Name
Abstract | ||
|---|---|---|
Fuzzy systems are excellent approximators of known functions or for the dynamic response of a physical system. We propose a new approach to approximate any known function by a Takagi–Sugeno–Kang fuzzy system with a guaranteed upper bound on the approximation error. The new approach is also used to approximately represent the behavior of a dynamic system from its input–output pairs using experimental data with known error bounds. We provide sufficient conditions for this class of fuzzy systems to be universal approximators with specified error bounds. The new conditions require a smaller number of membership functions than all previously published conditions. We illustrate the new results and compare them to published error bounds through numerical examples. |
Year | DOI | Venue |
|---|---|---|
2012 | 10.1109/TSMCB.2011.2174151 | IEEE transactions on systems, man, and cybernetics. Part B, Cybernetics : a publication of the IEEE Systems, Man, and Cybernetics Society |
Keywords | Field | DocType |
fuzzy set theory,dynamic response,universal approximators,approximation theory,approximation error bound,physical system,takagi sugeno kang fuzzy system,fuzzy takagi–sugeno–kang (tsk) systems,fuzzy systems,excellent approximators,modeling,approximation error,tsk fuzzy function approximators | Function approximation,Upper and lower bounds,Computer science,Control theory,Fuzzy set,Artificial intelligence,Fuzzy control system,Fuzzy number,Mathematical optimization,Fuzzy logic,Approximation theory,Machine learning,Approximation error | Journal |
Volume | Issue | ISSN |
42 | 3 | 1941-0492 |
Citations | PageRank | References |
16 | 0.70 | 10 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Assem H. Sonbol | 1 | 59 | 2.29 |
| Mohammed Sami Fadali | 2 | 38 | 2.43 |
| Saeed Jafarzadeh | 3 | 98 | 5.78 |