| 基于残缺互补判断矩阵的交互式群决策方法 |
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| 引用本文： | 徐泽水.基于残缺互补判断矩阵的交互式群决策方法[J].控制与决策,2005,20(8):913-916. |
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| 作者姓名： | 徐泽水 |
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| 作者单位： | 解放军理工大学,理学院,南京,210007 |
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| 基金项目： | 中国博士后科学基金项目(2003034366) |
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| 摘 要： | 研究基于残缺互补判断矩阵的群决策问题.首先利用残缺互补判断矩阵的积型一致性,将每个残缺互补判断矩阵拓展为完整的互补判断矩阵(简称拓展互补判断矩阵),并将所有个体拓展互补判断矩阵集成为群体互补判断矩阵;然后基于群体互补判断矩阵与个体拓展互补判断矩阵之间的偏离阈值同决策者进行交互,使得决策者的意见尽可能协调一致;最后给出一种基于残缺互补判断矩阵的交互式群决策方法,并进行了算例分析.
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| 关 键 词： | 群决策 残缺互补判断矩阵 拓展互补判断矩阵 积型一致性 |
| 文章编号： | 1001-0920(2005)08-0913-04 |
| 收稿时间： | 2004-08-29 |
| 修稿时间： | 2004年8月29日 |
Interactive Approach Based on Incomplete Complementary Judgement Matrices to Group Decision Making |
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| XU Ze-shui.Interactive Approach Based on Incomplete Complementary Judgement Matrices to Group Decision Making[J].Control and Decision,2005,20(8):913-916. |
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| Authors: | XU Ze-shui |
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| Abstract: | Group decision-making problem based on incomplete complementary judgement matrices is investigated. Firstly, each individual incomplete complementary judgement matrix is extended to a complete complementary judgement matrix by utilizing multiplicative consistency. All these extended matrices are then aggregated into the collective complementary judgement matrix. Secondly, based on the dead line of deviations between the collective complementary judgement matrix and individual extended complementary judgement matrices, the decision makers interact in order to obtain the highest degree of consensus. Finally, an interactive approach based on incomplete complementary judgement matrices to group decision making is developed, and an illustrative example is also given. |
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| Keywords: | Group decision making Incomplete complementary judgement matrix Extended complementary judgement matrix Multiplicative consistency |
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