| 基于预排序和上取整函数的 AHP判断矩阵生成算法 |
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| 引用本文： | 鲁智勇,张磊,唐朝京.基于预排序和上取整函数的 AHP判断矩阵生成算法[J].电子学报,2009,37(6):1247-1251. |
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| 作者姓名： | 鲁智勇 张磊 唐朝京 |
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| 作者单位： | 1. 国防科技大学电子科学与工程学院,湖南长沙410073;六三八八零部队,河南洛阳471003
2. 国防科技大学电子科学与工程学院,湖南长沙,410073 |
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| 摘 要： | 对于层次分析法中不满足一致性要求的判断矩阵,提出了一种新的生成算法.此算法首先对目标因素集进行预排序生成初始判断矩阵,由上取整函数生成比较矩阵,然后由初始判断矩阵和比较矩阵构造相对误差矩阵,并在相对误差矩阵和矩阵相异度的控制下逐步调整初始判断矩阵,最后生成满足一致性要求和矩阵相异度最小的目标判断矩阵.仿真结果证实了所提出方法的可行性和有效性.
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| 关 键 词： | 层次分析法 判断矩阵 一致性 预排序 上取整函数 |
| 收稿时间： | 2008-01-07 |
A Generating Algorithm for the Judgment Matrix in AHP Based on Pre-Ordering and Top Integral Function |
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| LU Zhi-yong,ZHANG Lei,TANG Chao-jing.A Generating Algorithm for the Judgment Matrix in AHP Based on Pre-Ordering and Top Integral Function[J].Acta Electronica Sinica,2009,37(6):1247-1251. |
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| Authors: | LU Zhi-yong ZHANG Lei TANG Chao-jing |
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| Affiliation: | 1.College of Electronic Science and Engineering;National University of Defense Technology;Changsha;Hunan 410073;China;2.Unit 63880;Luoyang;Henan 471003;China |
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| Abstract: | An algorithm is proposed for the non-consistent judgment matrix in AHP.A primary judgment matrix is generated firstly through pre-ordering the targeted factor set,and a compared matrix is built through the top integral function.Then a relative error matrix is created by comparing the compared matrix with the primary judgment matrix which is regulated under the control of the relative error matrix and the dissimilar degree of the matrix step by step.Finally,the targeted judgment matrix is generated to satisf... |
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| Keywords: | analytical hierarchy process judgment matrix consistency pre-ordering top integral function |
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