SOLVING THE MULTI-OBJECTIVE FRACTIONAL SOLID TRANSPORTATION PROBLEM BY USING DIFFERENT OPERATORS

This research delves into a complex problem known as the multi-objective fractional solid transportation problem (MFSTP), which deals with various fractional ratios such as cost/profit. The problem involves three main components: origin, destination, and product type or mode of transportation. While this research offers a solution to the MFSTP, it also examines the effects of different aggregation operators. In multi-objective problems, finding Pareto optimal solutions that consider the balance between objectives can be achieved through different methods. Utilizing aggregation operators, this study has found a variety of Pareto optimal solutions, expanding the decision-maker’s options. This means that it presents the decision-maker with a set of potential solutions. This allowed them to evaluate and select the operator that best suited the problem by comparing the various solutions obtained. To illustrate the solution methodology, a numerical example is provided and the obtained solutions are compared. © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2024.