A new approach to bipolar soft sets and its applications

TL;DR

This paper redefines bipolar soft sets and their operations to enhance their functionality, studies their properties, and introduces a decision-making method with practical applications in handling uncertainty.

Contribution

The paper presents a new, more functional definition of bipolar soft sets and their operations, along with a decision-making method and applications.

Findings

Redefined bipolar soft set concept and operations.

Analyzed basic properties of bipolar soft sets.

Developed a decision-making method using bipolar soft sets.

Abstract

Molodtsov \cite{molodtsov-1999} proposed the concept of soft set theory in 1999, which can be used as a mathematical tool for dealing with problems that contain uncertainty. Sabir and Naz \cite{shabir-2013} defined notion of bipolar soft set in 2013. In this paper, we redefine concept of bipolar soft set and bipolar soft set operations as more functional than former. Also we study on their basic properties and we present a decision making method with application.