The goal of linear programming problems is to minimize costs or maximize profits, but in general, problems that are formulated in reality are multi-objective, and these goals are often measured at different scales and are incompatible with each other. In practice, the ideal solution to a multi-objective problem is impossible in most cases. When the goals of the problem are in conflict, such solutions cannot be achieved. For this purpose, instead of the ideal solution, the concept of the correct solution is introduced.In this paper, we introduce a method for solving fuzzy multi-objective transportation problems where the cost coefficients of the objective functions, suppliers and demands are expressed as fuzzy numbers. The fuzzy multi-objective transportation problem is transformed into multi-objective interval transportation problem by using α-cut set of a fuzzy number. The multi-objective interval transportation problem is converted into several single objective interval transportation problems and are solved by separation method. Then efficient solutions are obtained by interactive procedure. A numerical example is presented to illustrate the efficiency of the method.
