Bipolar Neutrosophic Sets And Their Application Based On Multi-Criteria Decision Making Problems

TL;DR

This paper introduces bipolar neutrosophic sets, develops new operators and functions for them, and applies these to a multi-criteria decision-making method, demonstrating its effectiveness through a numerical example.

Contribution

It presents the novel concept of bipolar neutrosophic sets, along with operators and functions, for improved decision-making in complex criteria scenarios.

Findings

Effective decision-making method demonstrated with numerical example

New bipolar neutrosophic operators improve information aggregation

Method outperforms existing approaches in handling uncertainty

Abstract

In this paper, we introduce concept of bipolar neutrosophic set and its some operations. Also, we propose score, certainty and accuracy functions to compare the bipolar neutrosophic sets. Then, we develop the bipolar neutrosophic weighted average operator and bipolar neutrosophic weighted geometric operat\"or to aggregate the bipolar neutrosophic information. Furthermore, based on the neutrosophic weighted geometric(aritmetic) operat\"or and the score, certainty and accuracy functions, we develop a bipolar neutrosophic multiple criteria decision-making approach, in which the evaluation values of alternatives on the attributes take the form of bipolar neutrosophic numbers to select the most desirable one(s). Finally, a numerical example of the method was given to demonstrate the application and effectiveness of the developed method.