A comparison of three methods for computing the center of gravity defuzzification

In this article three methods are presented to perform the center of gravity defuzzification method: one well known method, the discretisation method, and two new methods, the slope-based method and the modified transformation function method. The methods are worked out for trapezoidal membership functions forming a fuzzy (Ruspini) partition. Experimental results show that the newly introduced methods exhibit excellent accuracy at an extremely low computational cost compared to the widely applied discretisation method.