The Prominentness of Fuzzy GE-Filters in GE-Algebras

Sun Shin Ahn; Rajab Ali Borzooei; Young Bae Jun

doi:10.28924/2291-8639-21-2023-26

The Prominentness of Fuzzy GE-Filters in GE-Algebras

Sun Shin Ahn
, Rajab Ali Borzooei
, Young Bae Jun

Department of Mathematics Education

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

Abstract

Based on the concept of fuzzy points, the notion of a prominent fuzzy GE-filter is defined, and the various properties involved are investigated. The relationship between a fuzzy GE-filter and a prominent fuzzy GE-filter is discussed, and the characterization of a prominent fuzzy GE-filter is considered. The conditions under which a fuzzy GE-filter can be a prominent fuzzy GE-filter are explored, and conditions for the trivial fuzzy GE-filter to be a prominent fuzzy GE-filter are provided. The conditions under which the ∈_t-set and Q_t-set can be prominent GE-filters are explored. Finally, the extension property for the prominent fuzzy GE-filter is discussed.

Original language	English
Article number	26
Journal	International Journal of Analysis and Applications
Volume	21
DOIs	https://doi.org/10.28924/2291-8639-21-2023-26
State	Published - 2023

Keywords

(prominent) fuzzy GE-filter
and phrases. (prominent) GE-filter
Q-set
trivial fuzzy GE-filter
∈-set

Access to Document

10.28924/2291-8639-21-2023-26

Cite this

@article{25f28e1d97014e7889f772d52b1eda09,

title = "The Prominentness of Fuzzy GE-Filters in GE-Algebras",

abstract = "Based on the concept of fuzzy points, the notion of a prominent fuzzy GE-filter is defined, and the various properties involved are investigated. The relationship between a fuzzy GE-filter and a prominent fuzzy GE-filter is discussed, and the characterization of a prominent fuzzy GE-filter is considered. The conditions under which a fuzzy GE-filter can be a prominent fuzzy GE-filter are explored, and conditions for the trivial fuzzy GE-filter to be a prominent fuzzy GE-filter are provided. The conditions under which the ∈t-set and Qt-set can be prominent GE-filters are explored. Finally, the extension property for the prominent fuzzy GE-filter is discussed.",

keywords = "(prominent) fuzzy GE-filter, and phrases. (prominent) GE-filter, Q-set, trivial fuzzy GE-filter, ∈-set",

author = "Ahn, \{Sun Shin\} and Borzooei, \{Rajab Ali\} and Jun, \{Young Bae\}",

note = "Publisher Copyright: {\textcopyright} 2023 the author(s).",

year = "2023",

doi = "10.28924/2291-8639-21-2023-26",

language = "English",

volume = "21",

journal = "International Journal of Analysis and Applications",

issn = "2291-8639",

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

}

TY - JOUR

T1 - The Prominentness of Fuzzy GE-Filters in GE-Algebras

AU - Ahn, Sun Shin

AU - Borzooei, Rajab Ali

AU - Jun, Young Bae

PY - 2023

Y1 - 2023

N2 - Based on the concept of fuzzy points, the notion of a prominent fuzzy GE-filter is defined, and the various properties involved are investigated. The relationship between a fuzzy GE-filter and a prominent fuzzy GE-filter is discussed, and the characterization of a prominent fuzzy GE-filter is considered. The conditions under which a fuzzy GE-filter can be a prominent fuzzy GE-filter are explored, and conditions for the trivial fuzzy GE-filter to be a prominent fuzzy GE-filter are provided. The conditions under which the ∈t-set and Qt-set can be prominent GE-filters are explored. Finally, the extension property for the prominent fuzzy GE-filter is discussed.

AB - Based on the concept of fuzzy points, the notion of a prominent fuzzy GE-filter is defined, and the various properties involved are investigated. The relationship between a fuzzy GE-filter and a prominent fuzzy GE-filter is discussed, and the characterization of a prominent fuzzy GE-filter is considered. The conditions under which a fuzzy GE-filter can be a prominent fuzzy GE-filter are explored, and conditions for the trivial fuzzy GE-filter to be a prominent fuzzy GE-filter are provided. The conditions under which the ∈t-set and Qt-set can be prominent GE-filters are explored. Finally, the extension property for the prominent fuzzy GE-filter is discussed.

KW - (prominent) fuzzy GE-filter

KW - and phrases. (prominent) GE-filter

KW - Q-set

KW - trivial fuzzy GE-filter

KW - ∈-set

UR - https://www.scopus.com/pages/publications/85151147530

U2 - 10.28924/2291-8639-21-2023-26

DO - 10.28924/2291-8639-21-2023-26

M3 - Article

AN - SCOPUS:85151147530

SN - 2291-8639

VL - 21

JO - International Journal of Analysis and Applications

JF - International Journal of Analysis and Applications

M1 - 26

ER -

The Prominentness of Fuzzy GE-Filters in GE-Algebras

Abstract

Keywords

Access to Document

Other files and links

Cite this