Partial Grey Model and It's Diagonal Transformation

作者：Liu Xin^*; He Zhongshi; Chen Haizhu

来源：Journal of Grey System, 2011, 23(3): 229-242.

• Grey model
• Partial differential equation
• Partial grey model
• Matrix series
• Diagonal transformation

This paper puts forward a new modeling principle named partial grey model (PGM for short), based on the partial differential equation and grey model. Then, the diagonal transformation partial grey model (dtPGM) is proposed based on the principle of partial grey modeling, which is to transform matrix series through diagonal transformation to reduce calculation and optimize the result. An illustrative example is adopted for comparing the performance between dtPGM and the GM(1,1) rolling model. Results show that dtPGM model has higher accuracy than RGM and GM model when modeling for the long data sequence.

• 出版日期2011
• 单位重庆大学