Abstract
Correlation coefficients are used to tackle many issues that include indistinct as well as blurred information excluding is not able to deal with the general fuzziness along with obscurity of the problems that have various information. The correlation coefficient (CC) between two variables plays an important role in statistics. Likewise, the accuracy of relevance assessment depends on the information in a set of discourses. The data collected for numerous statistical studies is full of exceptions. The concept of the neutrosophic hypersoft set (NHSS) is a parameterized family that deals with the subattributes of the parameters and is a proper extension of the neutrosophic soft set to accurately assess the deficiencies, anxiety, and uncertainty in decision-making. Compared with existing research, NHSS can accommodate more uncertainty, which is the most significant technique for describing fuzzy information in the decision-making process. The core objective of follow-up research is to develop the concept and characteristics of CC and the weighted correlation coefficient (WCC) of NHSS. We also introduced some aggregation operators in the considered environment, which can help us establish a prioritization technique for order preference by similarity to the ideal solution (TOPSIS) based on CC and WCC under NHSS. A decision-making strategy is established to solve multicriteria group decision-making (MCGDM) problems utilizing developed methodology. Moreover, the proposed method is utilized for the selection of an effective hand sanitizer during the COVID-19 pandemic to ensure the validity of the proposed approach. The practicality, effectivity, and flexibility of the current approach are proved through comparative analysis with the assistance of some existing studies.
Highlights
Correlation plays an essential role in statistics and engineering
To overcome the above limitations, we proposed some aggregation operators (AOs) for neutrosophic hypersoft set (NHSS) such as neutrosophic hypersoft weighted average and neutrosophic hypersoft weighted geometric operators. e core objective of the following scientific research is to develop novel AOs for the NHSS environment and processing mechanism, which can follow the assumptions of neutrosophic hypersoft number (NHSN)
Conclusion is study focuses on NHSS to solve the problem of insufficient data, ambiguity, and inconsistency by considering the degree of truthiness, falsity, and indeterminacy on the ntuple subattributes of the considered attributes. is research puts forward the new concepts and properties of CC and weighted correlation coefficient (WCC) in the NHSS environs
Summary
Correlation plays an essential role in statistics and engineering. Employing correlation analysis, the joint relationship of two variables can be employed to assess the interdependency. Riaz et al [30] prolonged the idea of PFSSs and developed the m polar PFSSs. ey established the TOPSIS method under-considered hybrid structure and proposed a DM methodology to solve the MCGDM problem. All the above studies only deal the insufficient data considering membership and nonmembership values; these theories cannot handle the overall incompatible as well as imprecise information To address such incompatible as well as imprecise records, the idea of the neutrosophic set (NS) was developed by Smarandache [34]. Ey established the TOPSIS technique using their developed correlation coefficient and utilized the presented approach for the selection of appropriate antivirus face masks. Zulqarnain et al [49] presented some novel operations for interval-valued Pythagorean fuzzy hypersoft sets and discussed their desirable properties.
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