1993 Volume 5 Issue 1 Pages 108-115
In this paper, decision making problems arising from optimal operation planning of an electric furnace for refining aluminium are formulated as multiobjective mixed integer programming problems by incorporating fuzzy theory together with multiple objectives rather than single objective. By considering the imprecise or fuzzy nature of human judgments, the fuzzy goals of the decision maker for each of the objective functions are also introduced. Then approximated solutions for the formulated problems are derived through the simulated annealing method for solving the general combinatorial optimization problems. In order to decrease the difficulties for the determination of appropriate parameter values in the simulated annealing method, an interactive parameter determination scheme as well as interactive decision making methods for solving the formulated problems are proposed. On the basis of the proposed methods, an interactive decision support system is developed on the workstation and the feasibility and efficiency of both the proposed methods and the corresponding decision support system are demonstrated via several numerical examples.
