Verhulst Model of Interval Grey Number Based on Information Decomposing and Model Combination. (30th December 2013)

• Record Type: Journal Article
• Authors: Zeng, Bo; Li, Chuan; Chen, Guo; Zhang, Wang
• Other Names: Choi Han H. Academic Editor.
• Is Part Of: Journal of applied mathematics. Volume 2013(2013)
• Publication Date: 2013-12-30
• Subjects: Mathematics -- Periodicals; 519.05
• DOI: 10.1155/2013/472065
• Languages: English
• ISSNs: 1110-757X

Abstract

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.