An Applied Type-3 Fuzzy Logic System: Practical

Abstract:

In this paper, the main concepts of interval type-2 (IT2), generalized type-2 (GT2), andinterval type-3 (IT3) fuzzy logic systems (FLSs) are mathematically and graphically studied. In

representation approaches of fuzzy sets (FSs), the main differences between IT2, GT2, and IT3 fuzzysets were investigated. For the ?rst time, the simple Matlab Simulink and M-?les by illustrativeexamples and symmetrical FSs are presented for the practical use of IT3-FLSs. The computationswere simpli?ed for the practical use of IT3-FLSs. By the use of various examples, such as onlineidenti?cation, of?ine time series modeling, and a robotic control system, the design of IT3-FLSs iselaborated. The required derivative equations are also presented to design the adaptation laws for therule parameters easily in other learning schemes. Some simulation examples show that the designedM-?les and Simulink work well and result in a good performance