Some New Weighted Correlation Coefficients Between Pythagorean Fuzzy Sets and Their Applications

P. A. Ejegwa () and C. Jana ()
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P. A. Ejegwa: University of Agriculture, Department of Mathematics/Statistics/Computer Science
C. Jana: Vidyasagar University, Department of Applied Mathematics with Oceanology and Computer Programming

A chapter in Pythagorean Fuzzy Sets, 2021, pp 39-64 from Springer

Abstract: Abstract The concept of weights on elements of Pythagorean fuzzy sets (PFSs) was rarely considered in the computations of the correlation coefficient between Pythagorean fuzzy sets (WCCPFSs), which in so doing could lead to some avoidable errors. In this chapter, we propose some new methods of computing WCCPFSs with better performance index than the existing ones defined in the Pythagorean fuzzy domain. The main aim of this chapter is to provide improved methods of computing WCCPFSs for the enhancement of efficient applications in multi-criteria decision-making (MCDM). It is mathematically investigated that the new weighted correlation coefficient methods satisfy the conditions for correlation coefficient between Pythagorean fuzzy sets (CCPFSs). Some numerical illustrations are considered to validate the advantage of the new methods of computing WCCPFSs in terms of accuracy with respect to the existing ones. Finally, we demonstrate the applications of the new weighted correlation coefficients alongside the existing ones in MCDM problems to augment juxtaposition analysis.

Keywords: Correlation coefficient; Intuitionistic fuzzy set; Multi-criteria decision-making; Pythagorean fuzzy set; Weighted correlation coefficient (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-981-16-1989-2_2

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DOI: 10.1007/978-981-16-1989-2_2

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