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

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

doi:10.61838/kman.jahla.5.2.3

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

Y. B. Jun^*
, E. Yang
, E. H. Roh

^*Corresponding author for this work

Department of Philosophy

Gyeongsang National University
Chinju National University of Education

Research output: Contribution to journal › Journal article › peer-review

2 Scopus citations

Abstract

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

Original language	English
Pages (from-to)	19-32
Number of pages	14
Journal	Journal of Algebraic Hyperstructures and Logical Algebras
Volume	5
Issue number	2
DOIs	https://doi.org/10.61838/kman.jahla.5.2.3
State	Published - 2024.10

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 3 Good Health and Well-being

Keywords

(∈,∈ ∨q)-YJsubalgebra
(∈,∈)YJ
Quasi-subalgebra
Y-level set
Y-set
Y-set

Quacquarelli Symonds(QS) Subject Topics

Mathematics

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10.61838/kman.jahla.5.2.3

Cite this

@article{55d3c5e1902544e0ab1b78fca1cc5135,

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

abstract = "The Jun{\textquoteright}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.",

keywords = "(∈,∈ ∨q)-YJsubalgebra, (∈,∈)YJ, Quasi-subalgebra, Y-level set, Y-set, Y-set",

author = "Jun, \{Y. B.\} and E. Yang and Roh, \{E. H.\}",

year = "2024",

month = oct,

doi = "10.61838/kman.jahla.5.2.3",

language = "English",

volume = "5",

pages = "19--32",

journal = "Journal of Algebraic Hyperstructures and Logical Algebras",

issn = "2676-6019",

number = "2",

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TY - JOUR

T1 - Quasi-subalgebras of Sheffer stroke BL-algebras associated with fuzzy points and a new type of fuzzy set

AU - Jun, Y. B.

AU - Yang, E.

AU - Roh, E. H.

PY - 2024/10

Y1 - 2024/10

N2 - 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.

AB - 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.

KW - (∈,∈ ∨q)-YJsubalgebra

KW - (∈,∈)YJ

KW - Quasi-subalgebra

KW - Y-level set

KW - Y-set

UR - https://www.scopus.com/pages/publications/86000057592

U2 - 10.61838/kman.jahla.5.2.3

DO - 10.61838/kman.jahla.5.2.3

M3 - Journal article

AN - SCOPUS:86000057592

SN - 2676-6019

VL - 5

SP - 19

EP - 32

JO - Journal of Algebraic Hyperstructures and Logical Algebras

JF - Journal of Algebraic Hyperstructures and Logical Algebras

IS - 2

ER -

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

Abstract

UN SDGs

Keywords

Quacquarelli Symonds(QS) Subject Topics

Access to Document

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