Interactive method for multiobjective programming problems with fuzzy solution

In the past decade, a lot of formulations for fuzzy multiobjective programming problems have been proposed. Although most of them dealt with fuzziness of coefficients and aspiration levels, the solution was assumed as a crisp number. In this paper, the authors present a method for solving fuzzy multiobjective linear programming problems involving both fuzzy decision variables and fuzzy parameters. A fuzzy solution has been studied by some researchers. The merit of the fuzzy solution is that decision maker understands possibility of the solution visually without doing sensitivity analysis. However, proposed methods were assumed that the fuzzy solution was an isosceles triangular fuzzy number. They feel that is a shortcoming of these approaches. So the authors introduce a new approach by using decomposition theorem which needs no assumption of the fuzzy solution’s shape function. Furthermore, they propose an interactive method to find the satisfying solution of the decision maker. An illustrative numerical example is also demonstrated. [In Japanese.]