A combination forecast network of the Anfisquantum which are suggested in view of the uncertainty of the chaotic time series analysis equation. The qualitative equation and initial condition of the chaotic time series are not related to the network. For improving the ability and accuracy of forecast,the training data is beforehand handled by the network of Anfis, and is then forecasted by the quantum network. The results of the experiment of the chaos time series of the MackeyGlass indicate the Anfisquantum network is characterized by its superior generation ability, and its predictability precision is obviously higher than that of the BP network and that of the quantum network.