A new heuristic model for fuzzy transfer point location problem

Transfer point location problem in which demand points are weighted and their coordinates are uniformly distributed for the case of minimax objective and planar topology has been introduced recently. In the real problems, such as disaster cases, different points of an area might be demand locations with different possibility degrees. Thus, developing a more applicable model is critical for these problems. In this paper, a new transfer point location problem is proposed in which demands are weighted in fuzzy form and have possibilistic coordinates. To formulate the problem, a new possibilistic model is developed which leads to construct the general model based on experts' viewpoints. The proposed model is formulated as a fuzzy unconstrained nonlinear programming in which decision variables are obtained as fuzzy numbers. Subject to the complexity of the developed model, a new Fuzzy Logic Controller (FLC) is designed based on the derived fuzzy decision variables to infer the optimum or near optimum values for all decision variables. Finally, a numerical example is applied to demonstrate the efficiency and efficacy of the developed FLC.