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An Enhanced Fermatean Fuzzy Composition Relation Based on a Maximum‐Average Approach and Its Application in Diagnostic Analysis

Author

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  • P. A. Ejegwa
  • G. Muhiuddin
  • E. A. Algehyne
  • J. M. Agbetayo
  • D. Al-Kadi

Abstract

The idea of composition relations on Fermatean fuzzy sets based on the maximum‐extreme values approach has been investigated and applied in decision making problems. However, from the perspective of the measure of central tendency, this approach is not reliable because of the information loss occasioned by the use of extreme values. Based on this limitation, we introduce an enhanced Fermatean fuzzy composition relation with a better performance rating based on the maximum‐average approach. An easy‐to‐follow algorithm based on this approach is presented with numerical computations. An application of Fermatean fuzzy composition relations is discussed in diagnostic analysis where diseases and patients are mirrored as Fermatean fuzzy pairs characterized with some related symptoms. To ascertain the veracity of the novel Fermatean fuzzy composition relation, a comparative analysis is presented to showcase the edge of this novel Fermatean fuzzy composition relation over the existing Fermatean fuzzy composition relation.

Suggested Citation

  • P. A. Ejegwa & G. Muhiuddin & E. A. Algehyne & J. M. Agbetayo & D. Al-Kadi, 2022. "An Enhanced Fermatean Fuzzy Composition Relation Based on a Maximum‐Average Approach and Its Application in Diagnostic Analysis," Journal of Mathematics, John Wiley & Sons, vol. 2022(1).
    • Handle: RePEc:wly:jjmath:v:2022:y:2022:i:1:n:1786221
    DOI: 10.1155/2022/1786221
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    References listed on IDEAS

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    1. Gulfam Shahzadi & G. Muhiuddin & Muhammad Arif Butt & Ather Ashraf & Sami Ullah Khan, 2021. "Hamacher Interactive Hybrid Weighted Averaging Operators under Fermatean Fuzzy Numbers," Journal of Mathematics, Hindawi, vol. 2021, pages 1-17, March.
    2. Serhat Aydın, 2021. "A Fuzzy MCDM Method Based on New Fermatean Fuzzy Theories," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 20(03), pages 881-902, May.
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