摘要
在GM (1,1)直接建模法以差商作为灰导数白化值的基础上 ,提出了一种逐步优化灰导数白化值的方法 .结果表明 ,这一方法不仅保持了原方法的升 (降 )凹 (凸 )一致性、线性变换一致性 ,而且具有渐近白指数律重合性和线性收敛速度 .弥补了原方法不具有白指数律重合性的缺陷 ,突破了当发展系数的绝对值较大时GM(1,1)不能应用的禁区 。
Based on the quotient of difference being the grey derivative's whitening values in the GM(1,1) direct modeling method, direct modeling method of GM(1,1) with a step by step optimum grey derivative's whiting values is put forward. The new method has monotone consistency, convex consistency, linear transformation consistency, gradually approaching white exponential law coincidence property and linear convergence rate. A defect that the old method has not the white exponential law coincidence property is remedied. The restricted zone of using GM(1,1) is broken while the absolute value of the development coefficient is a bigger number and improve the GM(1,1) model's precision.
出处
《华中科技大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2001年第3期54-57,共4页
Journal of Huazhong University of Science and Technology(Natural Science Edition)
基金
国家自然科学基金资助项目!(6 98740 18
79970 0 2 5 )
