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

Author

Listed:
  • Paul Augustine Ejegwa

    (University of Agriculture)

  • Arun Sarkar

    (Heramba Chandra College)

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.

Suggested Citation

  • Paul Augustine Ejegwa & Arun Sarkar, 2023. "Novel Correlation Measure for Generalized Orthopair Fuzzy Sets and Its Decision-Making Applications," SN Operations Research Forum, Springer, vol. 4(2), pages 1-23, June.
    • Handle: RePEc:spr:snopef:v:4:y:2023:i:2:d:10.1007_s43069-023-00213-8
    DOI: 10.1007/s43069-023-00213-8
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    References listed on IDEAS

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    1. Peide Liu & Peng Wang, 2017. "Some Improved Linguistic Intuitionistic Fuzzy Aggregation Operators and Their Applications to Multiple-Attribute Decision Making," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 16(03), pages 817-850, May.
    2. Huma Bashir & Syed Inayatullah & Ahmed Alsanad & Rukhshanda Anjum & Mogeeb Mosleh & Pakeeza Ashraf & Naeem Jan, 2021. "Some Improved Correlation Coefficients for q-Rung Orthopair Fuzzy Sets and Their Applications in Cluster Analysis," Mathematical Problems in Engineering, Hindawi, vol. 2021, pages 1-11, June.
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