近似非齐次指数序列的DGM(1,1)直接建模法

曾波;刘思峰

系统工程理论与实践 ›› 2011, Vol. 31 ›› Issue (2) : 297-301.

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系统工程理论与实践 ›› 2011, Vol. 31 ›› Issue (2) : 297-301. DOI: 10.12011/1000-6788(2011)2-297
论文

近似非齐次指数序列的DGM(1,1)直接建模法

    曾波1,2, 刘思峰1
作者信息 +

Direct modeling approach of DGM (1,1) with approximate non-homogeneous exponential sequence

    ZENG Bo1,2, LIU Si-feng1
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摘要

优化了模型DGM(1,1)的建模初始条件,讨论并证明了该模型与原始数据在升、降、凹、凸等几何形状方面的吻合性;最后通过算例验证了该模型的有效性及实用性;DGM(1,1)直接建模法对丰富与完善灰色预测模型的理论体系,具有积极的意义.

Abstract

This paper optimized the initial condition of DGM(1,1) model, and discussed and proved the consistency of the novel model and the original data in the aspects of geometric shape with up, down, concave, convex and etc. Ultimately, some examples show the practicability and validity of the novel modeling approach. The new model has a vital significance for enriching and perfecting the theory system of grey prediction model.

关键词

灰色系统理论 / 预测模型 / DGM(1:1)模型 / 直接建模 / 近似非齐次指数序列

Key words

grey system theory / prediction model / DGM (1 / 1) model / direct modeling / approximate non-homogeneous exponential sequence

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曾波 , 刘思峰. 近似非齐次指数序列的DGM(1,1)直接建模法. 系统工程理论与实践, 2011, 31(2): 297-301 https://doi.org/10.12011/1000-6788(2011)2-297
ZENG Bo , LIU Si-feng. Direct modeling approach of DGM (1,1) with approximate non-homogeneous exponential sequence. Systems Engineering - Theory & Practice, 2011, 31(2): 297-301 https://doi.org/10.12011/1000-6788(2011)2-297
中图分类号： N941.5   
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