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GM(1,1)模型是灰色系统中最常用的一种模型,该模型采用的建模数据量小,对数据分布特征无特殊要求,应用较为广泛。利用数值积分原理将GM(1,1)模型中累加生成法改为积分生成法,并用双向差分结合等维动态预测原理,建立了等维积分GM(1,1)模型。该模型在预测过程中不断将旧信息剔除,增加新信息进入,实现了数据的及时更新,提高了预测精度。

GM (1,1) model is one of the most commonly used models in the grey system.It requires small quan-tity of data for modeling and has no special request of data distribution features,making it widely applied.The accumu-lative generation in GM (1,1) model is replaced by integral generation on the principle of numerical integration,and with the help of two-way difference combined with dynamic forecasting theory,an equi-dimensional GM (1,1) model is set up.Information is continuously updated in the prediction process,improving the prediction precision.

参考文献

[1] 涂小龙.基于信息修正GM(1,1)模型的黄金价格行情预测[J].有色金属(矿山部分),2012(03):11-14.
[2] 张延利;杨丽.基于改进 GM(1,1)模型的黄金价格预测[J].黄金,2015(7):6-8.
[3] 王惠珍.基于改进灰色系统GM(1,1)模型的成本预测[J].统计与决策,2015(15):83-86.
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