| 层次分析法权重计算方法分析及其应用研究 |
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| 引用本文： | 邓雪,李家铭,曾浩健,陈俊羊,赵俊峰.层次分析法权重计算方法分析及其应用研究[J].数学的实践与认识,2012,42(7):93-100. |
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| 作者姓名： | 邓雪 李家铭 曾浩健 陈俊羊 赵俊峰 |
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| 作者单位： | 1. 华南理工大学理学院数学系,广东广州,510640
2. 华南理工大学机械与汽车工程学院,广东广州,510640 |
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| 基金项目： | 广东省大学生创新实验项目，华南理工大学中央高校基本科研业务费项目 |
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| 摘 要： | 介绍层次分析法的基本概念,同时也分析了层次分析法权重的计算方法及应用,层次分析法的计算方法有四种方法:几何平均法、算术平均法、特征向量法、最小二乘法,以往的文献利用层次分析法解决实际问题时,都是采用其中的某一种方法求权重向量,不同的方法会导致结果有些偏差,将对一具体实例,采用四种计算方法分别得出权重向量再进行排序和综合分析,这样可以避免采用单一方法所产生的偏差,得出的结论将更全面、更有效。
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| 关 键 词： | 层次分析法 判断矩阵 权重向量 一致性检验 |
Research on Computation Methods of AHP Wight Vector and Its Applications |
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| DENG Xue
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LI Jia-ming
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ZENG Hao-jian
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CHEN Jun-yang
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ZHAO Jun-feng.Research on Computation Methods of AHP Wight Vector and Its Applications[J].Mathematics in Practice and Theory,2012,42(7):93-100. |
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| Authors: | DENG Xue LI Jia-ming ZENG Hao-jian CHEN Jun-yang ZHAO Jun-feng |
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| Institution: | 1.Department of Mathematics,School of Science,South China University of Technology,Guangzhou,510640, China) (2.School of Mechanical & Automotive Engineering,South China University of Technology,Guangzhou 510640, China) |
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| Abstract: | The basic concept of Analytical Hierarchy Process(AHP) is introduced,and the computation methods to AHP and its applications are analyzed in this paper.As to AHP, there are the following four computation methods:Geometric Average(GA),Arithmetic Average(AA),Eigenvector Method(EM),and Least Squares(LS).In most literatures,one of the four computation methods of AHP is used to solve weight vector in analyzing some practical problems.As a result,different methods can induce different results with warps.In this paper,four computation methods are used to solve weight vectors of a practical example, respectively,and then these corresponding results are sorted order and synthetically analyzed in order to avoid the warps produced by using one method.Furthermore,the comprehensive and effective results are obtained. |
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| Keywords: | analytical hierarchy process decision matrix weight vector consistency test |
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