Interactive decision making for large scale multiobjective multi-level systems in fuzzy and stochastic environments

为了对复杂的、层次分明的人类组织中的实际决策问题得到合理且令人信服的解，决策问题被描述为涉及模糊和/或随机变量系数的数学规划问题。尤其是在层次化的管理或公共组织中，为了解决决策中的冲突问题，经常采用多层数学规划问题的形式.在本研究中，我们研究了模糊和/或随机环境中的两层或多层多目标规划问题，并提出了获得问题的相互合作解(满意解)的计算方法.针对多层多目标规划中合作模糊决策的必要性，提出了在模糊和/或随机环境下求解多层线性和离散规划问题的交互式模糊规划方法。1.研究了模糊和/或随机环境下多层规划问题的交互式模糊规划问题。2.研究了模糊和/或随机环境下多目标规划问题的交互式模糊决策问题，在国内外相关期刊上发表了上述研究成果，并在2002-2004年的国际会议上发表了多篇论文。此外，我们还打算向国内和国际期刊投稿。

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/or 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 two-level or multi-level multiobjective programming problems in fuzzy and/or stochastic environments and propose computational methods for deriving mutual cooperative solutions (satisfactory solutions) to the problems. Considering the necessity for cooperative fuzzy decision making in the multi-level multiobjective programming, interactive fuzzy programming methods for multilevel linear and discrete programming problems are presented in fuzzy and/or stochastic environments. The research program consisted of the following two parts :1.We developed interactive fuzzy programming for multi-level programming problems in fuzzy and/or stochastic environments.2.We investigated interactive fuzzy decision making for multiobjective programming problems in fuzzy and/or stochastic environments..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 2002-2004. Moreover we intend to contribute some papers to domestic and international journals.