A Fermatean Fuzzy Approach to Transport Logistics Using Effective Ranking Function

Fermatean fuzzy set, a significant extension of intuitionistic fuzzy set, offers enhanced flexibility to address imprecise information than intuitionistic fuzzy set. In this study, the parameters of the transportation problem are considered as Fermatean fuzzy numbers and aim to develop a solution framework based on this advanced fuzzy set theory. In order to do this, first a ranking function for Fermatean fuzzy number is proposed based on the concept of information reliability. Second, three types of transportation problems are considered in which the parameters are Fermatean fuzzy numbers. Moreover, the parameters of the transportation problem are converted into their equivalent crisp values using the proposed ranking function and then solved by the standard algorithmic approaches using LINGO software. Finally, the significant of the proposed ranking function is discussed and validated through the results of the provided numerical examples.