In this chapter, a stable neuro fuzzy inference system is designed from the multilayer neural network and fuzzy inference system to satisfy the three conditions for the big data learning: (1) It utilizes the numerator of the average defuzzifier instead of the average defuzzifier to be compact, (2) it employs Gaussian functions instead of sigmoid functions to be effective, and (3) it uses a time varying learning speed instead of the constant learning speed to be stable. The suggested technique is applied for the modeling of the crude oil blending process and the beetle population process.