Commutative Ideals of BCI-Algebras Using MBJ-Neutrosophic Structures

被引：1
|
作者：
Song, Seok-Zun [1 ]
Ozturk, Mehmet Ali [2 ]
Jun, Young-Bae [3 ]
机构：
[1] Jeju Natl Univ, Dept Math, Jeju 63243, South Korea
[2] Adiyaman Univ, Fac Arts & Sci, Dept Math, TR-02040 Adiyaman, Turkey
[3] Gyeongsang Natl Univ, Dept Math Educ, Jinju 52828, South Korea
来源：
MATHEMATICS | 2021年 / 9卷 / 17期
基金：
新加坡国家研究基金会;
关键词：
MBJ-neutrosophic set; MBJ-neutrosophic subalgebra; MBJ-neutrosophic ideal; commutative MBJ-neutrosophic ideal;
D O I：
10.3390/math9172047
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
As a generalization of a neutrosophic set, the notion of MBJ-neutrosophic sets is introduced by Mohseni Takallo, Borzooei and Jun, and it is applied to BCK/BCI-algebras. In this article, MBJ-neutrosophic set is used to study commutative ideal in BCI-algebras. The concept of closed MBJ-neutrosophic ideal and commutative MBJ-neutrosophic ideal is introduced and their properties and relationships are studied. The conditions for an MBJ-neutrosophic ideal to be a commutative MBJ-neutrosophic ideal are given. The conditions for an MBJ-neutrosophic ideal to be a closed MBJ-neutrosophic ideal are provided. Characterization of a commutative MBJ-neutrosophic ideal is established. Finally, the extension property for a commutative MBJ-neutrosophic ideal is founded.
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收藏
页数：13
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