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

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Jun Y.B.; Yang E.; Roh E.H.

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Journal Paper

Paper Information

Journal: JOURNAL OF ALGEBRAIC HYPERSTRUCTURES AND LOGICAL ALGEBRAS Year:2024 | Volume:5 | Issue:2 Page(s): 19-32

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Title

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

Author(s)

Jun Y.B. | Yang E. | Roh E.H. | Issue Writer Certificate

Keywords

Quasi-subalgebra

Y -level set

Yq-set

Y∈∨q-set

∈)- YεJ -fuzzy quasi-subalgebra

(∈

∈ ∨q)- YεJ -fuzzy quasisubalgebra

Abstract

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

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