| 一种基于区间数判断矩阵的群决策新方法 |
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| 引用本文： | 李炳军,刘思峰.一种基于区间数判断矩阵的群决策新方法[J].中国管理科学,2004,12(6):109-112. |
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| 作者姓名： | 李炳军 刘思峰 |
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| 作者单位： | 南京航空航天大学经济与管理学院 南京 210016 |
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| 基金项目： | 国家教育部博士学科点科研基金(20020287001);江苏省自然科学基金重点项目(BK2003211) |
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| 摘 要： | 针对基于区间数判断矩阵的群决策问题,提出了一种群决策新方法.借助于集值统计原理,构造了与区间数判断矩阵群信息等价的具有一定可靠度的确定数判断矩阵,建立了计算这类群信息集结值可靠度的模型,运用和积法对所得新判断矩阵进行处理,得到了一种简便的方案排序方法.最后,通过一个算例验证了该方法的有效性和实用性.
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| 关 键 词： | 区间数判断矩阵 群决策 集值统计 可靠度 |
| 文章编号： | 1003-207(2004)06-0109-04 |
| 收稿时间： | 2004-02-09; |
| 修稿时间： | 2004年2月9日 |
A New Method on Group Decision - Making with Interval - Number Judgment Matrices |
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| LI Bing-jun,LIU Si-feng.A New Method on Group Decision - Making with Interval - Number Judgment Matrices[J].Chinese Journal of Management Science,2004,12(6):109-112. |
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| Authors: | LI Bing-jun LIU Si-feng |
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| Institution: | Colelge of Economcis and Management,Nanjing Universtiy of Aeronautics and Astronautcis, Nanjing 210016, Chnia |
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| Abstract: | With regard to the group decision- making under interval-number judgment matrixes, a new method is proposed. Based on the theory of set-value statistics, a new judgment matrix consisting of some defining-numbers with certain reliabilities is constructed equivalent to judgment matrixes with interval-number, and the model of computing and revising the reliable degree of the aggregated values of group information is established. A simple algorithm for making alternatives is given through dealing with the new judgment matrix by the sum-product method. Finally,a numerical example is used to illustrate the validity and the application of the method. |
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| Keywords: | interval-number judgment matrix group decsiion-making set-value statistics reliabiltiy |
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