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

Muhammad Saqlain; Muhammad Riaz; Natasha Kiran; Poom Kumam; Miin-Shen Yang

Authors

Muhammad Saqlain Center of Excellence in Theoretical and Computational Science (TaCS-CoE), Faculty of Science, King Mongkutâ€™s University of Technology Thonburi (KMUTT) Thailand.
Muhammad Riaz Department of Mathematics, University of the Punjab, Lahore, Pakistan
Natasha Kiran Department of Mathematics, Lahore Garrison University, Lahore, Pakistan
Poom Kumam Center of Excellence in Theoretical and Computational Science (TaCS-CoE), Faculty of Science, King Mongkutâ€™s University of Technology Thonburi (KMUTT) Thailand.
Miin-Shen Yang Department of Applied Mathematics, Chung Yuan Christian University, Chung-Li, Taoyuan 32023, Taiwan

Keywords:

Aggregation operators, Correlation Coefficient (CC); Multi-Criteria Decision-Making (MCDM); Neutrosophic Hypersoft Sets (NHSSs); Weighted Correlation Coefficients (WCC).

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.