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.

引用

页数：18

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