To study raw series of non-homogeneous grey exponent law, this paper models the raw series without accumulating generator operation, optimizes derivative, and fits the raw series by non-homogeneous exponential function. At the same time, the paper has widened the range of application from homogeneous exponential function to non-homogeneous exponential function effectively and avoids the problem that accumulating generator operation may lower the exponent law. This method simplifies the computation steps, and is more easily modeling. From the proof and examples, the model in this paper has great advantage in simulation and prediction precision.
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