具有反馈机制的多级灰色GM(1,N)模型研究及其应用

Study of a multistage grey model GM(1,N) with feedback mechanisms

在多级复杂系统模型的设计中,处理好本层与本层之间、不同层之间因素的关系是模型设计的关键.该文对灰色GM(1,N)模型进行研究,结合复杂系统特点实现了多级灰色GM(1,N)模型的设计.它利用灰色系统理论中对“小样本”、“贫信息”系统处理的优势,再将经典反馈机制引入进来,达到设计多级复杂系统模型的目的.仿真实验表明,该模型能够对多级复杂系统进行准确的描述,并实现了模型因素的灵活调整.

To solve problems in designing complex multistage system models, it is essential to handle relationships in the same layer or between different layers. Based on the grey model GM（1,N）, a multistage grey model GM（1 ,N） was designed to combine the characteristics of the complex systems. While using the advantages of grey system theory for dealing with small samples and poor information, classical feedback mechanism were introduced to establish a complex multistage system model. Simulation results indicate that this model can exactly describe complex multistage systems and effectively adjust factors of the model.