Multi-variable grey model and application based on synthetic integrated factors

Social and economic system is a multilevel and nonlinear complicated system affected by multifactors with grey characteristics. Currently existing data are short-term, incomplete or fluctuated, which makes grey forecast method attract more attention. On the basis of grey incidence, integrate the factors with the same incidence level to a factor with no magnitude. By taking incidence value as weight to normalize sequence data, set up multivariable grey model to forecast, which can solve the problem of grey factors selection. The synthetic integrated model has better precision and fitting degree. Case studies indicate that better forecast results can be obtained.