Interactive decision making for large scale multiobjective multi-level systems iinvolving randomness and fuzziness

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To derive rational and convincible solutions to practical decision making problems in complex and hierarchical human organizations, the decision making problems are formulated as mathematical programming problems involving fuzzy and random variable coefficients. Especially, for resolving conflict in decision making in hierarchical managerial or public organizations, formulation of multi-level mathematical programming problems has been often employed.In this research, we dealt with multi-level multiobjective programming problems involving randomness and fuzziness and propose computational methods for deriving mutual cooperative solutions (satisfactory solutions)to the problems. Considering the necessity for cooperative fuzzy decision making in multi-level multiobjective programming, interactive fuzzy programming methods for multilevel linear and nonlinear programming problems are presented. The research program consisted of the following two parts:1. We developed interactive fuzzy programming for multi-level programming problems involving randomness and fuzziness.2. We investigated interactive fuzzy decision making for multiobjective programming problems involving randomness and fuzziness.We have published the obtained results of the above research program in domestic and international journals of the related fields and have also presented several papers in international conferences in 2005-2007. Moreover we intend to contribute some papers to domestic and international journals.