The modeling mechanism,extension and optimization of grey GM (1, 1) model |
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Affiliation: | School of Science, Wuhan University of Technology, 1040, Heping Road, Wuhan, Hubei Province 430063, People’s Republic of China |
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Abstract: | The modeling mechanism of GM (1, 1) model is studied by using the thought of matrix analysis in this paper, the extension form GGM (1, 1) model based on the fractional order accumulated generating is put forward and its theoretical significance is analyzed. Furthermore, the influence of multiple transformation, translation transformation for the initial value and generating series on model parameters and predictive value are researched, then the quantitative relation among them is deduced and an optimization model and corresponding algorithm in practical modeling are presented. |
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Keywords: | GM (1, 1) model Matrix analysis GGM (1, 1) model Model parameters Predictive value |
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