m-polar fuzzy q-ideals in BCI-algebras

被引：14
|
作者：
Muhiuddin, G. [1 ]
Takallo, M. Mohseni [2 ]
Borzooei, R. A. [2 ]
Jun, Y. B. [2 ,3 ]
机构：
[1] Univ Tabuk, Dept Math, Tabuk 71491, Saudi Arabia
[2] Shahid Beheshti Univ, Dept Math, Tehran 1983963113, Iran
[3] Gyeongsang Natl Univ, Dept Math Educ, Jinju 52828, South Korea
来源：
JOURNAL OF KING SAUD UNIVERSITY SCIENCE | 2020年 / 32卷 / 06期
关键词：
m-polar fuzzy subalgebra; m-polar fuzzy ideal; m-polar (is an element of is an element of)-fuzzy q-ideal; DECISION-MAKING; SUBALGEBRAS; REPRESENTATION;
D O I：
10.1016/j.jksus.2020.07.001
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In a BCI-algebra, the notion of m-polar (is an element of, is an element of)-fuzzy q-ideal is introduced, and its properties are investigated. Relations between m-polar (is an element of, is an element of)-fuzzy q-ideal and m-polar fuzzy ideal/subalgebra are discussed. Characterizations of m-polar (is an element of, is an element of)-fuzzy q-ideal are considered. The extension property about the m-polar (is an element of, is an element of)-fuzzy q-ideal is established. Homomorphic image and preimage of m-polar (is an element of, is an element of)-fuzzy qideal are discussed. Characterizations of a quasi-associative BCI-algebras are provided by using m-polar (is an element of, is an element of)-fuzzy q-ideal. (C) 2020 The Authors. Published by Elsevier B.V. on behalf of King Saud University.
引用
收藏
页码：2803 / 2809
页数：7
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