| AHP一致性的概率检验法 |
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| 引用本文： | 蔡海鸥,张若欣. AHP一致性的概率检验法[J]. 数学的实践与认识, 2010, 40(7) |
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| 作者姓名： | 蔡海鸥 张若欣 |
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| 作者单位： | 1. 中国人民大学信息学院北京,100872
2. 北密致根大学科学与计算机系Marquette,MI,49855-5301 |
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| 摘 要： | Saaty的层次分析决策方法(AHP)是目前较为流行的多属性目标决策方法.AHP方法的一致性问题是其理论研究中心之一.通过Saaty的判断属性集合和一致性水平,很容易验证判断矩阵的一致性程度是否满足.但是对于Saaty的一致性水平,要求C.R≤0.1的内涵还需要进一步的揭示.研究Saaty的一致性原理,并给出检验矩阵一致性的概率方法,简称α一致性方法.
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| 关 键 词： | 判断矩阵 特征辅助矩阵 x~2-分布 一致性指数 α一致性 |
Testing Consistency of Judgment Matrices in AHP with Method |
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| CAI Hai-ou,ZHANG Ruo-xin. Testing Consistency of Judgment Matrices in AHP with Method[J]. Mathematics in Practice and Theory, 2010, 40(7) |
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| Authors: | CAI Hai-ou ZHANG Ruo-xin |
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| Affiliation: | CAI Hai-ou,ZHANG Ruo-xin (Renmin University of China,Beijing 100087,China,Northern Michigan University US,IM 49855-5301) |
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| Abstract: | The analytic hierarchy process(AHP) of Saaty is one of the popularly applied multicriteria solution.In addition,the consistency of AHP is the kernel of the theoretical research.There is an easy way to approve if a matrix can meet this criterion via the Saaty's consistency index. Having considered the distribution of stochastic perturbation which will be applied by judging matrices,the Saaty's consistency index needs to be revised for easily applying.In this paper,it illustrates the problem as manifested in ... |
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| Keywords: | judgment matrix auxiliary matrix consistency index chi-distribution αtest method |
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