An improved Algorithm of Grey Model-GM(1,1) based on Total Least Squares and its application in Deformation Forecast

摘要：

This paper presents an improved algorithm for grey model-GM(1,1) based on total least squares(TLS). As we know that the parameters a and b in grey model-GM(1,1) can be solved by the Least squares method. The LS method is based on an assumption that vector Y contains errors while repeated additive matrix B is accurate in GM(1,1). When we analyze the element of matrix B, the matrix B also contains errors in fact. TLS is the method of fitting that is appropriate when there are errors in both vector Y and matrix B. The calculated results of an example show that the prediction model based on TLS can enhance the prediction accuracy.

作者: Lu Tieding ZHOU Shijian Liu Wei Zhang Liting

作者单位: School of geoscience and geomatics, East China Institute of Technology, Fuzhou , Jiangxi, 344000 Chi Jiangxi Academy of Science,Nanchang,Jiangxi,330029, China and East China Institute of Technology,Fuz School of Electrical Engineering , East China Institute of Technology, Fuzhou , Jiangxi, 344000 Chin Shool of national defence technology , East China Institute of Technology, Fuzhou , Jiangxi, 344000

会议类型: 国际会议

会议名称: 2009 IEEE International Conference on Grey System and Intelligent Services(2009 IEEE灰色系统与服务科学国际会议)

会议地点: 南京

会议语种:英文

页码: 362-366

在线出版日期: 2009-10-20（万方平台首次上网日期，不代表论文的发表时间）