Novel Correlation Measure for Generalized Orthopair Fuzzy Sets and Its Decision-Making Applications

Paul Augustine Ejegwa () and Arun Sarkar
Additional contact information
Paul Augustine Ejegwa: University of Agriculture
Arun Sarkar: Heramba Chandra College

SN Operations Research Forum, 2023, vol. 4, issue 2, 1-23

Abstract: Abstract A generalized orthopair fuzzy set (GOFS), also known as a q-rung orthopair fuzzy set (q-ROFS), is a higher variant of ordinary fuzzy sets by relaxing restrictions on the degrees of membership and non-membership. In fact, GOFSs generalize intuitionistic fuzzy sets (IFSs), Pythagorean fuzzy sets (PFSs), and Fermatean fuzzy sets (FFSs) with an improved ability to tackle vagueness. On the other hand, correlation analysis measures the statistical relationships between two samples or variables. Certain approaches for measuring the correlation coefficient of GOFSs have been studied, however, with some setbacks. In this paper, we propose a new correlation coefficient that measures the interrelation between any two arbitrary GOFSs with a better rating. Some properties of the novel generalized orthopair correlation coefficient are presented to validate its appropriateness. In addition, the novel correlation coefficient is validated with some numerical examples and adjudged to outperform some existing approaches via comparative analysis. Finally, we discuss the applications of the novel approach in problems involving pattern recognition and medical diagnosis based on simulated data presented as generalized orthopair fuzzy values.

Keywords: Correlation measure; Generalized orthopair fuzzy set; Generalized orthopair fuzzy value; Pattern recognition; Disease diagnosis (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s43069-023-00213-8 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:snopef:v:4:y:2023:i:2:d:10.1007_s43069-023-00213-8

Ordering information: This journal article can be ordered from
https://www.springer.com/journal/43069

DOI: 10.1007/s43069-023-00213-8

Access Statistics for this article

SN Operations Research Forum is currently edited by Marco Lübbecke

More articles in SN Operations Research Forum from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().