摘要
本文提出采用反向累加的方式对原始数据进行处理,并在整数阶的基础上将其推广到分数阶领域,以分数阶反向累加生成算子和分数阶反向累减生成算子为基础,建立分数阶反向累加Verhulst模型,并应用实例与分数阶反向累加GM(1,1)模型作对比,检验模型模拟误差.相关结果显示,相较于传统Verhulst模型与分数阶反向累加GM(1,1)模型,分数阶反向累加Verhulst模型的数据拟合精度较高.
This paper proposes to process the original data in a reverse-accumulation manner,and generalizes it to the fractional domain on an integer-order basis,based on fractional-order inverse-accumulationgenerating operators and fractional-order inverse-reduction-generating operators.A fractional-order inverse cumulative Verhulst model was established,and the application examples were compared with fractional order inverse cumulative GM(1,1)model to test the model simulation error.The correlation results showed that compared with the traditional Verhulst model and fractional order inverse cumulative GM(1,1)model,the accuracy of the data fitting of the fractional-order inverse cumulative Verhulst model is high.
作者
王建宏
朱彤
张楠
余若楠
WANG Jianhong;ZHU Tong;ZHANG Nan;YU Ruonan(School of Sciences,Nantong University,Nantong 226019,China)
出处
《系统工程理论与实践》
EI
CSSCI
CSCD
北大核心
2019年第12期3262-3268,共7页
Systems Engineering-Theory & Practice
基金
教育部产学合作协同育人计划项目(201801235001,201802151037)
南通大学博士启动项目(17B05)~~
