Title :
The monotonicity and convexity of unnormalized interval type-2 TSK Fuzzy Logic Systems
Author :
Wang, Tiechao ; Yi, Jianqiang ; Li, Chengdong
Author_Institution :
Inst. of Autom., Chinese Acad. of Sci., Beijing, China
Abstract :
This paper applies prior knowledge - monotonicity and convexity - to a Single-Input-Single-Output (SISO) un-normalized interval type-2 Takagi-Sugeno-Kang (TSK) Fuzzy Logic System (FLS). Sufficient conditions are provided to guarantee its monotonicity and convexity with respect to its input, respectively. The derived monotonic conditions focus on a zeroth-order TSK fuzzy model. Also, the corresponding proofs for the convex conditions of both the zeroth-order and first-order TSK fuzzy models are given, respectively. For the zeroth-order fuzzy systems, simulation examples demonstrate the validity of the theorems.
Keywords :
fuzzy logic; SISO system; Takagi-Sugeno-Kang fuzzy logic system; single-input-single-output system; unnormalized interval type-2 TSK fuzzy logic systems; zeroth-order TSK fuzzy model; Automation; Computational complexity; Electronic mail; Fuzzy logic; Fuzzy sets; Fuzzy systems; Input variables;
Conference_Titel :
Fuzzy Systems (FUZZ), 2010 IEEE International Conference on
Conference_Location :
Barcelona
Print_ISBN :
978-1-4244-6919-2
DOI :
10.1109/FUZZY.2010.5584222
