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Journal of Applied Mathematics
Volume 2013, Article ID 472065, 8 pages
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.


Grey Verhulst models are often employed to simulate the development tendency with the characteristic of saturated process of S curve. However, the uncertainty of interval grey numbers will be increased since the boundaries of interval grey number are extended by the Axiom of nondecreasing grey degree in the existing Verhulst modeling method. In this paper, the interval grey number is divided into two real number parts, that is, “white” and “grey” parts. Then the “white” and “grey” parts are simulated and forecasted by building the grey Verhulst model and DGM (1, 1) model, respectively. To some degree, this method resolves the issue of amplifying the range of interval grey number. Finally, an example is used to compare the simulation performance between the new model and the traditional model, and the results show that the new model is superior to the other model.