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Journal of Applied Mathematics
Volume 2013, Article ID 472065, 8 pages
http://dx.doi.org/10.1155/2013/472065
Research Article

Verhulst Model of Interval Grey Number Based on Information Decomposing and Model Combination

1Strategical Planning College, Chongqing Technology and Business University, Chongqing 400067, China
2Engineering Laboratory for Detection & Control and Integrated System, Chongqing Technology and Business University, Chongqing 400067, China
3School of Electrical and Information Engineering, The University of Sydney, Sydney, NSW 2006, Australia

Received 5 November 2013; Accepted 7 December 2013

Academic Editor: Han H. Choi

Copyright © 2013 Bo Zeng et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. D. Ju-Long, “Control problem of grey systems,” Systems & Control Letters, vol. 1, no. 5, pp. 288–294, 1982. View at Publisher · View at Google Scholar · View at MathSciNet
  2. A. M. Andrew, “Why the world is grey,” Grey Systems, vol. 2, pp. 112–1116, 2011. View at Google Scholar
  3. S. F. Liu and Y. Lin, Grey Systems Theory and Applications, Springer, Berlin, Germany, 2010.
  4. S. F. Liu, J. Forrest, and Y. J. Yang, “A brief introduction to grey systems theory,” Grey Systems, vol. 2, pp. 89–104, 2012. View at Google Scholar
  5. T. X. Yao, J. Forrest, and Z. W. Gong, “Generalized discrete GM, (1, 1) model,” Grey Systems, vol. 1, pp. 4–12, 2012. View at Google Scholar
  6. B. Zeng, “Research on electricity demand forecasting based on improved grey prediction model,” Journal of Chongqing Normal University (Nature Science), vol. 29, no. 6, pp. 99–104, 2012. View at Google Scholar
  7. J. Cui and B. Zeng, “Study on parameters characteristics of NGM, (1, 1, k) prediction model with multiplication transformation,” Grey Systems, vol. 1, pp. 24–235, 2012. View at Google Scholar
  8. E. Kayacan, B. Ulutas, and O. Kaynak, “Grey system theory-based models in time series prediction,” Expert Systems with Applications, vol. 37, no. 2, pp. 1784–1789, 2010. View at Publisher · View at Google Scholar · View at Scopus
  9. G. J. Liu, H. F. Ke, and J. W. Liu, “Equipment development cost and high precision of prediction based on the grey Verhulst optimization model,” Military Operations Research and Systems Engineering, vol. 25, pp. 52–56, 2011. View at Google Scholar
  10. X. Y. Xue and D. S. Fang, “Grey verhulst model for prediction of subsidence of building with soft soil foundation,” Underground Space, vol. 21, pp. 515–518, 2001. View at Google Scholar
  11. D. H. Li, “Verhulst model to predicate ground displacement and deformation,” Coal Science and Technology, vol. 32, pp. 58–59, 2004. View at Google Scholar
  12. Y. C. Liu, “An isochronous grey Verhulst GM(1, 1) model for certain high building subsidence course,” The Chinese Journal of Geological Hazard and Control, vol. 17, pp. 61–63, 2006. View at Google Scholar
  13. Z. X. Wang, Y. G. Dang, and C. G. Shen, “Improvement on Derivative Item in Grey Verhulst Model,” Statistics & Information Forum, vol. 6, pp. 19–22, 2010. View at Google Scholar
  14. F.-J. Wang, T.-Q. Li, and C.-Z. Yu, “Grey verhulst predictive model of road traffic accidents,” Journal of Traffic and Transportation Engineering, vol. 6, no. 1, pp. 122–126, 2006. View at Google Scholar · View at Scopus
  15. F. S. Zhang, F. Liu, and W. B. Zhao, “Application of grey Verhulst model in middle and long term load forecasting,” Power System Technology, no. 27, pp. 37–40, 2003. View at Google Scholar
  16. C. G. Shen, W. M. Chen, and L. L. Pei, “Optimization of the initial conditions in unbiased grey verhulst model,” Statistics & Information Forum, vol. 5, pp. 3–6, 2011. View at Google Scholar
  17. X. He and W. Z. Wang, “Optimization of grey verhulst model and its application,” Journal of Chongqing Institute of Technology (Natural Science Edition), vol. 14, pp. 173–175, 2012. View at Google Scholar
  18. J. Cui, S. F. Liu, B. Zeng, and M. X. Nai, “Parameters characteristics of grey Verhulst prediction model under multiple transformation,” Control and Decision, vol. 28, pp. 605–608, 2013. View at Google Scholar
  19. Z.-X. Wang, Y.-G. Dang, and S.-F. Liu, “Unbiased grey Verhulst model and its application,” System Engineering Theory and Practice, vol. 29, no. 10, pp. 138–144, 2009. View at Publisher · View at Google Scholar · View at Scopus
  20. D. L. Yang, S. F. Liu, and B. Zeng, “Verhulst model of interval grey number based on kernel and information field,” Control and Decision, vol. 28, pp. 264–268, 2013. View at Google Scholar
  21. B. Zeng, G. Chen, and S. F. Liu, “A novel interval grey prediction model considering uncertain information,” Journal of the Franklin Institute, no. 350, pp. 3400–3416, 2013. View at Google Scholar
  22. B. Zeng and S. F. Liu, “Calculation for Kernel of interval grey number based on barycenter approach,” Transactions of Nanjing University of Aeronautics & Astronautics, vol. 30, pp. 216–220, 2013. View at Google Scholar