| Abstrakt: |
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. [ABSTRACT FROM AUTHOR] |
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