Abstract
In the recent decade, a lot of formulations for fuzzy mathematical programming problems have been proposed. In order to deal with general cases, it is desirable to formulate problems, where the aspiration levels as well as the coefficients in the objective functions may be fuzzy. In this case, we suppose that an ill-defined problem ought have an ill-defined solution like a well-defined problem has a well-defined solution. So we proposed a method for solving fuzzy multi-goal linear programming problems involving both fuzzy decision variables and fuzzy parameters. The fuzzy solution is a fuzzy theorem's unique idea, and its merit is that decision maker understands possibility of the solution visually. Applying an interactive method to this approach is effective way of finding the satisfying solution of the decision maker. However proposed interactive methods need a considerable knowledge of mathematical programming, so it is difficult for decision maker to handle the methods. In this paper, we present a new interactive method using fuzzy reasoning. Finally, we apply this approach to the diet problem and an illustrative numerical example is also demonstrated.
