An extended multi-objective transportation model based on Fermatean fuzzy sets

Fermatean fuzzy sets are a more efficient, flexible, and general model for dealing with uncertainty as compared to Pythagorean fuzzy sets. The multi-objective transportation problem in a Fermatean fuzzy setting is examined in this study. Due to the volatility of competitive marketplaces, transportation costs, supply and demand factors are not always reliable. These parameters are regarded as triangular Fermatean fuzzy numbers in this article. The multi-objective transportation problem is addressed using a novel compromise approach based on the ordering of these triangular Fermatean fuzzy numbers. Also, the proposed solution procedure is used to solve a real-world problem in order to show how useful it is. Lastly, the outcomes of the Fermatean fuzzy multi-objective transportation problem are used to illustrate the benefits of the proposed method over previous methods.