Novel Pythagorean fuzzy correlation measures via Pythagorean fuzzy deviation, variance and covariance with applications to pattern recognition and career placement

Publisher:
Institute of Electrical and Electronics Engineers (IEEE)
Publication Type:
Journal Article
Citation:
IEEE Transactions on Fuzzy Systems, 2022, 30, (6), pp. 1660-1668
Issue Date:
2022-01-01
Full metadata record
Pythagorean fuzzy set (PFS) is an importance soft computing tool for curbing embedded vagueness in decision-making. To enhance the applicability of PFSs in modelling practical problems, many computing methods have been studied among which, correlation coefficient is vital. This paper proposes some novel methods of computing correlation between PFSs via the three characteristic parameters of PFSs by incorporating the ideas of Pythagorean fuzzy deviation, variance and covariance. These novel methods evaluate the magnitude of relationship, show the potency of correlation between the PFSs, and also indicate whether the PFSs are related in either positive or negative sense. The proposed techniques are substantiated with some theoretical results, and numerically validated to be superior in terms of accuracy and reliability in contrast to some hitherto similar techniques. Decision-making processes involving pattern recognition and career placement problems are determined with the aid of the proposed techniques.
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