GM(1, 1) with optimized order based on mutual fractional operators

被引：0
作者：
Meng W. [1 ,2 ]
Liu S.-F. [1 ]
Fang Z.-G. [1 ]
Zeng B. [2 ]
机构：
[1] College of Economics and Management, Nanjing University of Aeronautics and Astronautics, Nanjing
[2] Chongqing Key Laboratory of Electronic Commerce & Supply Chain System, Chongqing Technology and Business University, Chongqing
来源：
Kongzhi yu Juece/Control and Decision | 2016年 / 31卷 / 04期
关键词：
Fractional order operator; GM(1,1); Grey prediction model;
D O I：
10.13195/j.kzyjc.2015.0152
中图分类号：
学科分类号：
摘要：
Based on the fractional order grey accumulating generation operator and reducing generation operator, the fractional order grey prediction model is proposed. The even GM(1,1) is a special case of the fractional order grey prediction model with r = 1. Then the particle swarm optimization algorithm for the optimized fractional order of the minimum average relative error is presented. The case study shows that the fractional order operator GM(1,1) with optimized order can achieve better fitting precision than DGM(1,1), GM(1,1) and some other optimized GM(1,1) models. © 2016, Editorial Office of Control and Decision. All right reserved.
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页码：661 / 666
页数：5
相关论文
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