Generalized discrete grey model and its application

被引：0
|
作者：
Zou G. [1 ]
Wei Y. [1 ]
机构：
[1] School of Mathematics and Information, China West Normal University, Nanchong
来源：
Xitong Gongcheng Lilun yu Shijian/System Engineering Theory and Practice | 2020年 / 40卷 / 03期
关键词：
Discrete model; Grey forecast; Grey theory; Prediction accuracy; Simulation accuracy;
D O I：
10.12011/1000-6788-2018-2143-12
中图分类号：
N94 [系统科学]; C94 [];
学科分类号：
0711 ; 081103 ; 1201 ;
摘要：
Based on the discrete grey prediction model, the generalized discrete grey prediction model (GDGM(1, 1) model) is proposed, which includes the common homogeneous and non-homogeneous exponential series model, the order first cumulative parabolic autoregressive model, and the first cumulative time-varying linear model. It is proved that the simulation coincidence of four special sequences is perfect. The variation law of model parameters and simulated values and the invariance of relative errors under the multiplication of numbers are studied. The modeling steps and methods of this model are given, and the simulation and prediction results of DGM(1, 1), NDGM(1, 1), CDGM(1, 1), TDGM(1, 1), NHGM(1, 1, k), GM (1, 1) direct modeling method and this model are compared by examples, the results show that GDGM(1, 1) can improve the accuracy of simulation prediction. © 2020, Editorial Board of Journal of Systems Engineering Society of China. All right reserved.
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收藏
页码：736 / 747
页数：11
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