Fermatean Fuzzy CODAS Approach with Topology and Its Application to Sustainable Supplier Selection

A Fermatean fuzzy set (FFS) is a reliable method for representing uncertainty in “multi-criteria decision-making” (MCDM). This research seeks to examine the topological properties of FFSs and establish notion “Fermatean topology” (FFT). An FFT generalisation existing topologies. Several aspects are examined various novel concepts proposed, which include ?-continuity between FFTSs connectedness. To deal multiple challenges sustainable supply chain management, “combinative distance-based assessment” (CODAS) was developed. The proposed FF CODAS technique involves key features MCDM. Firstly, known reputation vector or equal expert weights determined based on reputation, experience qualifications experts. Secondly, direct rating approach used relative relevance criteria group’s evaluation preferences. Thirdly, construct alternative orderings their assessment scores. Finally, an application developed show benefit suggested supplier selection approach. Additionally, symmetry optimal decision carried out by comparison analysis models with some models.