加权均值GM(1,1)模型及应用

Weighting Mean Value Generating GM(1,1) Model and Its Applications

通过数据处理,寻求一种改进灰色系统GM(1,1)模型的方法 文中首先论证了加权均值生成的若干相关性质,然后将加权均值生成法运用于灰色系统GM(1,1)模型的建模过程 计算结果表明,加权均值GM(1,1)模型比传统的GM(1,1)模型有所改进,精度得到提高 并将改进后的模型应用于应力集中问题,也取得了较好的效果 这表明,加权均值GM(1,1)

The paper is concerned with a kind of improvement of gray system GM(1, 1) by method of data processing. Firstly, several relevant properties of weighting mean value is proved. Then weighting mean value generating is applied to the modeling of gray system GM(1, 1). Calculation result indicates that weighting mean value GM(1, 1) model is improved compared to traditional GM(1, 1) and the precision is increased. When the new model is applied to the stress concentration, better result is obtained. This indicates that weighting mean value GM(1, 1) model has better applicability.