권
5
호
2
페이지
19 ~ 32