Bipolar Intuitionistic Fuzzy Soft Ideals of BCK/BCI-Algebras and Its Applications in Decision-Making

被引：2
|
作者：
Balamurugan, Manivannan [1 ]
Alessa, Nazek [2 ]
Loganathan, Karuppusamy [3 ]
Kumar, M. Sudheer [4 ]
机构：
[1] Vel Tech Rangarajan Dr Sagunthala R&D Inst Sci & T, Sch Sci & Humanities, Dept Math, Chennai 600062, Tamil Nadu, India
[2] Princess Nourah Bint Abdulrahman Univ, Coll Sci, Dept Math Sci, POB 84428, Riyadh 11671, Saudi Arabia
[3] Manipal Univ Jaipur, Dept Math & Stat, Jaipur 303007, Rajasthan, India
[4] MLR Inst Technol, Dept Sci & Humanities, Hyderabad 500043, Telangana, India
来源：
MATHEMATICS | 2023年 / 11卷 / 21期
关键词：
BCK-algebras; soft set; bipolar intuitionistic fuzzy soft set; bipolar intuitionistic fuzzy soft ideal; SUBALGEBRAS; SETS;
D O I：
10.3390/math11214471
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we merge the concepts of soft set theory and a bipolar intuitionistic fuzzy set. A bipolar intuitionistic fuzzy soft ideal in a BCK-algebra is defined as a soft set over the set of elements in the BCK-algebra, with each element associated with an intuitionistic fuzzy set. This relationship captures degrees of uncertainty, hesitancy, and non-membership degrees within the context of BCK-algebras. We investigate basic operations on bipolar intuitionistic fuzzy soft ideals such as union, intersection, AND, and OR. The intersection, union, AND, and OR of two bipolar intuitionistic fuzzy soft ideals is a bipolar intuitionistic fuzzy soft ideal. We also demonstrate how to use a bipolar intuitionistic fuzzy soft set to solve a problem involving decision making. Finally, we provide a general approach for handling decision-making problems using a bipolar intuitionistic fuzzy soft set.
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收藏
页数：18
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