灰色动态模型的拓广、严格微分拟合及应用

Extending、Strict Differential Fitting and Application of Grey Dynamic Model

本文探讨了灰色动态模型ＧＭ（１，１）的严格拟合及拓广等问题，给出了更具一般性的灰色动态拓广模型ＥＧＭ（１，１）的严格微分拟合建模法．本文所给建模方法根除了现有灰色微分拟合法存在的固有误差，拓广了一阶单变量灰色动态模型的应用范围．文后应用实例表明，本文提出的建模方法具有令人满意的效果．

This paper discusses the problems of extending and strict fitting of the grey dynamic model GM(1, 1 ), and gives a strict differential fitting method for building the extended grey dynamic model EGM(1, 1).This modelling method completely removes the intrinsic errors of the existing grey differential fitting methods, and extends the application range of GM(1, 1). The application examples given in the end of this paper show that the modelling method is satisfactory.