Title :
The study of missing point in GM(1,1) model
Author :
Wen, Kun-Li ; Ting-Cheng Chang ; Wei-Che Chang ; You, Mei-Li
Author_Institution :
Chien-Kuo Inst. of Technol., Chung-Hua, Taiwan
Abstract :
We use the class ratio theorem in grey system theory as a new approach for interpolation for a sequence which is incomplete in the GM(1,1) model. First, the class ratio theorems are presented in detail. Second, according to the class ratio theorem, two kinds of sequences in which there is one missing point are fully discussed, and we use the new approach to build up the criteria to find the missing point in the sequence. Finally two examples are given to show that our method is quite reasonable for finding the missing point in the GM(1,1) model
Keywords :
grey systems; interpolation; sequences; GM(1,1) model; class ratio theorem; grey system theory; incomplete sequence; interpolation; missing point; Equations; Interpolation; Lagrangian functions; Mathematical model; Mathematics; Predictive models; Systems engineering and theory;
Conference_Titel :
Systems, Man, and Cybernetics, 2000 IEEE International Conference on
Conference_Location :
Nashville, TN
Print_ISBN :
0-7803-6583-6
DOI :
10.1109/ICSMC.2000.886528
