中文摘要：

根据模型的指数特性以及积分特点,以数据曲线在每个区间[k（i-1）,ki]与坐标轴所围成的梯形面积作为模型背景值z^（1）（ki）与z^（1）（k（i-1））的差值,并对其进行修正,从而达到对传统非等间距GM（1,1）模型进行优化的目的.最后采用实例进行验证,并将结果同其他文献的拟合精度进行对比,从而验证算法的有效性与可行性.

英文摘要：

According to the exponential properties and intergral characteristics of model,used the trapezoidal area surrounded by the interval [k（i-1）,ki] and the axis as the difference of background value z^（1）（ ki） and z^（1）（k（i-1））,then revised it. Thus achieved the goal to optimize the traditional non- equidistant GM（ 1,1） model. We tested the model with real data,and compared the fitting precision with other literatures,the results showed the model＇s feasibility and efficiency in this paper.