摘要
提出了对建立GM(1,1)模型的标准化数据进行幂函数-三角函数cot(xα)(α>0)变换方法,理论上证明了对原始数据序列进行这种函数变换可以有效地提高建模数据序列的光滑度,且比"对数函数"法和"幂函数"法更加有效,拓广了灰色模型的应用范围,实例验证了所建GM(1,1)模型的精度优于"三角函数cot(x)"法所建模型,说明了该方法的有效性。
This paper introduce the method of trigonometric-power function transformation against the modeling standardized data is put forward. It has been proved the oretically that the smooth degree of data sequence can be greatly enhanced by this function method, which turns out to be more effective than logarithmic function method and power function method. So the method can widen the range of application of grey modeling. Example verification indicates the practical result shows the effectiveness of the proposed approach.
出处
《系统工程》
CSCD
北大核心
2008年第9期89-93,共5页
Systems Engineering
基金
国家自然科学家基金资助项目(70473037)
教育部博士学科点基金资助项目(20020287001)
江苏省自然科学基金资助项目(BK2003211)
南京航空航天大学特聘教授和创新群体科研基金资助项目(1009-260812)
关键词
灰色模型
光滑度
函数变换
离散数据序列
Grey Model
Smooth Degree
Function Transformation
Discrete Data Sequence
