Approach property of interval type-2 fuzzy systems using LM and WT type-reduction methods
Tiechao Wang, Ruyi Yuan, Jianqiang Yi · ICIC express letters. Part B, Applications · 2013
Currently most of type-2fuzzy adaptive contro l(FAC) approaches use the iterative Karnik-Mendel(KM) algorithm in type-reduction (TR), but other TR methods are not often used. This paper applies the Liang-Mendel (LM) method, the Wu-Tan (WT) method and the Nie-Tan (NT) method into a class of uncertain nonlinear single-input single-output (SISO) systems. And we definitely prove that the interval type-2 fuzzy logic systems (IT2 FLSs) using the LM, WT and NT methods are universal approximators, and give the concrete form of fuzzy basis functions of the FLSs. Numerical simulation results demonstrate the difference and the superiority of the performance of the LM, the WT and NT TR methods.