Approximation properties of fuzzy systems for multi-variables functions. (English) Zbl 1222.41023
Summary: For the multi input-single output (MISO) case, we prove the universal approximation of the fuzzy systems with the kernel-shaped fuzzy sets of if part to not only for the given multi-variables functions but also for their first order derivatives. Specially, some estimations of the uniform approximation rates are given.
MSC:
| 41A30 | Approximation by other special function classes |
| 65D15 | Algorithms for approximation of functions |
| 94D05 | Fuzzy sets and logic (in connection with information, communication, or circuits theory) |
| 60G35 | Signal detection and filtering (aspects of stochastic processes) |
