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基于不同类型残缺判断矩阵的群决策方法
引用本文:徐泽水.基于不同类型残缺判断矩阵的群决策方法[J].控制与决策,2006,21(1):28-0033.
作者姓名:徐泽水
作者单位:清华大学,经济管理学院,北京,100084;解放军理工大学,理学院,南京,211101
基金项目:国家自然科学基金项目(70571087);中国博士后科学基金项目(2003034366).
摘    要:定义了一系列残缺不确定判断矩阵的概念,并且定义了一种连续区间数据有序加权几何(C-OWG)算子.利用连续区间数据有序加权平均(C-OWA)子和C-OWG算予等转化途径把不同类型的残缺不确定判断矩阵均一致化为残缺期望值互补判断矩阵,进而提出一种基于不同类型残缺判断矩阵的群决策方法.最后通过实例验证了方法的可行性和有效性.

关 键 词:群决策  残缺不确定判断矩阵  C-OWA算子  C-OWG算子  期望值
文章编号:1001-0920(2006)01-0028-06
收稿时间:2004-12-07
修稿时间:2005-03-22

Group Decision Making Method Based on Different Types of Incomplete Judgment Matrices
XU Ze-shui.Group Decision Making Method Based on Different Types of Incomplete Judgment Matrices[J].Control and Decision,2006,21(1):28-0033.
Authors:XU Ze-shui
Affiliation:1. School of Economics and Management, Tsinghua University, Beijing 100084, China; 2. Institute of Sciences, PLA University of Science and Technology, Nanjing 210007, China.
Abstract:Various types of incomplete uncertain judgment matrices are defined.A continuous interval argument OWG(C-OWG) operator is introduced and applied,together with C-OWA operator,to transforming the incomplete uncertain judgment matrices into the expected value complementary judgment matrices. Then,a method for group decision making with various types of incomplete judgment matrices is developed.Finally,the feasibility and effectiveness of the developed method is illustrated by a numerical example.
Keywords:Group decision making  Incomplete uncertain judgment matrix  C-OWA operator  C-OWG operatorExpected value
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