Abstract

By considering the imprecise or fuzzy nature of human judgments, two types of fuzziness of human judgments should be incorporated in multiobjective optimization problems. One is the experts’ ambiguous understanding of the nature of the parameters in the problem-formulation process, the other is the fuzzy goals of the decision maker (DM) for each of the objective functions. This paper overviews interactive computer packages, developed by the author’s group based on our proposed interactive fuzzy linear programming methods which deals with both fuzzy goals and fuzzy parameters, in order to facilitate the interaction processes for not only multiobjective linear programming problems but also multiobjective linear programming problems with fuzzy parameters. Moreover, for demonstrating the feasibility and efficiency of the proposed methods as well as the corresponding computer programs, interaction processes for several numerical examples for multiobjective linear programming problems both without and with fuzzy parameters are shown under the hypothetical DM.

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