GM(1,1)模型的背景值构造方法和应用(Ⅱ)  

The Structure Method and Application of Background Value in Grey System GM(1,1) Model (Ⅱ)

作　　者：谭冠军[1] 

机构地区：[1]中南工业大学机电工程学院,湖南长沙410083

出　　处：《系统工程理论与实践》2000年第5期125-127,132,共4页Systems Engineering-Theory & Practice

摘　　要：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.

关 键 词：GM(1 1)模型 背景值构造方法 非等间距 

分 类 号：N94[自然科学总论—系统科学]