中南大学学报（自然科学版）2017，Vol.48Issue(10)：2686-2690,5.DOI:10.11817/j.issn.1672-7207.2017.10.018
分数阶累加多变量灰色模型FMGM(1,n)及应用
Multivariable grey model FMGM(1,n) with fractional order accumulation and its application
摘要
Abstract
After analyzing the fractional order AGO and IAGO of single variable, formula of multivariable fractional order AGO was deduced; the multivariable grey model FMGM(1,n) with fractional order accumulation was established; the model parameter estimation based on least square method was derived. By taking fractional order and minimum average relative error as design variable and object function, the optimal model was established and the solution program based in Matlab was written. As natural promotion of single variable model FGM(1,1), multivariable grey model FMGM(1,n) with fractional order accumulation reflected the interaction of variables. At last, the numerical example was given to indicate correctness and effectiveness of the model.关键词
多变量分数阶累加灰色模型FMGM(1,n)模型/优化/最小二乘法/模型参数估计Key words
multivariable grey model FMGM(1/n) with fractional order accumulation/optimization/least square method/model parameter estimation分类
自科综合引用本文复制引用
罗佑新..分数阶累加多变量灰色模型FMGM(1,n)及应用[J].中南大学学报（自然科学版）,2017,48(10):2686-2690,5.基金项目
湖南省"十二五"重点建设学科(湘教发[2011]76)、湖南省教育厅产业化培育项目(15CY008)、湖南省战略性新兴产业科技攻关类项目(2014GK1043)、湖南省高校产学研合作示范基地(湘教通[2014]239)(Project (XJF2011[76]) supported by the Grant of the 12th Five-Year Plan for the Construct Program of the Key Discipline (Mechanical Design and Theory) in Hunan province （湘教发[2011]76）
Project (15CY008) supported by Industrialization Development Project of Technological Achievements of Universities in Hunan Province （15CY008）
Project (2014GK1043) supported by Hunan Major Special Projects of Science and Technology （2014GK1043）
Project (XJT [2014] 239) supported by Cooperative Demonstration Base of Universities in Hunan, "R & D and Industrialization of Rock Drilling Machines") （XJT [2014] 239）
