Fermatean Fuzzy Transportation Problems for Finding an Optimal Solution based on a Score function with Decision Making

A key domain of operational research is the transportation problem(TP), which is associate with moving items that are to start with various origins to their final purpose while keeping the overall transportation expenses to a low level. In this research, we provide a new technique for dealing with fermatean fuzzy transportation problems(FFTPs) based on the assumption that the decision-maker is unsure about the precise numerical values of transportation costs(TCs), demand and supply of commodities. Fermatean fuzzy numbers(FFNs) are used to illustrate the costs of commodities distribution, demand and transportation in the proposed strategy. To demonstrate the potential and efficacy of our study, numerical calculations were performed using our proposed technique and compared with other current methodologies.