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

Authors :
Manivannan Balamurugan
Nazek Alessa
Karuppusamy Loganathan
M. Sudheer Kumar
Source :
Mathematics, Vol 11, Iss 21, p 4471 (2023)
Publication Year :
2023
Publisher :
MDPI AG, 2023.

Abstract

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.

Details

Language :
English
ISSN :
22277390
Volume :
11
Issue :
21
Database :
Directory of Open Access Journals
Journal :
Mathematics
Publication Type :
Academic Journal
Accession number :
edsdoj.bde163c4a63e4abdb6e70c3011893f6f
Document Type :
article
Full Text :
https://doi.org/10.3390/math11214471