摘要
在 GM( 1 ,1 )直接建模方法、GM( 1 ,1 )逐步优化直接建模方法基础上 ,提出了一种适用于任意时距灰指数单序列的逐步优化直接建模方法 .证明了 GM( 1 ,1 )逐步优化直接建模方法的收敛速度是线性的 .证明了新方法具有升 (降 )凹 (凸 )一致性、线性变换一致性 .计算实例表明 ,它具有渐近白指数律重合性 .
Based on the GM(1,1) direct modeling method and the step by step optimum direct modeling method of GM(1,1) , we put forward a new step by step optimum direct modeling method for the arbitrary time distance grey exponential sequence, prove that the convergence rate of the step by step optimum direct modeling method of GM(1,1) is linear, and the new method have the monotone consistency, convex consistency, and linear transformation consistency. Finaly there are indication that the new method have gradual approaching white exponential law coincidence property by calculative examples.
出处
《系统工程理论与实践》
EI
CSCD
北大核心
2003年第2期120-124,共5页
Systems Engineering-Theory & Practice
基金
国家自然科学基金 ( 70 2 71 0 0 6
60 0 75 0 1 3)
河北省自然科学基金 ( 60 1 31 2 )
