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Application of Weighted Grey Model under Different Loss Function Constraints in Settlement Monitoring

WANG Jianying   

  1. Engineering School,Yunnan University of Business Management,Kunming 650106,China
  • Received:2019-09-19 Online:2019-10-31 Published:2019-10-31

Abstract: The weighting method and weight value of the weighted gray model directly affect the reliability of monitoring fitting and prediction.In this paper,the settlement monitoring of goaf is taken as theresearch object,and the weights under the four different loss function constraints are mean absolute error(MAE),square sum error(SSE),mean average relative percent age error(MAPE) and mean square relative percentage error(MSPE).The method reflects the contribution rate of each monitoring value to the model and determines different weighting models.Combined with engineering examples,the feasibility and reliability of the weighted grey model are verified,and the time liness of the model is also reflected.At the same time,through the fitting and prediction comparison,the gray models under the four loss function constraint weighting models can predict short-term  data,but in terms of long-term and effect,MSPE is better.

Key words: weighted grey model-PGM(1, 1), loss function, weight value, fitting, prediction

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