Complex T-spherical Fuzzy Frank Aggregation Operators and their Application to Decision making

Complex fuzzy (CF) sets (CFSs) play an important role in modeling two-dimensional information challenges. Researchers exploring decision-making systems have recently become interested CFS extensions. The complex T-spherical (CT-SF) set (CT-SFS) is a recent extension of the CFSs. present study aims to devise Frank operational laws for CT-SF environment and verify their required properties. Subsequently, some aggregation operators are explored, such as weighted averaging (CT-SFFWA) operator, geometric (CT-SFFWG) ordered (CT-SFFOWA) (CT-SFFOWG) hybrid (CT-SFFHA) (CT-SFFHG) peculiar cases examined. Based on devised operators, novel multi-criteria group (MCGDM) methodology investigated tackle MCGDM problems under environment. Lastly, practicality effectiveness presented conducted by parameter analysis comparative exploration.