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Quasi-subalgebras of Sheffer stroke BL-algebras associated with fuzzy points and a new type of fuzzy set
- Issue Date
- Oct-2024
- Publisher
- University of Hatef
- Keywords
- (∈,∈ ∨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
- Citation
- Journal of Algebraic Hyperstructures and Logical Algebras, v.5, no.2, pp 19 - 32
- Pages
- 14
- Indexed
- SCOPUS
- Journal Title
- Journal of Algebraic Hyperstructures and Logical Algebras
- Volume
- 5
- Number
- 2
- Start Page
- 19
- End Page
- 32
- ISSN
- 2676-6019
- Abstract
- 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.
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