Journal of Systems Engineering and Electronics ›› 2010, Vol. 32 ›› Issue (2): 317-320.

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Nonlinear optimization method of gray GM(1,N) 
model and application

ZHOU Wei1,2, FANG Zhi-geng1,2   

  1. (1. School of Economics and Administration, Nanjing Univ. of Aeronautics and Astronautics, Nanjing 210016, China;2. Gray System Research Inst., Nanjing Univ. of Aeronautics and Astronautics, Nanjing 210016, China)
  • Online:2010-02-03 Published:2010-01-03

Abstract:

The GM(1,N) model in the grey system constructs the linear correlation between various factors, based on the 1AGO that eliminated certain grey character. But it has not obtained the actual utilization for the compulsory linear hypothesis and the insufficient consummation solution method. So that the nonlinear optimization GM(1,N) model including GM(1,N,x(0)1) and GM(1,N,x(1)1) model are put out for these reasons. The new GM(1,N) model’s nonlinear relation is built in the GM(1,N) white equation, and then is resolved by BP neural network. It is proved that two nonlinear new GM(1,N) are just produced from the old GM(1,N) model, and the whole forecast technique was given based on these new models. At last, the new models’ merit is represented by using it to forecast the energy consumption of our country.

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