Title :
Analysis and design of monotonic type-2 fuzzy inference systems
Author :
Li, Chengdong ; Yi, Jianqiang ; Zhao, Dongbin
Author_Institution :
Lab. of Complex Syst. & Intell. Sci., Chinese Acad. of Sci., Beijing, China
Abstract :
The prior knowledge-monotonicity property-is helpful for system analysis, modeling and design, especially when no specific physical structure knowledge about systems is available. This paper presents how to use interval type-2 fuzzy logic systems (IT2FLSs) to incorporate the monotonicity property into system design. First, we present sufficient conditions on the parameters of IT2FLSs to ensure the monotonicity between the inputs and outputs of IT2FLSs. Then, we transform the design of monotonic IT2FLSs to the least squares problem with linear-inequality constraints. At last, simulations are given to show the usefulness of the monotonicity property and the advantages of monotonic IT2FLSs under noisy circumstances.
Keywords :
fuzzy logic; fuzzy set theory; inference mechanisms; interval type-2 fuzzy logic systems; least squares problem; linear-inequality constraints; monotonic type-2 fuzzy inference systems; monotonicity property; sufficient conditions; system analysis; system design; system modeling; Control systems; Engines; Fuzzy logic; Fuzzy sets; Fuzzy systems; Least squares methods; Sufficient conditions; System analysis and design; System identification; Water heating;
Conference_Titel :
Fuzzy Systems, 2009. FUZZ-IEEE 2009. IEEE International Conference on
Conference_Location :
Jeju Island
Print_ISBN :
978-1-4244-3596-8
Electronic_ISBN :
1098-7584
DOI :
10.1109/FUZZY.2009.5277084
