Interactive decision making for large scale multiobjective multi-level systems in a fuzzy environment

为了对复杂的、分层的人类组织中的实际决策问题得出合理的、令人信服的解决方案，将决策问题公式化为数学规划问题，并利用与公式化的数学规划问题形式相对应的优化技术来解决这些问题。特别是，为了解决层级管理或公共组织中的决策冲突，经常采用多级数学规划问题的表述。在本研究中，我们处理了模糊和/或多目标环境中的两级或多层数学规划问题，并提出了求解问题的相互合作解（满意解）的计算方法。考虑到协作模糊决策在多级规划中的必要性，本文提出了用于多级线性规划、线性分式规划、离散规划和非线性规划的交互式模糊规划方法。研究方案包括以下四个部分：1.研究方案；研究了模糊环境下多级线性规划问题的交互式模糊决策。研究了模糊环境下多级线性分式规划问题的交互式模糊决策方法，并将其应用于制造企业的生产和分配问题。本文研究了模糊环境下多级0-1规划问题的交互式模糊决策，并将其应用于制造企业的运输规划和劳动力分配问题。研究了模糊环境下多级非凸非线性规划问题的交互式模糊决策方法。1999-2001年，我们在国内外相关领域的期刊上发表了上述研究成果，并在国际会议上发表了多篇论文。此外，我们打算在国内和国际期刊上发表一些论文，并将我们正在进行的相关研究工作呈现在《大规模交互式模糊多目标规划》一书中，如本报告的参考文献所示。少

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 and they are solved by using optimization techniques corresponding to forms of the formulated mathematical programming problems. 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 mathematical programming problems in fuzzy and/or multiobjective environments and propose computational methods for deriving mutual cooperative solutions (satisfactory solutions) to the problems. By considering the necessity for cooperative fuzzy decision making in the multi-level programming, interactive fuzzy programming methods for multilevel linear, linear fractional, discrete, and nonlinear programming … More problems are presented in fuzzy and/or multiobjective environments. The research program consisted of the following four parts:1. We investigated interactive fuzzy decision making for multi-level linear programming problems in a fuzzy environment.2. We developed interactive fuzzy decision making for multi-level linear fractional programming problems in a fuzzy environment with applications to production and assignment problems in manufacturing companies.3. We investigated interactive fuzzy decision making for multi-level 0-1 programming problems in a fuzzy environment with applications to transportation planning and work force assignment problems in manufacturing companies.4. We developed interactive fuzzy decision making for multi-level nonconvex nonlinear programming problems in a fuzzy environment.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 1999-2001. Moreover we intend to contribute some papers to domestic and international journals, and the related research works that we have been continuing presented in the book entitled "Large Scale Interactive Fuzzy Multiobjective Programming" as is shown in the References of this report. Less