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Evaluating performance of novel similarity measures of Pythagorean fuzzy sets and their applications in pattern recognition and medical diagnosis

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  • Hari Darshan Arora

    (Amity Institute of Applied Sciences, Amity University)

  • Anjali Naithani

    (Amity Institute of Applied Sciences, Amity University)

Abstract

Yager (2013 joint IFSA world congress and NAFIPS annual meeting (IFSA/NAFIPS), 10.1109/ifsa-nafips.2013.6608375, 2013) first proposed the notion of Pythagorean fuzzy sets (PFS), which provides a unique procedure to characterize vagueness and uncertainty with greater accuracy and precision than intuitionistic fuzzy sets (IFS). The notion was established mathematically to explain vagueness and ambiguity and to deliver a structured instrument for dealing with vagueness in real-world situations. In this paper, performance of similarity measures of PFS based on the secant function, considering participation grade, non- participation grade, and hesitancy have been established. Axioms related to similarity measures have also been proved for the proposed measures. These similarity measurements, as well as weighted similarity measures between PFS have then been used for the performance of recognition of patterns and medical analysis. Two case studies have been provided to highlight the utility of similarity measures. Finally, to determine the efficacy of the recommended measures, a comparative study is also conducted.

Suggested Citation

  • Hari Darshan Arora & Anjali Naithani, 2024. "Evaluating performance of novel similarity measures of Pythagorean fuzzy sets and their applications in pattern recognition and medical diagnosis," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 15(7), pages 3485-3494, July.
    • Handle: RePEc:spr:ijsaem:v:15:y:2024:i:7:d:10.1007_s13198-024-02355-2
    DOI: 10.1007/s13198-024-02355-2
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    1. Shouzhen Zeng & Jianping Chen & Xingsen Li, 2016. "A Hybrid Method for Pythagorean Fuzzy Multiple-Criteria Decision Making," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 15(02), pages 403-422, March.
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