提出了以向前差商和向后差商的优化加权平均值作为灰导数白化值建立 GM( 1 ,1 )的方法 ,证明了该建模法具有线性变换一致性 .计算实例表明该建模法具有较高的建模精度.

In this paper, we put forward a GM(1,1) modeling method by taking the optimum weighted averages of ahead difference quotient and back difference quotient as the grey derivative whiting values, prove that the new method have the linear transformation consistency, and show, by a practical example, that the new method have higher precision.