Picture Logic Operators and Implications on Fermatean Picture Fuzzy Sets

Fermatean Picture Fuzzy sets (FPFS) represent an advanced extension of Picture Fuzzy sets and Pythagorean Picture Fuzzy sets, aimed at enhancing uncertainty modeling through the principles of Fermatean geometry. FPFS deliver heightened precision and adaptability rendering them highly applicable to complex decision-making, voting analysis and computational intelligence tasks. This work details the mathematical formulation of FPFS which explores their fundamental operations and demonstrates their practical relevance via numerical examples. The results highlight the efficacy of FPFS as a dynamic framework for resolving complex fuzzy logic challenges.