A statistical approach to measure the consistency level of the pairwise comparison matrix
A statistical approach to measure the consistency level of the pairwise comparison matrix
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DOI：
10.1057/jors.2013.92
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发表时间：
2014-09-01
影响因子：
3.6
通讯作者：
Ergu, Daji
中科院分区：
文献类型：
--
作者：
Lin, Changsheng;Kou, Gang;Ergu, Daji
成对判断矩阵(PCM)的一致性在层次分析法中得到了广泛的研究。现有的大多数相控模型一致性检验方法都是基于萨蒂(1977)提出的相容比阈值(0.1)。为了更准确地度量相控阵模型的一致性水平，将假设检验和随机一致性指数相结合，提出了一种基于显著性水平的统计方法。将所提出的统计方法应用于一个教育评价问题，以验证其合理性和可靠性。
The consistency of the pairwise comparison matrix (PCM) has been extensively studied in the Analytic Hierarchy Process. Most of the existing approaches for the consistency test of the PCM are based on the consistency ratio threshold (0.1) introduced by Saaty (1977). To accurately measure the consistency level of the PCM, a statistical approach based on the significance level is proposed in this paper by combining the hypothesis test and the random consistency index. The proposed statistical approach is applied to an education evaluation problem in order to demonstrate the rationality and reliability of it.