A probabilistic fuzzy logic system for uncertainty modeling

A probabilistic fuzzy logic system (PFLS) is proposed for the modeling and control problems. In addition to the traditional fuzzification, inference engine and defuzzification operation for processing fuzzy information, it uses the probabilistic modeling method to improve the stochastic modeling capability. With a proper three-dimensional membership function, the PFLS could be designed to handle the effect of random noise and stochastic uncertainties in the modeling process. The simulation result shows that the proposed PFLS can treat the uncertainty modeling problem well.