抄録
In this paper, fuzzy programming approaches to multiobjective linear continuous optimal control problems are presented. For calculating approximate solutions of multiobjective linear continuous optimal control problems, we first discretize the time and formulate the corresponding approximate linear multiobjective programming problems. Then by considering the vague nature of human judgements, we assume that the decision maker may have fuzzy goals for the objective functions. Having elicited the corresponding linear membership functions through the interaction with the decision maker, if we adopt the fuzzy decision for combining them, it is shown that the formulated problems can be reduced to linear programming problems and the satisficing solution for the decision maker can be obtained through the simplex method of linear programming. A simple three-objective example is provided to indicate the efficiency of the proposed method.
