Distance measures of Pythagorean Fuzzy Sets based on sine function in property selection under TOPSIS approach

Pythagorean Fuzzy Sets (PFSs) notion which is an extension of Intuitionistic Fuzzy Sets (IFSs), are proven to be highly effective due to its evident flexibility in dealing with an imprecise or uncertain environment. Distance measures between two PFSs are important because they have a range of applications in domains including multicriteria decision making, pattern recognition, and image segmentation. The objective of this study is to introduce trigonometric distance measures for PFSs. Axiomatic properties of distance measures have been proved. Numerical illustration has been offered to ensure the legitimacy and applicability of the proposed measures. The stability and distinctiveness of the proposed measures are applied in a real-life application through a multi-criteria decision-making approach (TOPSIS) which can be applied in diverse situations and simplify the process of decision making. Sensitive analysis has also been carried out to validate proposed measures.