Abstract
This paper studies the fixed charge transportation problem under uncertain environment, in which the capacities of sources, the direct costs, the fixed charges and the demands of destinations are not known with a precise manner. As a result, the transportation problem takes the form of fuzzy mixed-integer programming problem. In this paper, we propose a solution method based on the possibility approach. With this approach, the obtained transportation problem takes the form of a crisp mixed-integer linear programming problem and provides crisp values to different variables at different possibility levels. A numerical example with trapezoidal fuzzy parameters is given to demonstrate the effectiveness of the proposed method.