基于灰色系统建模思想,提出以GM模型、回归模型、灰色代数曲线模型、Verhulst模型等为特款的灰色扩展模型(GSM),通过实例,对GSM(1,2)与GM(1,2)模型的模拟做了对比研究.根据我国1~6次人口普查的主要统计数据,应用GSM(1,2)线性模型进行模拟,其拟合精度令人满意.实例分析表明,GSM有比GM更高的模拟精度和更广泛的应用范围.
Based on the ideas of grey systems modeling,grey extension model (GSM),grey model (GM),regression model(RM),grey algebraical curve model(GAM) and verhulst model(VM) were put forward.With some examples,a comparison between GSM (1,2) and GM (1,2) was made in this paper.Meanwhile,according to the main statistic data of 1-6 times national population census,the linear model was simulated by using GSM(1,2),and the fitting precision was satisfied.The illustrative example was given to show that the simulation precision of GSM was better than that of GM,and had a wide range of applications.