GM(1,1)模型预测精度研究

IF 1 4区 工程技术 Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Journal of Grey System Pub Date : 2009-12-01 DOI:10.30016/JGS.200912.0005
Zhonggang Zheng, Chuan-min Mi
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引用次数: 2

摘要

传统的GM(1,1)模型预测精度研究只考虑拟合误差,没有考虑原始数据精度的影响。因此,它既不全面,也不科学。预测误差来自两个方面:1。与数据精度无关的建模拟合误差;2. 数据变换产生的累积误差与数据精度有关。本文利用误差传递和误差综合理论,考虑灰数的特点,建立了GM(1,1)预测精度模型,并论证了该精度模型的科学性和有效性,最后给出了一个算例来证明该模型的有效性。
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Research on Prediction Accuracy of GM (1, 1) Model
In tradition studies on prediction accuracy of GM (1, 1) model, only consider fitting error, without considering impact from accuracy of original data. Thus it is not comprehensive or scientific. Prediction error results from two sides: 1. error from modeling fitting which is irrelative to data accuracy; 2. accumulating error from data transformation which is relative to data accuracy. In this paper, by using error transfer and error synthesis theories, and considered the characteristics of grey number, we established GM (1, 1) prediction accuracy model, and then we demonstrated scientific and effectiveness of accuracy model, in the end, an example to prove that this model given.
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来源期刊
Journal of Grey System
Journal of Grey System 数学-数学跨学科应用
CiteScore
2.40
自引率
43.80%
发文量
0
审稿时长
1.5 months
期刊介绍: The journal is a forum of the highest professional quality for both scientists and practitioners to exchange ideas and publish new discoveries on a vast array of topics and issues in grey system. It aims to bring forth anything from either innovative to known theories or practical applications in grey system. It provides everyone opportunities to present, criticize, and discuss their findings and ideas with others. A number of areas of particular interest (but not limited) are listed as follows: Grey mathematics- Generator of Grey Sequences- Grey Incidence Analysis Models- Grey Clustering Evaluation Models- Grey Prediction Models- Grey Decision Making Models- Grey Programming Models- Grey Input and Output Models- Grey Control- Grey Game- Practical Applications.
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