Circular Pythagorean Fuzzy Choquet Integral Operators and Applications to Multi-criteria Decision Making

Circular Pythagorean fuzzy sets or values (C-PFSs or C-PFVs) emerge as an innovative extension encompassing both circular intuitionistic fuzzy sets and Pythagorean fuzzy sets. The circular structure enhances the modeling of uncertain information by utilizing points within a circle characterized by a specific center and radius. In real-life problems, most criteria have interactive properties, so the concepts of fuzzy measure ( \(\mathcal{F}\mathcal{M}\) ) and fuzzy integral, which are successful in modelling the relationship between criteria, can be used. In this study, we present some Circular Pythagorean Fuzzy Choquet Integral Operators (C-PFCIOs) by employing the Choquet integral, a form of fuzzy integration, to model the interaction among criteria. These C-PFCIOs also generalize some weighted arithmetic aggregation operators for C-PFSs from the literature. Furthermore, a score function is proposed to rank C-PFVs. Finally, a novel algorithm based on these C-PFCIOs and this score function is introduced to be applied to a multi-criteria decision making problem on solar panel selection.