摘要
根据卷积变换可提高变换序列光滑度的特性和累加生成的机理,对灰色建模中的序列生成方式和GM(1,1)模型加以改进,用线性序列对建模序列作卷积变换,建立带线性时间项的灰色模型GM(1,1,t),实例计算结果表明GM(1,1,t)模型的模拟精度较GM(1,1)模型有较大提高且适用范围更广.
Based on the convolution transformation having the characteristic of enhancing the smooth of the transformation sequence and the Accumulated Generating Operation （AGO） theory, the grey model GM （1,1,t） with linear time term was developed by the convolution transformation with linear sequences to modeling sequences in this paper, which improved the AGO and the grey model GM （1, 1） in grey modeling. The calculated results of examples showed the fitting precision of the GM（1,1,t） was higher than that of the GM（1,1） and the scope of application of the GM（1,1 ,t） was wider than that of the GM（1,1）.
出处
《数学的实践与认识》
CSCD
北大核心
2007年第2期105-109,共5页
Mathematics in Practice and Theory
基金
福建省自然科学基金(Z0516014)
福建省科技三项费用资助项目(k03014)
关键词
累加生成
卷积变换
GM(1.1
t)模型
accumulated generating operation
convolution transformation
grey model GM（1, 1,t）
