Grey optimized models and their existence theorem
Tong Xiaojun
(Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan, People’s Republic of China)
Chen Mianyun
(Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan, People’s Republic of China)
Li Zhijun
(Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan, People’s Republic of China)
160
Abstract
Based on ideal absolute errors and relative errors, a new grey model‐GMp(1,1) model is presented. The existence problem of its solution is also solved based on a few conditions. Then, MGMp(1,n) model is presented. These optimized models GMp(1,n) and MGMp(1,n) have good anti‐noise property to absolute and relative errors. Examples illustrate that they have very good fitting and forecasting results.
Keywords
Citation
Xiaojun, T., Mianyun, C. and Zhijun, L. (2004), "Grey optimized models and their existence theorem", Kybernetes, Vol. 33 No. 2, pp. 363-371. https://doi.org/10.1108/03684920410514373
Publisher
:Emerald Group Publishing Limited
Copyright © 2004, Emerald Group Publishing Limited