| 衡量互反矩阵一致性的一种新指标 |
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| 引用本文： | 郑明,沈怡.衡量互反矩阵一致性的一种新指标[J].运筹学学报,2000,4(1):81-85. |
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| 作者姓名： | 郑明 沈怡 |
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| 作者单位： | 复旦大学统计运筹系,上海200433 |
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| 基金项目： | 国家自然科学基金资助胡项目 |
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| 摘 要： | 本文针对ＡＨＰ中利用几何平均值来估计各因素权向量的方法提出了与之匹配的一种新的衡量互反矩阵一致性的指标，并且制定了相应的衡量标准，同时将其与利用最大特征值所建立的指标入标准进行了比较与讨论。
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| 关 键 词： | 互反矩阵 一致性 权向量 几何平均法 AHP |
| 修稿时间： | 1997-04-30 |
A New Index to Measure the Consistency of Reciprocal Matrix |
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| MING ZHENG,YI SHEN.A New Index to Measure the Consistency of Reciprocal Matrix[J].OR Transactions,2000,4(1):81-85. |
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| Authors: | MING ZHENG YI SHEN |
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| Institution: | MING ZHENG
,YI SHEN
(Department of Statistics and Operations Research, Fudan University, Shanghai 200433, China) |
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| Abstract: | In this paper, we provide a new index that can be used to measure the consistency of reciprocal matrix when geometric mean is derived as the weight vector solution. And this index is compared with the one constructed by the largest eigenvalue of the reciprocal matrix. |
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| Keywords: | reciprocal matrix consistency weight vector geometric mean principal eigenvector |
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