The Application of the Grey Correlation Method in the Principal Component Analysis

Abstract:

To solve the shortcoming of the traditional principal component analysis in term of the processing of nonlinear data, this paper puts forward one principal component analysis method based on the grey correlation method. In face of the multiple indexes comprehensive evaluation problems, this paper establishes the evaluation model by aid of the grey correlation method and by calculating the comprehensive correlation degree of each evaluation index to find out the major factors affecting the problems. This paper aims at apply this method to evaluate the development of the telecommunication industry in various regions all over the country and to explore the major reason for the differences. The results show that this method can comprehensively considerate the various factors of the evaluation problem, which not only avoids the subjectivity of the single factor but also makes the analysis process more reasonable and objective. Also the analysis results can accurately reflect the differences between various factors. Gray correlation analysis method has a low re-quirement on the linearity and regularity of the original data and there is no case where the quantitative result is inconsistent with the qualitative analysis result.

• Periodical: Advanced Engineering Forum (Volumes 6-7)
• Pages: 676-681
• DOI: https://doi.org/10.4028/www.scientific.net/AEF.6-7.676
• Online since: September 2012
• Authors: Bao Ping Chen
• Keywords: Compositive Correlative Degree, Gray Correlative Analysis, Principal Component Analysis (PCA)

References

[1] Dang Yaoguo Liu Sifeng&Wang Zhengxin . (2009) Model on gray prediction and decision model . Beijing: Science Press.

[2] Wang Huiwen，Li Yan&Guan Rong. ( 2011) A Comparison Study of Two Methods for Principal Component Analysis of Interval Data. Journal of Beijing University of Aeronautics and Astronautics( Social Sciences Edition), 7 , 86-89.

[3] FANG Fang，TANG Wu-xiang & CHENG Gui-zhi. (2011) Performance evaluation of beijing innovative enterprises based on principal component analysis . Journal of Beijing Information Science and Technology University, 8, 89-94.

[4] ZHANG Jingyu，HU Xiaohua，LIN Xiao. (2011)Research on The Financial Revenue of Hainan ProvinceBased on the Principal Component Analysis. Journal of Hainan Normal University（Natural Science）, 9, 260-264.

[5] Liu Sifeng&Dang YaoGuo . (2009)Grey System on dealing with the theory and pratical applications . Beijing: Social Sciences Edition.

[6] Sun Lei . (2011)Comparison between Performance of Principal Component Analysis and Fuzzy Analysis in Water Quality Evaluation. ENVIRONMENTAL SCIENCE AND MANAGEMENT, 8, 178-181.