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.
Highlights
Gray correlation analysis method is one method to quantitatively describe as well as compare the trend of the development and change of a system[1].Through the determination of the similarity degree of the geometrical shapes between the reference data column and several comparative data columns, the closeness of the correlation is estimated and the correlation degree of curves is reflected
In the development process of one dynamic system, the major influential factors can be analyzed through the sequencing of the correlation degrees
The calculated value of the correlation degree falls on the interval [0, 1]
Summary
Gray correlation analysis method is one method to quantitatively describe as well as compare the trend of the development and change of a system[1].Through the determination of the similarity degree of the geometrical shapes between the reference data column and several comparative data columns, the closeness of the correlation is estimated and the correlation degree of curves is reflected. Through the principal component analysis, some principal components can be found from the complicated relationships of things In this way, a large number of statistical data can be effectively used to carry out the quantitative analysis and further the internal correlation between variables can be revealed, the underlying inspiration of the characters of things and the law of development can be obtained[2]. Specific to the development of telecommunication industry in each region, this paper adopts grey correlation method to explore the major reasons for the differences and find out the solutions to the problems. In this way, the common development of each region can be realized and the fall of the overall level due to certain less developed regions can be avoided. The grey correlation method is an effective method to carry out the principal component analysis on things
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