Research on generalized non‐equidistance GM(1,1) model based on matrix analysis

Grey Systems

Volumn 1, Issue 1, 2011, Pages 87-96

  Xiao, Xinping ^a   Peng, Kunkun ^a  

^a WUHAN UNIVERSITY OF TECHNOLOGY   (China)

Author keywords

Iterative methods; Modelling; Systems theory

Indexed keywords

EID: 80155206681     PISSN: 20439377     EISSN: 20439385     Source Type: Journal    
DOI: 10.1108/20439371111106759     Document Type: Article

References (20)

1. Dai, W. and Li, J. (2005), “Modeling research on non‐equidistance GM(1,1) model”, Systems Engineering‐Theory & Practice, No. 9, pp. 89‐93.
2. Dang, Y., Liu, S. and Liu, B. (2004), “Improvement on GM models”, Journal of Systems Engineering and Electronics, Vol. 15 No. 3, pp. 295‐8.
3. Deng, J. (2002), The Basis of Grey Theory, Huazhong University of Science & Technology, Wuhan.
4. Dong, F. and Tian, J. (2007), “Optimization integrated background value with original condition for GM(1,1)”, Systems Engineering and Electronics, Vol. 29 No. 3, pp. 464‐6.
5. Huang, J. and Zhong, X. (2009), “Generalized accumulation grey model and its optimal algorithm”, Systems Engineering‐Theory & Practice, Vol. 29 No. 6, pp. 147‐56.
6. Jiang, W., Li, X. and Zhao, G. (2003), “Research on the time‐data‐separation of the forecast of unequal interval sequence”, Systems Engineering‐Theory & Practice, No. 1, pp. 68‐72.
7. Li, C. and Dai, W. (2007), “Determinator of the background level in the non‐equidistant GM(1,1) model”, J. Tsinghua Univ. (Sci. &Tech.), Vol. 47, S2, pp. 1729‐32.
8. Li, F., Wang, Z. and Song, Z. (2002), “A new method for grey forecasting model”, Journal of Systems Engineering and Electronics, Vol. 13 No. 3, pp. 1‐7.
9. Liu, W. and Cui, G. (2009), “New method for the estimation of GM(1,1) parameters”, Systems Engineering and Electronics, Vol. 31 No. 2, pp. 471‐4.
10. k) based on niche GA”, Journal of Shandong University of Technology (Sci. & Tech.), Vol. 17 No. 4, pp. 65‐7.
11. Rao, C., Xiao, X., Zhang, X. and Peng, J. (2006), “A GM(1,1) control model with pure generalized AGO based on matrix analysis”, Proceedings of the 6th World Congress on Intelligent Control and Automation, Dalian, pp. 574‐7.
12. Shi, X., Wang, Z. and Zhang, Z. (2006), “GM(1,1) Model with variational parameter for non‐equidistant sequence and its application”, Mathematics in Practice and Theory, Vol. 36 No. 6, pp. 216‐20.
13. Tan, G. (2005), “The structure method and application of background value in grey system GM(1,1) model (α)”, Systems Engineering‐Theory & Practice, No. 5, pp. 125‐32.
14. Wang, C. and Liao, X. (2007), “Novel forecasting method based on grey theory and neural network”, Proceedings of the 3rd International Conference on Intelligent Computing: Advanced Intelligent Computing Theories and Applications with Aspects of Artificial Intelligence, Changsha, pp. 130‐6.
15. Liu, S., Dang, Y. and Fang, Z. (2004), Grey System Theory and its Application, 3rd ed., Science Press, Beijing.
16. Xiao, X. and Li, F. (2007), “Parameter identification of non‐equigap grey prediction model under multiple transformation”, Proceedings of the 4th International Conference on Impulsive and Hybrid Dynamical Systems, Nanning, pp. 2479‐83.
17. Xiao, X. and Mao, S. (2005), “Research on ill‐conditioned problem and modeling precision in GM(1,1) model”, 2005 IEEE International Conference on Systems, Man and Cybernetics, Waikoloa, pp. 622‐7.
18. Xiao, X., Song, Z. and Li, F. (2005), Grey Technology Basis and Its Application, Science Press, Beijing.
19. Xie, N. and Liu, S. (2008), “Research on the affine properties of discrete grey model”, Control and Decision, Vol. 23 No. 2, pp. 200‐3.
20. Zeng, J., Jie, J. and Cui, Z. (2004), Particle Swarm Optimization, Science Press, Beijing.