灰色代数曲线模型

The Grey Algebraical Curve Model

本文基于灰色系统理论创始人邓聚龙教授的灰色建模思想,提出了灰色系统建模理论的又一种模型—代数曲线模型(简称GAM模型,Grey Algebraicalcurve Model)。灰色代数曲线模型GAM可克服灰色微分方程模型(即邓聚龙教授提出的模型,称为Grey Medel,简称GM)对处理多元非线性系统的不足。根据中值定理,GAM可以代替GM。实例分析表明,在某些问题中,GAM有比GM更高的模拟精度。

In view of the thought of grey model-building founded by Professor Deng Julong, this paper raises another style of model for the theory of grey system model-building ——The Grey Algebraical Curve Model,or GAM in abbreviation.It overcomes the deficiency of Deng′s Grey Differential Equation Model,or abbreviated as GM,in dealing with the polybasic non-linear system. In accordance with the theorem of median,GM can be substitued by GAM,and indicated by practical analysis that GAM is provided with higher precision in simulation than GM does。