Author(s)

Ruibiao Zou

College of Sciences, Hunan Agriculture University, Changsha, 410128, P.R.China.

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.

GRM Model; Non-Equidistant Interval; Accumulated Generating; Grey System

Zou, R. (2012) A Novel Non-Equidistant Grey GRM(1,1) Model Based on Reciprocal Accumulated Generating. Applied Mathematics, 3, 910-913. doi: 10.4236/am.2012.38135.