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

为了得到合理的和conventional解决方案的实际决策问题在复杂的和层次的人类组织，决策问题制定的数学规划问题，涉及模糊和随机可变系数。特别是在解决等级管理或公共组织中的决策冲突时，经常使用多层数学规划问题的公式化.在本研究中，我们处理了涉及随机性和模糊性的多层多目标规划问题，并提出了计算方法，以获得问题的相互合作的解决方案（满意解）。针对多层多目标规划中模糊决策协同的必要性，提出了多层线性和非线性规划的交互式模糊规划方法。本研究计划包括以下两部分：1.针对具有随机性和模糊性的多层规划问题，提出了交互式模糊规划方法.本文研究了具有随机性和模糊性的多目标规划问题的交互式模糊决策问题，并在2005-2007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 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.