| 对使用C.R衡量互反矩阵一致性的统计解释及探讨 |
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| 引用本文： | 郑明,沈怡,黄治斌.对使用C.R衡量互反矩阵一致性的统计解释及探讨[J].系统管理学报,2001,10(1):75-78. |
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| 作者姓名： | 郑明 沈怡 黄治斌 |
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| 作者单位： | 复旦大学 统计学系, |
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| 基金项目： | 国家自然科学基金资助项目(19971015) |
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| 摘 要： | 在运用AHP方法解决多因素、多目标决策问题时，如何衡量互反矩阵的一致性一直是决策者们关心的课题。本文对目前为人们广泛使用的C.R.衡量法提供了统计解释，同时也对C.R.临界值0.1进行了探讨。
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| 关 键 词： | 互反矩阵 一致性 误差控制 |
| 文章编号： | 1005-2542(2001)01-075-04 |
| 修稿时间： | 2000年2月16日 |
Further Discussion on C.R. |
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| ZHENG Ming,SHEN Yi,HUANG Zhi-bin.Further Discussion on C.R.[J].Systems Engineering Theory·Methodology·Applications,2001,10(1):75-78. |
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| Authors: | ZHENG Ming SHEN Yi HUANG Zhi-bin |
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| Abstract: | When applying AHP to make decision, decision makers always use C.R. to measure the consistency of a reciprocal matrix. If C.R. ≤10%, then the reciprocal matrix is thought to be consistent, otherwise it is refused. But does it make sense to use C.R., the ratio of the C.I. to an average C.I. (known as R.I.) computed from 500 n×n random reciprocal matrices, to examine the consistency?And why should the upper bound of C.R. be 10%?The purpose of this paper is to explain the statistical meaning of using the consistency index C.R. fr om the point of estimate error control. We also discuss the rationality to use the 10% cut-off rule. |
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| Keywords: | reciprocal matrix consistency error control |
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