A Decision-Making Approach Based on Correlation Coefficient For Generalized multi-Polar Neutrosophic Soft Set

Abstract

The paper proposes the generalized version of the multipolar neutrosophic soft set. The neutrosophic soft set (NSS) is an advanced extension of the neutrosophic set, which accommodates the alternatives' parametrized values. This paper extends the NSS to generalized multipolar NSS and introduces some fundamental operations for generalized multipolar NSS with their necessary properties. We define the correlation coefficient (CC) and weighted correlation coefficient (WCC) for the generalized multi-polar neutrosophic soft set. Several desirable properties for CC and WCC and their relationship are derived. Finally, based on established correlation measures, a decisionmaking algorithm under the neutrosophic environment is stated to tackle uncertain and vague
information. The applicability of the proposed algorithm is demonstrated through a case study of the decision-making problem. A comparative analysis with several existing studies reveals the effectiveness of the approach.