| 一致矩阵的特征性质 |
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| 引用本文： | 胡端平,唐超.一致矩阵的特征性质[J].武汉化工学院学报,2009,31(5):93-94. |
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| 作者姓名： | 胡端平 唐超 |
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| 作者单位： | 武汉工程大学理学院,湖北武汉430074 |
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| 摘 要： | 一致矩阵是层次分析的理论基础．本文给出了正互反矩阵A为一致的充分必要条件是rank（A）=1，且aii=1，并且给出了一种新的一致性检验指标KI=rank（A）^-1/n-1，同时给出了正矩阵为一致矩阵的充分必要条件．
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| 关 键 词： | 正互反矩阵 一致矩阵 一致性检验指标 |
The character of consistent matix |
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| HU Duan-ping,TANG Chao.The character of consistent matix[J].Journal of Wuhan Institute of Chemical Technology,2009,31(5):93-94. |
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| Authors: | HU Duan-ping TANG Chao |
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| Affiliation: | (School of Science, Wuhan Institute of Technology, Wuhan 430074, China) |
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| Abstract: | The consistent matrix is the analytic hierarchy rationale. This article has given reciprocal matrix A is the consistent full essential condition is rank （A）= 1, and given a new consistency test indicator which is KI=rank（A）^-1/n-1, and also given a necessary and sufficient condition which is positive matrix for the consistent matrix. |
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| Keywords: | positive reciprocal matrix consistent matrix consistency test indicator |
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