Interval Valued Bipolar Fuzzy Weighted Neutrosophic Sets and Their Application

TL;DR

This paper introduces the Interval Valued Bipolar Fuzzy Weighted Neutrosophic Set (IVBFWN-set), a new mathematical framework for handling uncertain information in decision making, along with operators and an algorithm demonstrating its practical application.

Contribution

It proposes the IVBFWN-set concept, defines its operations, and develops aggregation operators and a decision-making algorithm based on this new set.

Findings

The IVBFWN-set effectively models uncertain information.

The proposed decision-making algorithm demonstrates practical utility.

Real-world example validates the method's effectiveness.

Abstract

Interval valued bipolar fuzzy weighted neutrosophic set(IVBFWN-set) is a new generalization of fuzzy set, bipolar fuzzy set, neutrosophic set and bipolar neutrosophic set so that it can handle uncertain information more flexibly in the process of decision making. Therefore, in this paper, we propose concept of IVBFWN-set and its operations. Also we give the IVBFWN-set average operator and IVBFWN-set geometric operator to aggregate the IVBFWN-sets, which can be considered as the generalizations of some existing ones under fuzzy, neutrosophic environments and so on. Finally, a decision making algorithm under IVBFWN environment is given based on the given aggregation operators and a real example is used to demonstrate the effectiveness of the method.