一种新的多目标群决策方法──交互式比较矩阵法  

ANEW METHOD TO GROUP DECISION-MAKING WITH MULTIPLE OBJECTIVES──INTERACTIVE COMPARISION MATRICE APPROACH

作　　者：余磊[1] 程明熙[1] 

机构地区：[1]东南大学经济管理学院

出　　处：《系统工程学报》1994年第2期28-35,共8页Journal of Systems Engineering

基　　金：国家自然科学基金

摘　　要：由于决策者的个人偏好效用难于进行比较和归并，使得多目标群决策问题成为难题。针对此难点，本文建立了一系列公理，并在此基础上证明了两种可能性定理，然后提出了一种新的多目标群决策方法─交互式比较矩阵法（ＩＣＭ法）。该方法建立在群体评价和信息反馈的基础上，能最大限度地获取和利用决策者的偏好信息，集人─人对话和人─机交互于一体，能有效地获得群满意解。It is rather difficult to aggregate individual preference into group's when we are making group decision with multiple objectives. This paper studies a new method to this problem which is called interactive comparison matrice approach. Under certain prespecified behavioural postulates,each decision maker expresses his preference by articulating his pairwise comparison matrice according to each objective. To aggregate these matrice,we hereby postulate a system of condition under which a possible theorem is proved.It shows that the group's judgement is the Hadamard product of all individual judgement with their weight. At the same time,a corollary of geometric mean aggregation is shown.

关 键 词：群决策 多目标决策 比较矩阵 ICM法 

分 类 号：O224[理学—运筹学与控制论]