一种改进判断矩阵一致性的算法

魏翠萍;章志敏

系统工程理论与实践 ›› 2000, Vol. 20 ›› Issue (8) : 62-66.

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PDF(174 KB)
系统工程理论与实践 ›› 2000, Vol. 20 ›› Issue (8) : 62-66. DOI: 10.12011/1000-6788(2000)8-62
论文

一种改进判断矩阵一致性的算法

    魏翠萍; 章志敏
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An Algorithm to Improve the Consistency of a Comparison Matrix

    Cui PingWEI,Zhi Min ZHANG
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摘要

本文给出一种算法 ,通过修改判断矩阵的一对元素 ,使其一致性得到逐步改进 ,直到达到决策者要求的任意精度 .最后 ,证明了算法的收敛性并进行了实例分析 .

Abstract

In this paper, we propose a method to modify a pair of elements of the comparison matrix, by which the CI value of the modified matrix is less than that of the original one; then the convergence theorem for the algorithm is established and its practicality is showed by some examples.

关键词

层次分析法 / 判断矩阵 / 一致性检验

Key words

AHP / comparison matrix / consistency index(CI) /

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魏翠萍 , 章志敏. 一种改进判断矩阵一致性的算法. 系统工程理论与实践, 2000, 20(8): 62-66 https://doi.org/10.12011/1000-6788(2000)8-62
Cui PingWEI , Zhi Min ZHANG. An Algorithm to Improve the Consistency of a Comparison Matrix. Systems Engineering - Theory & Practice, 2000, 20(8): 62-66 https://doi.org/10.12011/1000-6788(2000)8-62
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