Journal of Applied Mathematics

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

Bo Zeng, Chuan Li, Guo Chen, and Wang Zhang

Full-text: Open access

Abstract

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.

Article information

Source
J. Appl. Math., Volume 2013 (2013), Article ID 472065, 8 pages.

Dates
First available in Project Euclid: 14 March 2014

Permanent link to this document
https://projecteuclid.org/euclid.jam/1394808335

Digital Object Identifier
doi:10.1155/2013/472065

Mathematical Reviews number (MathSciNet)
MR3147901

Zentralblatt MATH identifier
06950693

Citation

Zeng, Bo; Li, Chuan; Chen, Guo; Zhang, Wang. Verhulst Model of Interval Grey Number Based on Information Decomposing and Model Combination. J. Appl. Math. 2013 (2013), Article ID 472065, 8 pages. doi:10.1155/2013/472065. https://projecteuclid.org/euclid.jam/1394808335


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