Ideals in BE-algebras based on Lukasiewicz fuzzy set

Sun Shin Ahn; Eun Hwan Roh; Young Bae Jun

doi:10.29020/nybg.ejpam.v15i3.4467

Ideals in BE-algebras based on Lukasiewicz fuzzy set

Sun Shin Ahn, Eun Hwan Roh, Young Bae Jun

Department of Mathematics Education

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

2 Scopus citations

Abstract

For the purpose of applying the concept of Lukasiewicz fuzzy set to ideals in BE-algebras, Lukasiewicz fuzzy ideal is introduced, and its properties are studied. The relationship between fuzzy ideal and Lukasiewicz fuzzy ideal is discussed. Conditions for the Lukasiewicz fuzzy set to be a Lukasiewicz fuzzy ideal are provided, and characterizations of Lukasiewicz fuzzy ideal are displayed. Conditions in which three subsets, called ∈-set, q-set and O-set, are ideals are explored.

Original language	English
Pages (from-to)	1307-1320
Number of pages	14
Journal	European Journal of Pure and Applied Mathematics
Volume	15
Issue number	3
DOIs	https://doi.org/10.29020/nybg.ejpam.v15i3.4467
State	Published - Jul 2022

Keywords

Fuzzy ideal
Lukasiewicz fuzzy ideal
O-set
q-set
∈-set

Access to Document

10.29020/nybg.ejpam.v15i3.4467

Cite this

@article{4ac4edb2a08642dc9881fe14dfda1b37,

title = "Ideals in BE-algebras based on Lukasiewicz fuzzy set",

abstract = "For the purpose of applying the concept of Lukasiewicz fuzzy set to ideals in BE-algebras, Lukasiewicz fuzzy ideal is introduced, and its properties are studied. The relationship between fuzzy ideal and Lukasiewicz fuzzy ideal is discussed. Conditions for the Lukasiewicz fuzzy set to be a Lukasiewicz fuzzy ideal are provided, and characterizations of Lukasiewicz fuzzy ideal are displayed. Conditions in which three subsets, called ∈-set, q-set and O-set, are ideals are explored.",

keywords = "Fuzzy ideal, Lukasiewicz fuzzy ideal, O-set, q-set, ∈-set",

author = "Ahn, {Sun Shin} and Roh, {Eun Hwan} and Jun, {Young Bae}",

year = "2022",

month = jul,

doi = "10.29020/nybg.ejpam.v15i3.4467",

language = "English",

volume = "15",

pages = "1307--1320",

journal = "European Journal of Pure and Applied Mathematics",

issn = "1307-5543",

publisher = "New York Business Global",

number = "3",

}

TY - JOUR

T1 - Ideals in BE-algebras based on Lukasiewicz fuzzy set

AU - Ahn, Sun Shin

AU - Roh, Eun Hwan

AU - Jun, Young Bae

PY - 2022/7

Y1 - 2022/7

N2 - For the purpose of applying the concept of Lukasiewicz fuzzy set to ideals in BE-algebras, Lukasiewicz fuzzy ideal is introduced, and its properties are studied. The relationship between fuzzy ideal and Lukasiewicz fuzzy ideal is discussed. Conditions for the Lukasiewicz fuzzy set to be a Lukasiewicz fuzzy ideal are provided, and characterizations of Lukasiewicz fuzzy ideal are displayed. Conditions in which three subsets, called ∈-set, q-set and O-set, are ideals are explored.

AB - For the purpose of applying the concept of Lukasiewicz fuzzy set to ideals in BE-algebras, Lukasiewicz fuzzy ideal is introduced, and its properties are studied. The relationship between fuzzy ideal and Lukasiewicz fuzzy ideal is discussed. Conditions for the Lukasiewicz fuzzy set to be a Lukasiewicz fuzzy ideal are provided, and characterizations of Lukasiewicz fuzzy ideal are displayed. Conditions in which three subsets, called ∈-set, q-set and O-set, are ideals are explored.

KW - Fuzzy ideal

KW - Lukasiewicz fuzzy ideal

KW - O-set

KW - q-set

KW - ∈-set

UR - http://www.scopus.com/inward/record.url?scp=85135958556&partnerID=8YFLogxK

U2 - 10.29020/nybg.ejpam.v15i3.4467

DO - 10.29020/nybg.ejpam.v15i3.4467

M3 - Article

AN - SCOPUS:85135958556

SN - 1307-5543

VL - 15

SP - 1307

EP - 1320

JO - European Journal of Pure and Applied Mathematics

JF - European Journal of Pure and Applied Mathematics

IS - 3

ER -

Ideals in BE-algebras based on Lukasiewicz fuzzy set

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this