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

模糊环境下大规模多目标多级系统的交互式决策

• 批准号: 11680448
• 负责人: SAKAWA Masatoshi
• 金额: $ 1.22万
• 依托单位: HIROSHIMA UNIVERSITY
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 1999
• 资助国家: 日本
• 起止时间: 1999 至 2001
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-11680448/
• 关键词: fuzzy systems; large scale systems; multiobiective systems; multi-level systems; interactive decision making; fuzzy programming; multiobiective programming; genetic algorithms; 多目的システム; ファジィ計画法; 多目的計画法

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

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，决策问题制定为数学规划问题，并使用相应的形式制定的数学规划问题的优化技术来解决它们。特别是，在解决冲突的决策层次管理或公共组织，制定的多层数学规划问题已经常采用。在本研究中，我们处理的两个层次或多层的数学规划问题的模糊和/或多目标环境，并提出计算方法，获得相互合作的解决方案（满意解）的问题。考虑到多层规划中合作模糊决策的必要性，给出了多层线性规划、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 ...更多信息 问题是在模糊和/或多目标环境中提出的。本研究计划包括以下四个部分：1.研究了模糊环境下多层线性规划问题的交互式模糊决策问题.针对模糊环境下的多层线性分式规划问题，提出了交互式模糊决策方法，并应用于制造企业的生产和分配问题.研究了模糊环境下多层0-1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运输规划和劳动力分配问题.本文研究了模糊环境下多层非凸非线性规划问题的交互式模糊决策问题，并在国内外相关期刊上发表了研究成果，在1999-2001年的国际会议上发表了多篇论文。此外，我们打算向国内和国际期刊投稿，并在本报告的参考文献中显示了我们在题为“大规模交互式模糊多目标规划”的书中继续进行的相关研究工作。少

项目成果

M. Sakawa: "Interactive fuzzy programming for cooperate two-level linear fractional programming problems with multiple decision makers"International Journal of Fuzzy Systems. 1・1. 48-59 (1999)

M. Sakawa：“与多个决策者合作的两级线性分数规划问题的交互式模糊规划”国际模糊系统杂志 1・1（1999 年）。

Masatoshi Sakawa: "Interactive fuzzy programming for multi-level 0-1 programming problems with fuzzy parameters through genetic algorithms"Fuzzy Sets and Systems. 117-1. 95-111 (2001)

Masatoshi Sakawa：“通过遗传算法利用模糊参数进行多级 0-1 编程问题的交互式模糊编程”模糊集和系统。

Masatoshi Sakawa: "Interactive fuzzy programming for multi-level linear programming problems with fuzzy parameters"Fuzzy Sets and Systems. 109-1. 3-19 (2000)

Masatoshi Sakawa：“带有模糊参数的多级线性规划问题的交互式模糊规划”模糊集和系统。

M.Sakawa: "Large Scale Interactive Fuzzy Multiobjective Programming"Physica-Verlag. 217 (2000)

M.Sakawa：“大规模交互式模糊多目标规划”Physica-Verlag。

Masatoshi Sakawa: "Interactive fiizzy programming tor two-level linear fractional programming problems with fuzzy parameters"Journal of Japan Society for Fuzzy Theory and Systems. 11-4. 658-666 (1999)

Masatoshi Sakawa：“带有模糊参数的两级线性分数规划问题的交互式模糊规划”日本模糊理论与系统学会杂志。