Title :
The discussions of class ratio for AGO algorithm in grey theory
Author :
Wen, Kun-Li ; Dai, Jiang-Whai ; Chang, Ting-Cheng ; Tong, Chia-Chang
Author_Institution :
Dept. of Electr. Eng., Chien-Kuo Inst. of Technol., Taiwan
Abstract :
In the grey theory, the class ratio plays a very important role in deciding the accuracy of a prediction model. The authors first review some of the previous research outcomes of class ratio. Second, we not only present a sufficient condition for the convergence of the AGO algorithm (Accumulated Generating Operation Algorithm), which was derived by J.L. Deng (1989), and the necessary condition for the convergence of the AGO algorithm, which was derived by K.L. Wen (2000), but also point out oversights. Finally, we achieve the task of establishing a necessary and sufficient condition for the class ratio to assure the convergence of the AGO algorithm in the analysis field of the GM (1, 1) model
Keywords :
grey systems; modelling; theorem proving; AGO algorithm convergence; Accumulated Generating Operation Algorithm; class ratio; grey theory; necessary condition; prediction model; sufficient condition; Accuracy; Algorithm design and analysis; Convergence; Equations; Mechanical engineering; Predictive models; Sufficient conditions; Uncertainty;
Conference_Titel :
Systems, Man, and Cybernetics, 2001 IEEE International Conference on
Conference_Location :
Tucson, AZ
Print_ISBN :
0-7803-7087-2
DOI :
10.1109/ICSMC.2001.969779
