Linear Diophantine Fuzzy Set Theory Applied to BCK/BCI-Algebras

被引：7

作者：

Muhiuddin, Ghulam ^{[1
]}

Al-Tahan, Madeline ^{[2
]}

Mahboob, Ahsan ^{[3
]}

Hoskova-Mayerova, Sarka ^{[4
]}

Al-Kaseasbeh, Saba ^{[5
]}

机构：

[1] Univ Tabuk, Dept Math, Fac Sci, POB 741, Tabuk 71491, Saudi Arabia

[2] Abu Dhabi Univ, Dept Math & Stat, POB 15551, Abu Dhabi 15551, U Arab Emirates

[3] Madanapalle Inst Technol & Sci, Dept Math, Madanapalle 517325, India

[4] Univ Def Brno, Dept Math & Phys, Kounicova 65, Brno 66210, Czech Republic

[5] Tafila Tech Univ, Dept Math, Tafila 66110, Jordan

来源：

MATHEMATICS | 2022年 / 10卷 / 12期

关键词：

BCI-algebra; BCK-algebra; linear Diophantine fuzzy set (LDFS); LDF-subalgebra; LDF-ideal; LDF-commutative ideal; IDEALS;

D O I：

10.3390/math10122138

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we apply the concept of linear Diophantine fuzzy sets in BCK/BCI-algebras. In this respect, the notions of linear Diophantine fuzzy subalgebras and linear Diophantine fuzzy (commutative) ideals are introduced and some vital properties are discussed. Additionally, characterizations of linear Diophantine fuzzy subalgebras and linear Diophantine fuzzy (commutative) ideals are considered. Moreover, the associated results for linear Diophantine fuzzy subalgebras, linear Diophantine fuzzy ideals and linear Diophantine fuzzy commutative ideals are obtained.

引用

页数：11

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