Approximation capability of regular fuzzy neural networks to continuous fuzzy functions |
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| Authors: | Puyin Liu Hao Wang |
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| Affiliation: | (1) Department of System Engineering and Mathematics, National University of Defence Technology, 410073 Changsha, China |
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| Abstract: | The approximation capability of regular fuzzy neural networks to fuzzy functions is studied. When a is a nonconstant, bounded and continuous function on R, some equivalent conditions are obtained, with which continuous fuzzy functions can be approximated to any degree of accuracy by the four-layer feedforward regular fuzzy neural net-
works . Finally a few examples of such fuzzy functions are given. |
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| Keywords: | regular fuzzy neural networks universal approxilnation cut-preserving fuzzy mapping |
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