Abstract
The correlation coefficient between two variables plays an important role in statistics. Also, the accuracy of relevance assessment depends on information from a set of discourses. The data collected from numerous statistical studies are full of exceptions. The Pythagorean fuzzy hypersoft set (PFHSS) is a parameterized family that deals with the subattributes of the parameters and an appropriate extension of the Pythagorean fuzzy soft set. It is also the generalization of the intuitionistic fuzzy hypersoft set (IFHSS), which is used to accurately assess insufficiency, anxiety, and uncertainties in decision-making. The PFHSS can accommodate more uncertainties compared to the IFHSS, and it is the most substantial methodology to describe fuzzy information in the decision-making process. The core objective of the this study is to develop the notion and features of the correlation coefficient and the weighted correlation coefficient for PFHSS and to introduce the aggregation operators such as Pythagorean fuzzy hypersoft weighted average (PFHSWA) and Pythagorean fuzzy hypersoft weighted geometric (PFHSWG) operators under the PFHSS scenario. A prioritization technique for order preference by similarity to the ideal solution (TOPSIS) under PFHSS based on correlation coefficients and weighted correlation coefficients is presented. Through the developed methodology, a technique for solving multiattribute group decision-making (MAGDM) problem is planned. Also, the importance of the developed methodology and its application in indicating multipurpose antivirus mask throughout the COVID-19 pandemic period is presented. A brief comparative analysis is described with the advantages, effectiveness, and flexibility of numerous existing studies that demonstrate the effectiveness of the proposed method.
Highlights
Decision-making (DM) is one of the most interesting issues these days to choose an appropriate alternative for any particular purpose
To show the importance as well as the usefulness of the proposed model based on the Pythagorean fuzzy hypersoft set (PFHSS) data, we investigated the numerical example of choosing an antivirus mask in the global serious situation of the COVID-19 disease
We developed the CC and WCC for PFHSS and demonstrated their desirable characteristics
Summary
Decision-making (DM) is one of the most interesting issues these days to choose an appropriate alternative for any particular purpose. E idea of entropy measure and TOPSIS based on correlation coefficient (CC) has been developed by using complex qrung orthopair fuzzy information and used the established strategies for decision-making [25]. To measure the relationship among dual hesitant fuzzy soft set, Arora and Garg [27] introduced the CC and developed a decision-making approach under the presented environment to solve the MCDM approach, and they used the proposed methodology for decisionmaking, medical diagnoses, and pattern recognition. In order to solve the MAGDM problem based on the extended TOPSIS method, an algorithm was developed, and the effectiveness of the proposed technique was verified by a numerical example.
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