Non-equidistant GRM(1,1) Generated by Accumulated Generating Operation of Reciprocal Number and its Application
Applying the modeling method of grey system and accumulated generating operation of reciprocal number for the problem of lower precision as well as lower adaptability in non-equidistant GM(1,1) model, a non-equidistant GRM(1,1) model generated by accumulated generating operation of reciprocal number was put forward. Based on index characteristic of grey model and the definition of integral method, the background value in non-equidistant GRM(1,1) was researched and the discrete function with non-homogeneous exponential law was used to fit the accumulated sequence and optimum formula was given. The formula of background value of GRM(1,1) model can be used in non-equal interval and equal 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.
Keywords: Background value, grey model GRM(1,1) generated by accumulated generating operation of reciprocal number, non-equal interval, accumulation generation operation, grey system
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ABOUT THE AUTHORS
Youxin Luo
His current interests are information science, grey system, mechanics, and optimizing.
Youxin Luo
His current interests are information science, grey system, mechanics, and optimizing.
