Bipolar Fuzzy Set Theory Applied to the Certain Ideals in BCI-Algebras

被引：8
作者：
Abughazalah, N. [1 ]
Muhiuddin, G. [2 ]
Elnair, Mohamed E. A. [2 ,3 ]
Mahboob, A. [4 ]
机构：
[1] Princess Nourah Bint Abdulrahman Univ, Coll Sci, Dept Math Sci, POB 84428, Riyadh 11671, Saudi Arabia
[2] Univ Tabuk, Fac Sci, Dept Math, POB 741, Tabuk 71491, Saudi Arabia
[3] Gezira Univ, Dept Math & Phys, POB 20, Wad Madani 2667, Sudan
[4] Madanapalle Inst Technol & Sci, Dept Math, Madanapalle 517325, India
来源：
SYMMETRY-BASEL | 2022年 / 14卷 / 04期
关键词：
BCI-algebra; ideal; commutative ideal; closed ideal; bipolar fuzzy BCI-positive implicative ideal; bipolar fuzzy BCI-commutative ideal; bipolar fuzzy BCI-closed ideal; IMPLICATIVE IDEALS; H-IDEALS; SUBALGEBRAS; (ALPHA;
D O I：
10.3390/sym14040815
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：
The study of symmetry is one of the most important and beautiful themes uniting various areas of contemporary arithmetic. Algebraic structures are useful structures in pure mathematics for learning a geometrical object's symmetries. In this paper, we introduce new concepts in an algebraic structure called BCI-algebra, where we present the concepts of bipolar fuzzy (closed) BCI-positive implicative ideals and bipolar fuzzy (closed) BCI-commutative ideals of BCI-algebras. The relationship between bipolar fuzzy (closed) BCI-positive implicative ideals and bipolar fuzzy ideals is investigated, and various conditions are provided for a bipolar fuzzy ideal to be a bipolar fuzzy BCI-positive implicative ideal. Furthermore, conditions are presented for a bipolar fuzzy (closed) ideal to be a bipolar fuzzy BCI-commutative ideal.
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页数：14
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