Multipolar Fuzzy p-Ideals of BCI-Algebras

被引：11
作者：
Takallo, Mohammad Mohseni [1 ]
Ahn, Sun Shin [2 ]
Borzooei, Rajab Ali [1 ]
Jun, Young Bae [1 ,3 ]
机构：
[1] Shahid Beheshti Univ, Dept Math, Tehran 1983963113, Iran
[2] Dongguk Univ, Dept Math Educ, Seoul 04620, South Korea
[3] Gyeongsang Natl Univ, Dept Math Educ, Jinju 52828, South Korea
来源：
MATHEMATICS | 2019年 / 7卷 / 11期
关键词：
(normal) m-polar (is an element of; is an element of)-fuzzy ideal; is an element of)-fuzzy p-ideal; SUBALGEBRAS;
D O I：
10.3390/math7111094
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The notion of (normal) m-polar (is an element of, is an element of)-fuzzy p-ideals of BCI-algebras is introduced, and several properties are investigated. Relations between an m-polar (is an element of, is an element of)-fuzzy ideal and an m-polar (is an element of, is an element of)-fuzzy p-ideal are displayed, and conditions for an m-polar (is an element of, is an element of)-fuzzy ideal to be an m-polar (is an element of, is an element of)-fuzzy p-ideal are provided. Characterization of m-polar (is an element of, is an element of)-fuzzy p-ideals are considered. Given an m-polar (is an element of, is an element of)-fuzzy ideal (resp., m-polar (is an element of, is an element of)-fuzzy p-ideal), a normal m-polar (is an element of, is an element of)-fuzzy ideal (resp., normal m-polar (is an element of, is an element of)-fuzzy p-ideal) is established. Using an m-polar (is an element of, is an element of)-fuzzy ideal, the quotient structure of BCI-algebras is constructed.
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页数：14
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