Action aggregation and defuzzification in Mamdani-type fuzzy systems
Duc Truong Pham, Marco Castellani · Proceedings of the Institution of Mechanical Engineers Part C Journal of Mechanical Engineering Science · 2002
This paper discusses the issues of action aggregation and defuzzification in Mamdani-type fuzzy systems. The paper highlights the shortcomings of defuzzification techniques associated with the customary interpretation of the sentence connective ‘and’ by means of the set union operation. These include loss of smoothness of the output characteristic and inaccurate mapping of the fuzzy response. The most appropriate procedure for aggregating the outputs of different fuzzy rules and converting them into crisp signals is then suggested. The advantages in terms of increased transparency and mapping accuracy of the fuzzy response are demonstrated.