Abstract
The multi-objective Solid Transportation Problem (MSTP) is type of vector minimization (or maximization) problem with three parameters: source, destination, and mode of transport. It may have fractional objective functions in real-life applications to maximize the profitability ratio like profit/cost or profit/time. We refer to such transportation problems as the Multi-objective Fractional Solid Transportation Problem (MFSTP). In this article is presented a fuzzy approach that combines the usage of linear programming and the golden section algorithm with linear and exponential membership functions and a strongly efficient solution is obtained. Finally, a numerical example from the literature is solved to show the solution algorithm and a comparison is presented with the solution found by using a linear membership function.