A proposed matrix-based Pythagorean fuzzy set distance metric and its usage in disease diagnosis

Rongcheng Zhao

doi:10.1117/12.2681282

8 June 2023 A proposed matrix-based Pythagorean fuzzy set distance metric and its usage in disease diagnosis

Rongcheng Zhao

Proceedings Volume 12707, International Conference on Image, Signal Processing, and Pattern Recognition (ISPP 2023); 1270733 (2023) https://doi.org/10.1117/12.2681282
Event: International Conference on Image, Signal Processing, and Pattern Recognition (ISPP 2023), 2023, Changsha, China

Abstract

It is currently unclear how to calculate the distance between two Pythagorean fuzzy sets. Several techniques have been proposed. However, not all available approaches can accurately exhibit differences between Pythagorean fuzzy sets and fulfill the axiom of measurement characteristic. And some other methods ignore the relation between the three variables of the Pythagorean fuzzy set. A new direction of estimating distance is presented to address the issue. Then some numerical examples are provided to demonstrate that the way of measuring distances avoids producing counter-intuitive and irrational conclusions and is more effective and reasonable than other similar methods. Furthermore, the suggested method of measuring distances between PFSs is evaluated in a real-world application scenario and compared to earlier approaches to illustrate its superiority and efficiency. At the same time, the viability of the suggested method in dealing with uncertainties in practice is demonstrated.

Citation Download Citation

Rongcheng Zhao "A proposed matrix-based Pythagorean fuzzy set distance metric and its usage in disease diagnosis", Proc. SPIE 12707, International Conference on Image, Signal Processing, and Pattern Recognition (ISPP 2023), 1270733 (8 June 2023); https://doi.org/10.1117/12.2681282

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