The GM (1,1) Model Based on High Order AGO Generation

Subjects: Mathematics >> Modeling and Simulation submitted time 2021-05-07

倪嘉雨 涂缘

Abstract： In recent years, Grey system theory has been widely used in various fields. Among the Grey Prediction Models, the GM (1,1) model is the core and foundation. However, due to the exponential time response sequence, GM (1,1) model is difficult to simulate the oscillation sequence, and the oscillation sequence can not pass the GM (1,1) pre modeling test. These factors weaken the application of GM (1,1) model. The paper establishes GM (1,1) model for the 1-AGO sequence of oscillation sequence, by using the advantage of monotone sequence simulation of GM (1,1) model. Then, the IAGO operation with correction term is introduced to restore the simulation of oscillation sequence. Finally, an improved GM (1,1) model is established to make up for the defect of the traditional GM (1,1) model in the simulation of oscillation sequence.

Peer Review Status:Awaiting Review

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