Study on parameters characteristics of NGM(1,1,k) prediction model with multiplication transformation

To further study the properties of NGM (1,1,k) model and reduce its modeling complexity, we improve this model by putting forward a formula to solve its parameters, building an algorithm for optimizing the NGM (1, 1, k) model in terms of the least modeling error, and designing a key technology for implementation of this algorithm. The optimized NGM(1,1,k) model is built accordingly. The parameter characteristics of the two models under multiple transformations and its effect of the simulation value and forecasting value are analyzed by studying the properties of multiply transformation of the two models. The research finding shows that the modeling accuracies of the two models are all in no relation to multiple transformations. The above results imply that the data level can be reduced; the process of building the two models can be simplified; but the simulative and predictive accuracy of the two models remain unchanged.

[1]  Ozan Çakir,et al.  The grey extent analysis , 2008, Kybernetes.

[2]  Gao Zhiqiang,et al.  A generalization of the GM(1,1) direct modeling method with a step by step optimizing grey derivative's whiten values and its applications , 2004 .

[3]  Peng Zhenghong,et al.  Short‐term forecast of the gas dissolved in power transformer using the hybrid grey model , 2009 .

[4]  Sifeng Liu,et al.  Some results about grey mathematics , 2009, Kybernetes.

[5]  Liu Si,et al.  Optimum Time Response Sequence for GM(1,1) , 2003 .

[6]  Song Zhong.  Center Approach Grey GM(1,1) Model , 2001 .

[7]  J. Deng,et al.  Introduction to Grey system theory , 1989 .

[8]  Okyay Kaynak,et al.  Grey system theory-based models in time series prediction , 2010, Expert Syst. Appl..

[9]  Wang Yi.  GM(1,1) Modeling Method of Optimum the Whiting Values of Grey Derivative , 2001 .

[10]  Yi Lin,et al.  National economic strength as evaluated using grey systems theory , 2007, Kybernetes.

[11]  Xinping Xiao,et al.  Research on generalized non-equidistance GM(1, 1) model based on matrix analysis , 2011, Grey Syst. Theory Appl..

[12]  Yi Lin,et al.  A SYSTEMIC ANALYSIS WITH DATA (II) , 2000 .

[13]  Sifeng Liu,et al.  Research on the multiple transformation property of a series of grey models , 2009, Kybernetes.

[14]  Mu Yong.  An Unbiased GM(1,1) Model With Optimum Grey Derivative′s Whitening Values , 2003 .

[15]  Liu Si-feng.  Research on the affine properties of discrete grey model , 2008 .

[16]  Sifeng Liu,et al.  Discrete grey forecasting model and its optimization , 2009 .

[17]  Xinping Xiao,et al.  Research on the stability of non-equigap grey control model under multiple transformations , 2009, Kybernetes.