The Optimized Multivariate Grey Prediction Model Based on Dynamic Background Value and Its Application

As a tool for analyzing time series, grey prediction models have been widely used in various fields of society due to their higher prediction accuracy and the advantages of small sample modeling. The basic GM (1, N) model is the most popular and important grey model, in which the first “1” stands fo...

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Main Authors: Tongfei Lao, Xiaoting Chen, Jianian Zhu
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2021/6663773
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author Tongfei Lao
Xiaoting Chen
Jianian Zhu
author_facet Tongfei Lao
Xiaoting Chen
Jianian Zhu
author_sort Tongfei Lao
collection DOAJ
description As a tool for analyzing time series, grey prediction models have been widely used in various fields of society due to their higher prediction accuracy and the advantages of small sample modeling. The basic GM (1, N) model is the most popular and important grey model, in which the first “1” stands for the “first order” and the second “N” represents the “multivariate.” The construction of the background values is not only an important step in grey modeling but also the key factor that affects the prediction accuracy of the grey prediction models. In order to further improve the prediction accuracy of the multivariate grey prediction models, this paper establishes a novel multivariate grey prediction model based on dynamic background values (abbreviated as DBGM (1, N) model) and uses the whale optimization algorithm to solve the optimal parameters of the model. The DBGM (1, N) model can adapt to different time series by changing parameters to achieve the purpose of improving prediction accuracy. It is a grey prediction model with extremely strong adaptability. Finally, four cases are used to verify the feasibility and effectiveness of the model. The results show that the proposed model significantly outperforms the other 2 multivariate grey prediction models.
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institution Kabale University
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language English
publishDate 2021-01-01
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spelling doaj-art-b26f3c6ee59a40f4803d7be18ca49cf52025-02-03T06:43:56ZengWileyComplexity1076-27871099-05262021-01-01202110.1155/2021/66637736663773The Optimized Multivariate Grey Prediction Model Based on Dynamic Background Value and Its ApplicationTongfei Lao0Xiaoting Chen1Jianian Zhu2School of Science, Northeastern University, Shenyang 110819, ChinaSchool of Public Administration, Xiangtan University, Xiantan 411100, ChinaSchool of Public Administration, Xiangtan University, Xiantan 411100, ChinaAs a tool for analyzing time series, grey prediction models have been widely used in various fields of society due to their higher prediction accuracy and the advantages of small sample modeling. The basic GM (1, N) model is the most popular and important grey model, in which the first “1” stands for the “first order” and the second “N” represents the “multivariate.” The construction of the background values is not only an important step in grey modeling but also the key factor that affects the prediction accuracy of the grey prediction models. In order to further improve the prediction accuracy of the multivariate grey prediction models, this paper establishes a novel multivariate grey prediction model based on dynamic background values (abbreviated as DBGM (1, N) model) and uses the whale optimization algorithm to solve the optimal parameters of the model. The DBGM (1, N) model can adapt to different time series by changing parameters to achieve the purpose of improving prediction accuracy. It is a grey prediction model with extremely strong adaptability. Finally, four cases are used to verify the feasibility and effectiveness of the model. The results show that the proposed model significantly outperforms the other 2 multivariate grey prediction models.http://dx.doi.org/10.1155/2021/6663773
spellingShingle Tongfei Lao
Xiaoting Chen
Jianian Zhu
The Optimized Multivariate Grey Prediction Model Based on Dynamic Background Value and Its Application
Complexity
title The Optimized Multivariate Grey Prediction Model Based on Dynamic Background Value and Its Application
title_full The Optimized Multivariate Grey Prediction Model Based on Dynamic Background Value and Its Application
title_fullStr The Optimized Multivariate Grey Prediction Model Based on Dynamic Background Value and Its Application
title_full_unstemmed The Optimized Multivariate Grey Prediction Model Based on Dynamic Background Value and Its Application
title_short The Optimized Multivariate Grey Prediction Model Based on Dynamic Background Value and Its Application
title_sort optimized multivariate grey prediction model based on dynamic background value and its application
url http://dx.doi.org/10.1155/2021/6663773
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