A Novel Fractional Accumulative Grey Model with GA-PSO Optimizer and Its Application

The prediction of cyber security situation plays an important role in early warning against cyber security attacks. The first-order accumulative grey model has achieved remarkable results in many prediction scenarios. Since recent events have a greater impact on future decisions, new information sho...

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Main Authors: Ruixiao Huang, Xiaofeng Fu, Yifei Pu
Format: Article
Language:English
Published: MDPI AG 2023-01-01
Series:Sensors
Subjects:
Online Access:https://www.mdpi.com/1424-8220/23/2/636
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author Ruixiao Huang
Xiaofeng Fu
Yifei Pu
author_facet Ruixiao Huang
Xiaofeng Fu
Yifei Pu
author_sort Ruixiao Huang
collection DOAJ
description The prediction of cyber security situation plays an important role in early warning against cyber security attacks. The first-order accumulative grey model has achieved remarkable results in many prediction scenarios. Since recent events have a greater impact on future decisions, new information should be given more weight. The disadvantage of first-order accumulative grey models is that with the first-order accumulative method, equal weight is given to the original data. In this paper, a fractional-order cumulative grey model (FAGM) is used to establish the prediction model, and an intelligent optimization algorithm known as particle swarm optimization (PSO) combined with a genetic algorithm (GA) is used to determine the optimal order. The model discussed in this paper is used for the prediction of Internet cyber security situations. The results of a comparison with the traditional grey model GM(1,1), the grey model GM(1,n), and the fractional discrete grey seasonal model FDGSM(1,1) show that our model is suitable for cases with insufficient data and irregular sample sizes, and the prediction accuracy and stability of the model are better than those of the other three models.
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spelling doaj.art-4bb09eb4da8343438155b20755c999922023-12-01T00:25:01ZengMDPI AGSensors1424-82202023-01-0123263610.3390/s23020636A Novel Fractional Accumulative Grey Model with GA-PSO Optimizer and Its ApplicationRuixiao Huang0Xiaofeng Fu1Yifei Pu2College of Computer Science, Sichuan University, Chengdu 610065, ChinaSchool of Automation, Nanjing University of Science and Technology, Nanjing 211103, ChinaCollege of Computer Science, Sichuan University, Chengdu 610065, ChinaThe prediction of cyber security situation plays an important role in early warning against cyber security attacks. The first-order accumulative grey model has achieved remarkable results in many prediction scenarios. Since recent events have a greater impact on future decisions, new information should be given more weight. The disadvantage of first-order accumulative grey models is that with the first-order accumulative method, equal weight is given to the original data. In this paper, a fractional-order cumulative grey model (FAGM) is used to establish the prediction model, and an intelligent optimization algorithm known as particle swarm optimization (PSO) combined with a genetic algorithm (GA) is used to determine the optimal order. The model discussed in this paper is used for the prediction of Internet cyber security situations. The results of a comparison with the traditional grey model GM(1,1), the grey model GM(1,n), and the fractional discrete grey seasonal model FDGSM(1,1) show that our model is suitable for cases with insufficient data and irregular sample sizes, and the prediction accuracy and stability of the model are better than those of the other three models.https://www.mdpi.com/1424-8220/23/2/636prediction of cyber security situationfractional ordergrey modelGA-PSO
spellingShingle Ruixiao Huang
Xiaofeng Fu
Yifei Pu
A Novel Fractional Accumulative Grey Model with GA-PSO Optimizer and Its Application
Sensors
prediction of cyber security situation
fractional order
grey model
GA-PSO
title A Novel Fractional Accumulative Grey Model with GA-PSO Optimizer and Its Application
title_full A Novel Fractional Accumulative Grey Model with GA-PSO Optimizer and Its Application
title_fullStr A Novel Fractional Accumulative Grey Model with GA-PSO Optimizer and Its Application
title_full_unstemmed A Novel Fractional Accumulative Grey Model with GA-PSO Optimizer and Its Application
title_short A Novel Fractional Accumulative Grey Model with GA-PSO Optimizer and Its Application
title_sort novel fractional accumulative grey model with ga pso optimizer and its application
topic prediction of cyber security situation
fractional order
grey model
GA-PSO
url https://www.mdpi.com/1424-8220/23/2/636
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