| 基于非线性主成分和聚类分析的综合评价方法 |
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| 引用本文： | 童新安,许超. 基于非线性主成分和聚类分析的综合评价方法[J]. 统计与信息论坛, 2008, 23(2): 37-41,46 |
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| 作者姓名： | 童新安 许超 |
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| 作者单位： | 洛阳理工学院,数理教学部,河南,洛阳,471003 |
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| 摘 要： | 针对传统主成分在处理非线性问题上的不足,阐述了传统方法在数据无量纲化中“中心标准化”的缺点和处理“线性”数据时的缺陷,给出了数据无量纲化和处理“非线性”数据时的改进方法,并建立了一种基于“对数中心化”的非线性主成分分析和聚类分析的新的综合评价方法。实验表明,该方法能有效地处理非线性数据。
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| 关 键 词： | 主成分分析 中心标准化 均值化 对数中心化 聚类分析 |
| 文章编号： | 1007-3116(2008)02-0037-05 |
| 修稿时间： | 2007-09-13 |
A New Method of Synthetic Evaluation Based on Non-linear Principal Component and Cluster Analysis |
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| TONG Xi-nan,XU Chao. A New Method of Synthetic Evaluation Based on Non-linear Principal Component and Cluster Analysis[J]. Statistics & Information Tribune, 2008, 23(2): 37-41,46 |
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| Authors: | TONG Xi-nan XU Chao |
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| Affiliation: | (Dept. of Mathematics and Physics, Luoyang Institute of Science and Technology, Luoyang 471003, China) |
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| Abstract: | Against the weaknesses of traditional principal component analysis when it is used to solve nonlinear problems, this paper points out its shortage of “centralized criterion in data un - dimensionalization” and its drawbacks on processing “non - linear” data firstly, puts forward improvement secondly, and then builds up a new synthetic evaluation based on non - linear principal component analysis according to “centralized logarithm” and cluster analysis in the end. The research result shows that the new method can effectually deal with non- linear data. |
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| Keywords: | principal component analysis centralized criterion equalization centralized logarithm cluster analysis |
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