Interactive decision making for fuzzy multiobjective 0-1 programs through genetic algorithms with double strings

Multiobjective 0-1 programming problems involving fuzzy numbers are formulated for reflecting the experts' vague or fuzzy understanding of the nature of the parameters in the problem-formulation process. Using the level sets of fuzzy numbers, the corresponding nonfuzzy programming problems together with an extended Pareto optimality concept are introduced. For deriving a satisficing solution for the decision-maker from an extended Pareto optimal solution set, an interactive decision-making method is presented along with an illustrative numerical example.