Filters of Sheffer Stroke BL-Algebras Associated With a New Type of Fuzzy Set and Fuzzy Points

Sun Shin Ahn; Young Joo Seo; Young Bae Jun

doi:10.28924/2291-8639-23-2025-167

Filters of Sheffer Stroke BL-Algebras Associated With a New Type of Fuzzy Set and Fuzzy Points

Sun Shin Ahn
, Young Joo Seo
, Young Bae Jun

Department of Mathematics Education

Research output: Contribution to journal › Article › peer-review

Abstract

(Ultra) filters in Sheffer stroke BL-algebras based on the Jun’s J^δ_Y-fuzzy set are studied. The concept of (ultra) (∈, ∈)-J^δ_Y-fuzzy filters in Sheffer stroke BL-algebras is introduced, and various fundamental properties are investigated. Characterizations of (∈, ∈)-J^δ_Y-fuzzy filters are discussed, and the relationship between the fuzzy filter and the (∈,∈)-J^δ_Y^-fuzzy filter is considered.The conditions for the (∈, ∈)-J^δ_Y-fuzzy filter to become ultra are explored.

Original language	English
Article number	167
Journal	International Journal of Analysis and Applications
Volume	23
DOIs	https://doi.org/10.28924/2291-8639-23-2025-167
State	Published - 2025

Keywords

(ultra) (∈, ∈)-J-fuzzy filter
(ultra) filter
Y-set
Y-set

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10.28924/2291-8639-23-2025-167

Cite this

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title = "Filters of Sheffer Stroke BL-Algebras Associated With a New Type of Fuzzy Set and Fuzzy Points",

abstract = "(Ultra) filters in Sheffer stroke BL-algebras based on the Jun{\textquoteright}s JδY-fuzzy set are studied. The concept of (ultra) (∈, ∈)-JδY-fuzzy filters in Sheffer stroke BL-algebras is introduced, and various fundamental properties are investigated. Characterizations of (∈, ∈)-JδY-fuzzy filters are discussed, and the relationship between the fuzzy filter and the (∈,∈)-JδY-fuzzy filter is considered.The conditions for the (∈, ∈)-JδY-fuzzy filter to become ultra are explored.",

keywords = "(ultra) (∈, ∈)-J-fuzzy filter, (ultra) filter, Y-set, Y-set",

author = "Ahn, \{Sun Shin\} and Seo, \{Young Joo\} and Jun, \{Young Bae\}",

note = "Publisher Copyright: {\textcopyright} 2025 the author(s).",

year = "2025",

doi = "10.28924/2291-8639-23-2025-167",

language = "English",

volume = "23",

journal = "International Journal of Analysis and Applications",

issn = "2291-8639",

publisher = "Semnan University, Center of Excellence in Nonlinear Analysis and Applications",

}

TY - JOUR

T1 - Filters of Sheffer Stroke BL-Algebras Associated With a New Type of Fuzzy Set and Fuzzy Points

AU - Ahn, Sun Shin

AU - Seo, Young Joo

AU - Jun, Young Bae

PY - 2025

Y1 - 2025

N2 - (Ultra) filters in Sheffer stroke BL-algebras based on the Jun’s JδY-fuzzy set are studied. The concept of (ultra) (∈, ∈)-JδY-fuzzy filters in Sheffer stroke BL-algebras is introduced, and various fundamental properties are investigated. Characterizations of (∈, ∈)-JδY-fuzzy filters are discussed, and the relationship between the fuzzy filter and the (∈,∈)-JδY-fuzzy filter is considered.The conditions for the (∈, ∈)-JδY-fuzzy filter to become ultra are explored.

AB - (Ultra) filters in Sheffer stroke BL-algebras based on the Jun’s JδY-fuzzy set are studied. The concept of (ultra) (∈, ∈)-JδY-fuzzy filters in Sheffer stroke BL-algebras is introduced, and various fundamental properties are investigated. Characterizations of (∈, ∈)-JδY-fuzzy filters are discussed, and the relationship between the fuzzy filter and the (∈,∈)-JδY-fuzzy filter is considered.The conditions for the (∈, ∈)-JδY-fuzzy filter to become ultra are explored.

KW - (ultra) (∈, ∈)-J-fuzzy filter

KW - (ultra) filter

KW - Y-set

UR - https://www.scopus.com/pages/publications/105011484073

U2 - 10.28924/2291-8639-23-2025-167

DO - 10.28924/2291-8639-23-2025-167

M3 - Article

AN - SCOPUS:105011484073

SN - 2291-8639

VL - 23

JO - International Journal of Analysis and Applications

JF - International Journal of Analysis and Applications

M1 - 167

ER -

Filters of Sheffer Stroke BL-Algebras Associated With a New Type of Fuzzy Set and Fuzzy Points

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Keywords

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