On novel grey forecasting model based on non-homogeneous index sequence

被引：162

作者：

Xie, Nai-Ming ^{[1
]}

Liu, Si-Feng ^{[1
]}

Yang, Ying-Jie ^{[2
]}

Yuan, Chao-Qing ^{[1
]}

机构：

[1] Nanjing Univ Aeronaut & Astronaut, Inst Grey Syst Studies, Nanjing 210016, Jiangsu, Peoples R China

[2] De Montfort Univ, Ctr Computat Intelligence, Leicester LE1 9BH, Leics, England

来源：

APPLIED MATHEMATICAL MODELLING | 2013年 / 37卷 / 07期

基金：

中国国家自然科学基金; 国家教育部博士点专项基金资助;

关键词：

Grey system; Grey forecasting model; Discrete; Pure index sequence; Accumulating generation; CONSUMPTION; PREDICTION;

D O I：

10.1016/j.apm.2012.10.037

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

To solve the problem that traditional grey models were constructed on the hypothesis that the original data sequence is in accord with homogeneous index trend rather than non-homogeneous index trend. A novel grey forecasting model based on non-homogeneous index sequence approximately (abbreviated as NDGM) is proposed. It is proved that the models based on homogeneous index sequence are all special cases that of non-homogeneous index sequence. The recursive function of the NDGM model is proposed and the forecasting precision of the model based on pure non-homogeneous index sequence is discussed and the affine properties of the model are further studied. Finally, one numerical case is used to show the effective results of the proposed model. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：5059 / 5068

页数：10

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