Novel construction method for Pythagorean fuzzy similarity measures

Pythagorean fuzzy similarity measures being an extension of classical fuzzy similarity measures give a better assessment of the closeness of two uncertain feature spaces. In this paper, we introduce the notion of Pythagorean fuzzy equivalences and derive some mathematical results to facilitate the derivation of some novel methods of construction of similarity measures in the Pythagorean fuzzy framework. In fact, we utilize Pythagorean fuzzy equivalences and aggregation operators for the construction of a class of similarity measures. We established the accuracy and advantages of the proposed Pythagorean fuzzy similarity measures by considering several benchmark datasets in a numerical experiment.