Bipolar Fuzzy Soft sets and its applications in decision making problem

TL;DR

This paper introduces bipolar fuzzy soft sets, explores their properties and operations, and applies them to decision making, providing a new approach for handling uncertainty in complex problems.

Contribution

It presents the novel concept of bipolar fuzzy soft sets, detailing their properties, operations, and a decision-making algorithm, advancing fuzzy set theory applications.

Findings

Defined bipolar fuzzy soft sets and their properties

Developed algorithms for decision making using bipolar fuzzy soft sets

Demonstrated effectiveness in decision making problems

Abstract

In this article, we combine the concept of a bipolar fuzzy set and a soft set. We introduce the notion of bipolar fuzzy soft set and study fundamental properties. We study basic operations on bipolar fuzzy soft set. We define exdended union, intersection of two bipolar fuzzy soft set. We also give an application of bipolar fuzzy soft set into decision making problem. We give a general algorithm to solve decision making problems by using bipolar fuzzy soft set.