Water Quality Evaluation Using Generalized Correlation Coefficient for M-Polar Neutrosophic Hypersoft Sets

Abstract

Decision-making is a complex issue, especially for attributes being more than one and further bifurcated. Correlation analysis plays an important role in decision-making problems. For neutrosophic hypersoft sets (NHSSs), they have bifurcated sub-attributes so that we cannot compare the attributive values. Thus, Correlation Coefficient (CC) should be a good tool for decision-making in NHSSs. Moreover, in decision-making problems, most of the times opinion of more than one expert is involved. For dealing this, m-polar values can be better used. The basic purpose of this paper is to propose the concept of CC and Weighted CC (WCC) for m-polar NHSSs with some aggregation operators, theorems, and propositions. Algorithms, based on CC and WCC are also been proposed to solve decision-making problems. Two case studies have been solved by applying the proposed algorithms. The results obtained are compared with existing approaches. The experiment and comparison results reveal the validity and superiority of the proposed methods. They are more accurate and precise. In the future, the proposed methods can be applied to case studies, in which attributes are more than one and further bifurcated along with more than one decision-maker. They can be extended for several existing approaches, like TOPSIS, VIKOR, AHP, and many others.

Keywords

• aggregation operators
• correlation coefficient
• multi-criteria decision-making
• neutrosophic hypersoft sets
• weighted correlation coefficients