灰色GM(1,1)优化模型的进一步优化

IF 1 4区 工程技术 Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Journal of Grey System Pub Date : 2008-06-01 DOI:10.30016/JGS.200806.0006
Huan-Bin Xue, Yong Wei
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引用次数: 3

摘要

本文分析了基于内涵表达的优化GM(1,1)模型存在误差的原因,尽管该模型大大提高了建模精度。然后针对这一问题提出了求解方法,得到了新的GM(1,1)模型,进一步提高了模型精度。新模型严格地证明了白指数律重合的性质,因此它不仅适用于低增长序列,也适用于高增长序列。通过对大量数据的仿真,并与原GM(1,1)模型和基于内涵表达的优化GM(1,1)模型进行比较,发现本文优化后的新模型具有很高的仿真和预测精度。
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A Further Optimization in an Optimized Grey GM (1, 1) Model
This paper analyzes the reason why there is a error in an optimized GM (1,1) based on connotation expression, though it has improved the modeling precision greatly. Then put forward a solution method for this reason, and obtain a new GM (1,1) model which improves the model precision further. The new model has been proven strictly to have the property of white exponential law coincident, so it not only to be suitable for the low growth sequence, but also suitable for the high growth sequence. Through simulation to a large number of data and comparing with the original GM (1,1) model and the optimized GM (1,1) model based on connotation expression, we discovered that the new optimized model in this paper has a very high simulation and forecasting precision.
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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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