基于随机模拟和滤波分析的大群体决策方法
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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.
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.
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.
引文
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[2]魏翠萍.层次分析法中和积法的最优化理论基础及性质[J].系统工程理论与实践,1999,19(9):113-115.(Wei C P.The optimization basis and properties of the sum-product method in AHP[J].Systems Engineering-Theory&Practice,1999,19(9):113-115.)
[3]Liu B S,Shen Y H,Chen X H,et al.Acomplex multi-attribute large-group PLS decisionmaking method in the interval-valued intuitionistic fuzzy environment[J].Applied Mathematical Modelling,2014,38(17/18):4512-4527.
[4]Liu B S,Huo T F,Liao P C,et al.A group decision-making aggregation model for contractor selection in large scale construction projects based on two-stage partial least squares(PLS)path modeling[J].Group Decision and Negotiation,2015,24(5):855-883.
[5]徐选华,陈晓红.基于矢量空间的群体聚类方法研究[J].系统工程与电子技术,2005,27(6):1034-1037.(Xu X H,Chen X H.Research on the group clustering method based on vector space[J].Systems Engineering and Electronics,2005,27(6):1034-1037.)
[6]徐选华,陈晓红.一种多属性多方案大群体决策方法研究[J].系统工程学报,2008,23(2):137-141.(Xu X H,Chen X H.Research of a kind of method of multi-attributes and multi-schemes large group decision making[J].J of System Engineering,2008,23(2):137-141.)
[7]徐选华,陈晓红,王红伟.一种面向效用值偏好信息的大群体决策方法[J].控制与决策,2009,24(3):440-445.(Xu X H,Chen X H,Wang H W.A kind of large group decision-making method oriented utility valued preference information[J].Control&Decision,2009,24(3):440-445.)
[8]Liu B S,Shen Y H,Chen X H,et al.A partial binary tree DEA-DA cyclic classification model for decision makers in complex multi-attribute large-group interval-valued intuitionistic fuzzy decision-making problems[J].Information Fusion,2014,18(1):119-130.
[9]Liu B S,Shen Y H,Chen Y,et al.A two-layer weight determination method for complex multi-attribute large-group decision-making experts in a linguistic environment[J].Information Fusion,2015,23(C):156-165.
[10]Liu B S,Chen Y,Shen Y H,et al.A complex multi-attribute large-group decision making method based on the interval-valued intuitionistic fuzzy principal component analysis model[J].Soft Computing,2014,18(11):2149-2160.
[11]Liu B S,Shen Y H,Chen X H,et al.An interval-valued intuitionistic fuzzy principal component analysis model-based method for complex multi-attribute large-group decision-making[J].European J of Operational Research,2015,245(1):209-225.
[12]Palomares I,Martinez L,Herrera F.A consensus model to detect and manage noncooperative behaviors in large-scale group decision making[J].IEEE Trans on Fuzzy Systems,2014,22(3):516-530.
[13]Palomares I,Martínez L,Herrera F.MENTOR:Agraphical monitoring tool of preferences evolution in large-scale group decision making[J].Knowledge-Based Systems,2014,58(58):66-74.
[14]Xu X H,Du Z J,Chen X H.Consensus model for multi-criteria large-group emergency decision making considering non-cooperative behaviors and minority opinions[J].Decision Support Systems,2015,79(C):150-160.
[15]徐选华,王兵,周艳菊.基于信任机制的不完全信息大群体决策方法[J].控制与决策,2016,31(4):577-585.(Xu X H,Wang B,Zhou Y J.Method for large group decision making with incomplete decision preference information based on trust mechanism[J].Control&Decision,2016,31(4):577-585.)
[16]Liu Y,Fan Z P,Zhang X.A method for large group decision-making based on evaluation information provided by participators from multiple groups[J].Information Fusion,2016,29(C):132-141.
[17]周任军,陈瑞先,陈跃辉,等.基于EMD提取专家语言评价信息的群决策方法[J].系统工程理论与实践,2016,36(3):743-749.(Zhou R J,Chen R X,Chen Y H,et al.The method of group decision making based on the EMD extracting experts linguistic assessment information[J].Systems Engineering-Theory&Practice,2016,36(3):743-749.
[18]Huang N E,Wu M L C,Long S R,et al.A confidence limit for the empirical mode decomposition and Hilbert spectral analysis[J].Proc of the Royal Society of Lodon:Series A,2003,459(2037):2317-2345.
[19]李海涛,罗党,韦保磊.不确定语言评价信息下大群体决策的MC-EMD方法[J].中国管理科学,2017,25(4):164-173.(Li H T,Luo D,Wei B L.Method for large group decision-making with uncertain linguistic assessment information based on MC-EMD[J].Chinese J of Management Science,2017,25(4):164-173.)
[20]Rice J A.Mathematical statistics and data analysis[M].3rd ed.Belmont:Duxbury Press,2007:177-181.
[21]Huang N E,Shen Z,Long S R,et al.The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis[J].Proc of the Royal Society of Lodon:Series A,1998,454(1971):903-995.