A New DGM(1,1)Model with a Grey Parameter and Its Application  

作　　者：Xin ZENG Jun LIU Fuxiang LIU Hongmei LIU 

机构地区：[1]School of Science,China Three Gorges University,Yichang 443002,China [2]Three Gorges Mathematical Research Center,Yichang 443002,China

出　　处：《Journal of Systems Science and Information》2022年第3期297-308,共12页系统科学与信息学报（英文）

基　　金：Supported by the National Natural Science Foundation of China(11771172)。

摘　　要：In the DGM(1, 1) model modeling process, the influencing factors are uncertain. But the solution of DGM(1, 1) model with uncertain information is unique, which conflicts with the nonuniqueness principle of solution in grey theory. In view of this situation, this paper makes an in-depth analysis of the meaning of grey action quantity β_(2) in DGM(1, 1) model and regards β_(2) as an interval grey number. The maximum possibility whitenization value is given to estimate the kernel of grey number,and the typical possibility function is constructed to describe the possibility of grey number taking different values. A new DGM(1, 1) model with a grey parameter is then proposed, whose simulation results are interval grey numbers. The proposed model is compatible with the DGM(1, 1) model in model structure and simulation results. Finally, the practical example results show the applicability and effectiveness of the proposed model.

关 键 词：DGM(1 1)model non-uniqueness principle of solution interval grey number maximum possibility whitenization value 

分 类 号：N941.5[自然科学总论—系统科学]