A Novel Stochastic Grey Model Construction and Analysis

Abstract

In reality, there are systems which always face with information volume is unsure, data volume is not enough, and mathematical model explanation is inaccurate. Grey system is a useful tool to process these kinds of problems. In the grey model, one-order or high order differential equations are always used for system model. Meanwhile, stochastic differential equation or stochastic model can be used for describing the complex system under the disturbed condition by random factors. Considering the advantage of stochastic grey model, the stochastic grey model with perturbations is researched; the form and basic analysis of stochastic grey model were discussed in this paper. Compared with classical grey model, stochastic grey model can reveal the inner features of the sequence developing and show more information for uncertainties reflected by random influences in the complex data.