| 组合判断矩阵的相容性与一致性关系 |
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| 引用本文： | 陈华友,刘春林. 组合判断矩阵的相容性与一致性关系[J]. 系统管理学报, 2004, 13(4): 377-380 |
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| 作者姓名： | 陈华友 刘春林 |
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| 作者单位： | 1. 南京大学管理科学与工程研究院,南京,210093
2. 南京大学商学院,南京,210093 |
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| 基金项目： | 国家自然科学基金资助项目(70101003)，安徽省教育厅科研基金资助项目(2002kj022) |
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| 摘 要： | 在相容性概念的基础上,研究了加权几何平均组合判断矩阵的相容性以及相容性和一致性的关系。在相对较弱的条件下,获得了组合判断矩阵不仅与其自身的特征矩阵具有满意的相容性,而且它还与加权几何平均组合排序向量所构成的特征矩阵具有满意的相容性。这为在群组决策中使用加权几何平均向量排序法提供理论依据。最后进行了实例分析,验证了该结论。
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| 关 键 词： | 组合判断矩阵 相容性 一致性 特征矩阵 |
| 文章编号： | 1005-2542(2004)04-0377-04 |
| 修稿时间： | 2003-10-14 |
Research on Relations Between Compatibility and Consistency of Combination Judgement Matrices |
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| CHEN Hua-you. Research on Relations Between Compatibility and Consistency of Combination Judgement Matrices[J]. Systems Engineering Theory·Methodology·Applications, 2004, 13(4): 377-380 |
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| Authors: | CHEN Hua-you |
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| Affiliation: | CHEN Hua-you~ |
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| Abstract: | Based on the concept of compatibility, the compatibility and relations between compatibility and consistency of weighted geometric average combination judgement matrix are studied. It shows that the combination judgemen matrix has satisfactory compatibility not only with its characteristic matrix, but also with characteristic matrix consisted of weighted geometric average combination vector, under weaker conditions. This offers a thoretical basis on applying the method of group decision making. Finally, an example shows the correctness of the results. |
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| Keywords: | combination judgenment matrix compatibility consistency characteristic matrix. |
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