下三角参数矩阵优化模型及应用

Lower Triangular Parameter Matrix Optimization Grey Model and Application in Ceramic Predection

为了克服灰色模型是整体的一种函数形式,并很难保证某些局部误差比较小的缺点,建立下三角参数矩阵优化灰色模型。综合样条函数的局部性质和原始数据的参数化变换,利用优化理论得到参数,再通过逆变换得到模拟值。实例表明:下三角参数矩阵优化灰色模型比其它灰色模型所得到的预测精度更高,并可推广应用。

In order to overcome the grey model is a function of the overall form,and it is difficult to ensure that the local error is relatively small,lower triangular parameter matrix optimization grey model is established,that synthesized local nature of the spline function and parametric transformation of raw data.Parameters are obtained through optimization theory,the simulated values are got through the inverse transform.Examples show that the prediction accuracy that lower triangular parameter matrix optimization grey model is got to more accurate than other grey model,and the model＇s application can be promoted.