| 基于函数变换的优化灰色预测模型及其应用 |
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| 引用本文： | 张军,王秋萍,刘素兵.基于函数变换的优化灰色预测模型及其应用[J].青岛科技大学学报,2008,29(2):182-185. |
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| 作者姓名： | 张军 王秋萍 刘素兵 |
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| 作者单位： | 西安理工大学理学院,陕西西安710054 |
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| 摘 要： | 基于函数变换理论,提出了对建模数据进行ax+b(a<0,ax+b>0)变换,理论上证明了这种变换可以有效提高建模数据序列的光滑度。并把此方法应用于我国市均医院床位数的建模中,应用结果表明,该方法所建GM(1,1)模型的精度优于传统GM(1,1)模型的精度,从而拓宽了灰色模型的应用范围。
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| 关 键 词： | GM(1 1)模型 光滑度 函数变换 精度 |
| 文章编号： | 1672-6987(2008)02-0182-03 |
| 修稿时间： | 2007年5月8日 |
Optimization Grey Forecasting Model Based on Function Transformation and Its Application |
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| ZHANG Jun,WANG Qiu-ping,LIU Su-bing.Optimization Grey Forecasting Model Based on Function Transformation and Its Application[J].Journal of Qingdao University of Science and Technology:Natutral Science Edition,2008,29(2):182-185. |
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| Authors: | ZHANG Jun WANG Qiu-ping LIU Su-bing |
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| Abstract: | Based on function transformation theory,the method of ax+b(a<0,ax+b>0)transformation against modeling data is put forward.It has been proved that the smooth degree of modeling data sequence after this transformation can be enhanced.And the method is applied in the model of the number of Chinese per city hospital's beds.The practical application shows that precision of the GM(1,1) model based on the data transformation is better than precision of the traditional GM(1,1) model.This method can widen range of application of grey model. |
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| Keywords: | GM(1 1) model smooth degree function transformation precision |
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