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一种基于图论与熵的专家判断客观可信度的确定方法
引用本文:熊立,梁樑,王国华.一种基于图论与熵的专家判断客观可信度的确定方法[J].运筹与管理,2004,13(4):6-11.
作者姓名:熊立  梁樑  王国华
作者单位:中国科学技术大学,商学院,安徽,合肥,230026
基金项目:国家自然科学基金资助项目(70371023),教育部博士点基金资助项目(20030358052)
摘    要:本文给出一种群决策中确定专家判断可信度的方法,其主要思路是首先通过图论中最小生成树的方法提取专家判断矩阵的全部信息,其次,使用相对熵指标确定获得专家判断的最终结果,并同时衡量专家自身判断的统一程度,从而确定专家判断的相对客观可信度。最后,文章给出一个典型的算例以说明该方法的可行性和有效性。

关 键 词:判断矩阵    生成树    可信度
文章编号:1007-3221(2004)04-0006-06

New Method of Determining the Objective Reliability of Decision-maker Based on Theory of Graph and Entropy in Group Decision
XIONG Li,liangliang,WANG Guo-hua.New Method of Determining the Objective Reliability of Decision-maker Based on Theory of Graph and Entropy in Group Decision[J].Operations Research and Management Science,2004,13(4):6-11.
Authors:XIONG Li  liangliang  WANG Guo-hua
Abstract:This paper proposes a new method of determining the reliability of decision-maker. We derive information from each judgment matrix by the method of Minimum Spanning Tree, and then determine the personal consistency by the index of elative entropy, so that we can have the relative reliability of each expert. In the end, the method is given through an example.
Keywords:judgment matrix  spanning tree  elative entropy  consistency  reliability
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