引用本文:韦保磊,谢乃明.基于随机模拟和滤波分析的大群体决策方法[J].控制与决策,2019,34(8):1761-1768
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基于随机模拟和滤波分析的大群体决策方法
韦保磊1, 谢乃明1,2
(1. 南京航空航天大学经济与管理学院,南京211106;2. 南京航空航天大学灰色系统研究所,南京211106)
摘要:
基于决策者评价信息包含主观成分与客观成分的基本假设,将随机模拟与滤波分析方法相结合,提出随机滤波决策方法分离主客观成分,运用大数定律分析以客观成分均值作为方案排序标准的理论基础与物理意义,论证该方法的收敛性及其在解决大群体决策问题中的优势.以经验模态分解为滤波方法构建大群体随机经验模态分解滤波决策方法,并运用算例说明决策过程, 以验证方法的合理性和有效性.
关键词:  大群体决策  随机模拟  滤波分析  主客观成分  信息集结  经验模态分解
DOI:10.13195/j.kzyjc.2018.0037
分类号:C934
基金项目:国家自然科学基金项目(71671090);国家自然科学基金委与英国皇家学会合作交流项目(71811530338);航空科学基金项目(2016ZG52068);教育部人文社科基金项目(15YJCZH189);江苏省青蓝工程中青年学术带头人计划项目.
Large group decision-making method based on random simulation and filter analysis
WEI Bao-lei1,XIE Nai-ming1,2
(1. College of Economics and Management,Nanjing University of Aeronautics and Astronautics,Nanjing211106,China;2. Institute of Grey System Studies, Nanjing University of Aeronautics and Astronautics,Nanjing211106,China)
Abstract:
A random filtering decision-making method combining random simulation and filter analysis is proposed based on the basic assumption that each decision-maker's assessment information contains subjective and objective components. The mean value of objective component is used as ranking metrics, and the law of large numbers is employed to analyze its theoretical basis and physical significance. The convergence and advantages over other large group decision-making methods are also studied. The random empirical mode decomposition decision-making method is constructed, in which empirical mode decomposition is used as a filter method. An example is given to iaustrate the decision process, rationality and validity of the proposed method.
Key words:  large group decision-making  random simulation  filter analysis  subjective and objective components  information aggregation  empirical mode decomposition

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