JACIII Vol.12 No.3 pp. 249-253
doi: 10.20965/jaciii.2008.p0249


An Approach to Improve Estimation Performance of GM(1,1) Model

Cheng-Hsiung Hiseh, Ren-Hsien Huang, and Ting-Yu Feng

Department of Computer Science and Information Engineering, Chaoyang University of Technology, 168 Jifong E. Rd., Wufong Township Taichung County, Taiwan 41349

April 22, 2007
September 30, 2007
May 20, 2008
grey system, GM(1,1) model, data fitting, forecasting, estimation
In this paper, we present an approach to improve estimation performance of GM(1,1) model. It consists of three stages in the GM(1,1) modeling: the preprocessing 1-AGO (first-order accumulated generating operation), first-order difference equation, and 1-IAGO (first-order inverse accumulated generating operation). Note that the solution of first-order difference equation is of exponential form. Therefore, it is assumed that the data after 1-AGO is of exponential-like form. However, in many cases the 1-AGO preprocessed data may not have an exponential-like form. Consequently, an inaccurate modeling results and thus poor performance for GM(1,1) model. Based on the observation, we replace the first-order difference equation in the GM(1,1) modeling with a polynomial to relieve the requirement of exponential-like form in the 1-AGO preprocessed data. By this doing, the estimation performance of GM(1,1) model is improved. Through examples, the proposed approach is justified. As expected, the simulation results indicate that the proposed approach outperforms the conventional GM(1,1) model in the given fitting and forecasting examples.
Cite this article as:
C. Hiseh, R. Huang, and T. Feng, “An Approach to Improve Estimation Performance of GM(1,1) Model,” J. Adv. Comput. Intell. Intell. Inform., Vol.12 No.3, pp. 249-253, 2008.
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