A Novel Non-Equidistant Grey GRM(1,1) Model Based on Reciprocal Accumulated Generating  

作　　者：Ruibiao Zou 

机构地区：[1]College of Sciences, Hunan Agriculture University, Changsha, 410128, P.R.China

出　　处：《Applied Mathematics》2012年第8期910-913,共4页应用数学（英文）

摘　　要：Applying the reciprocal accumulated generating and the reconstruction method of GRM(1,1) model’s background value of non-equidistant sequence based on the exponential trait of grey model and the definition of integral for the problem of lower precision as well as lower adaptability in non-equidistant GM(1,1) model, the calculation formulas were deduced and a novel non-equidistant GRM(1,1) model generated by reciprocal accumulated generating was put forward. The grey GRM(1,1) model can be used in non-equidistant interval & equidistant interval time series and has the characteristic of high precision as well as high adaptability. Example validates the practicability and reliability of the proposed model.Applying the reciprocal accumulated generating and the reconstruction method of GRM(1,1) model’s background value of non-equidistant sequence based on the exponential trait of grey model and the definition of integral for the problem of lower precision as well as lower adaptability in non-equidistant GM(1,1) model, the calculation formulas were deduced and a novel non-equidistant GRM(1,1) model generated by reciprocal accumulated generating was put forward. The grey GRM(1,1) model can be used in non-equidistant interval & equidistant interval time series and has the characteristic of high precision as well as high adaptability. Example validates the practicability and reliability of the proposed model.

关 键 词：GRM MODEL Non-Equidistant INTERVAL Accumulated GENERATING GREY SYSTEM 

分 类 号：O1[理学—数学]