Fractional Hausdorff grey model and its properties

被引：167

作者：

Yan Chen ^{[1
]}

Wu Lifeng ^{[1
]}

Liu Lianyi ^{[1
]}

Zhang Kai ^{[1
]}

机构：

[1] Hebei Univ Engn, Coll Management Engn & Business, Handan 056038, Peoples R China

来源：

CHAOS SOLITONS & FRACTALS | 2020年 / 138卷

基金：

中国国家自然科学基金;

关键词：

FHGM(1,1); GM(1,1); Monotonicity; Initial value; SYSTEM;

D O I：

10.1016/j.chaos.2020.109915

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The grey model with the fractional Hausdorffderivative is put forward to enhance the forecasting accuracy of traditional grey model. The proposed model will not be effect by the initial value x((0))(1). The relationship between the error and the order (r) is proved. We also make a comparison among the proposed model with the traditional fractional grey model and the traditional grey model. The comparison results show that the proposed model can improve the traditional grey model. (C) 2020 Elsevier Ltd. All rights reserved.

引用

页数：5

共 29 条

[1] SARIMA damp trend grey forecasting model for airline industry [J].

Bernardo Carmona-Benitez, Rafael ;

Rosa Nieto, Maria .

JOURNAL OF AIR TRANSPORT MANAGEMENT, 2020, 82

[2] An envelopment learning procedure for improving prediction accuracies of grey models [J].

Chen, Chien-Chih ;

Chang, Che-Jung ;

Zhuang, Zheng-Yun ;

Li, Der-Chiang .

COMPUTERS & INDUSTRIAL ENGINEERING, 2020, 139

[3] Time-space fabric underlying anomalous diffusion [J].

Chen, W .

CHAOS SOLITONS & FRACTALS, 2006, 28 (04) :923-929

[4] Estimation of electronic waste using optimized multivariate grey models [J].

Duman, Gazi Murat ;

Kongar, Elif ;

Gupta, Surendra M. .

WASTE MANAGEMENT, 2019, 95 :241-249

[5] Grey modelling based forecasting system for return flow of end-of-life vehicles [J].

Ene, Seval ;

Ozturk, Nursel .

TECHNOLOGICAL FORECASTING AND SOCIAL CHANGE, 2017, 115 :155-166

[6] Grey Lotka-Volterra models with application to cryptocurrencies adoption [J].

Gatabazi, P. ;

Mba, J. C. ;

Pindza, E. ;

Labuschagne, C. .

CHAOS SOLITONS & FRACTALS, 2019, 122 :47-57

[7] Modeling cryptocurrencies transaction counts using variable-order Fractional Grey Lotka-Volterra dynamical system [J].

Gatabazi, R. ;

Mba, J. C. ;

Pindza, E. .

CHAOS SOLITONS & FRACTALS, 2019, 127 :283-290

[8] Geodetic deformation forecasting based on multi-variable grey prediction model and regression model [J].

Kose, Erkan ;

Tasci, Levent .

GREY SYSTEMS-THEORY AND APPLICATION, 2019, 9 (04) :464-471

[9] A new method to mitigate data fluctuations for time series prediction [J].

Li, Chong ;

Yang, Yingjie ;

Liu, Sifeng .

APPLIED MATHEMATICAL MODELLING, 2019, 65 :390-407

[10]

LIU XF, 2019, APPL MATH COMPUT, V1640, P203, DOI DOI 10.1007/978-3-030-27195-4_19

← 1 2 3 →