基于逐步优化构造新息背景值和倒数累加生成的非等间距多变量新息MGRM(1,n)模型

The Non-equidistant New Information MGRM(1,n)Based on a Step by Step Optimum Constructing New Information Background Value and Accumulated Generating Operation of Reciprocal Number

应用逐步优化和新息建模方法,构造多变量非等间距新息灰色模型MGRM(1,n)的新息背景值,基于倒数累加生成,以数据的第m个分量作为灰色微分方程解的初始条件,建立了多变量非等间距新息模型MGRM(1,n).该新型模型不仅适合于等间距建模,也适合于非等间距建模,拓广了灰色模型的应用范围,有效地提高了模型的拟合精度和预测精度.实例证明了所建模型的实用性与可靠性.

Applying a step by step optimum and new information modeling method to construct new information background value of multi-variable non-equidistance new information Grey model MGRM（1,n）,based on accumulated generating operation of reciprocal number,taking the mcomponent of each variable as initial value of response function,the multi-variable non-equidistance new information Grey model MGRM（1,n）was built.The proposed model can be used to build model in non-equal interval equal interval time series,enlarges the scope of application,and advances the model＇s fitting precision and prediction precision.Example validates the practicability and reliability of the proposed model.