Membership function generator based on bit-shift operation for self-organizing relationship (SOR) network

A 2−r shape of a membership function generator is presented. The proposed membership function generator requires a bit-shifter and a NOR operation only, and thus suits digital hardware implementation well. A fast defuzzification method employing active units is also presented. It reduces a calculation cost for the defuzzification. In this paper, we have successfully applied proposed methods to a self-organizing relationship network. Simulation results show that the proposed method has as good and approximation ability of nonlinear functions as the ordinary method.