In this paper, the problem of learning in big data is considered. To solve this problem, a new algorithm is proposed as the combination of two important evolving and stable intelligent algorithms: the sequential adaptive fuzzy inference system (SAFIS), uniform stable backpropagation algorithm (SBP). The modified sequential adaptive fuzzy inference system (MSAFIS) is the SAFIS with the difference that the SBP is used instead of the Kalman filter for the updating of parameters. The SBP has the advantage that is obtains a better learning than the Kalman filter in big data. The effectiveness of the studied methods is verified by two experiments.