通过重构一个表达形式简单的背景值计算公式，使得GM（1，1）模型能通用于等间距序列和非等间距序列，从而达到了扩大GM（1，1）模型应用范围的目的，同时仍保持了GM（1，1）建模简单易行的显著优点．实例说明，重构的背景值计算公式用于非等间距序列有很高的拟合和预测精度．

In this paper, a simple calculating formula of background value is reestablished. The formula can be used to established GM (1, 1) medel of equidistance series and non-equidistance series, and the application range of GM (1 , 1) model is extended. Meantime, the advantages that GM (1, 1 )medel can be established simply and easily are retaincd. Examples show that the new formula to calculate background value of non-equidistance series makes GM (1, 1) medel have a very high fitting and forecastingprecision.