| 基于复合函数变换的GM(1,1)模型及其应用 |
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| 引用本文： | 张军,姚贵平,吴国栋,王海龙.基于复合函数变换的GM(1,1)模型及其应用[J].内蒙古农业大学学报(自然科学版),2011,32(3):304-308. |
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| 作者姓名： | 张军 姚贵平 吴国栋 王海龙 |
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| 作者单位： | 内蒙古农业大学理学院,呼和浩特,010018 |
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| 基金项目： | 内蒙古农业大学教学改革研究项目资助 |
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| 摘 要： | 基于函数变换理论,本文提出了对建模数据进行复合函数变换,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国内人均生产总值的建模中,应用结果表明,该方法所建模型的精度优于传统GM(11,)模型和对数函数变换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 国内人均生产总值 |
GREY FORECASTING MODEL BASED ON COMPOSITE FUNCTION TRANSFORMATION AND ITS APPLICATION |
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| ZHANG Jun,YAO Gei-ping,WU Guo-dong,WANG Hai-long.GREY FORECASTING MODEL BASED ON COMPOSITE FUNCTION TRANSFORMATION AND ITS APPLICATION[J].Journal of Inner Mongolia Agricultural University(Natural Science Edition),2011,32(3):304-308. |
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| Authors: | ZHANG Jun YAO Gei-ping WU Guo-dong WANG Hai-long |
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| Institution: | ZHANG Jun,YAO Gei-ping,WU Guo-dong,WANG Hai-long(School of Science,Inner Mongolia Agricultural University,Hohhot,010018,China) |
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| Abstract: | In this paper,based on function transformation theory,the method of 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 Chinese domestic pre capital GDP.The practical application shows that the GM(1,1) model based on composite function transformation is better than the traditional GM(1,1) model and GM(1,1) model based on logarithm function transformation in ... |
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| Keywords: | GM(1 1) model smooth degree function transformation precision domestic pre capital GDP |
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