I am a 2-nd year PhD student. Currently, I am summarizing all my research
and working on my thesis. The title of the thesis is "Control of stochastic
systems using fuzzy-neural models". I have developed a number of adaptive
control schemes based on the 1st-order Sugeno models, and now I need
mathematical proofs of approximation power of such models. As it seems to
me, most existing proofs deal with the 0-th order Sugeno-type or alike fuzzy
systems, among them are the results obtained by L.-X. Wang, B. Kosko, V.
Kreinovich, and many others. Intuitively, it is quite clear that the
1st-order Sugeno systems possess much better approximation capability than
the 0th-order ones, but so far I haven't found any mathematical work on this
Another important thing (in close connection with the first one) is
estimation of the approximation accuracy with a given number of clusters
(rules) with given parameters.
Could you give me any links to downloadable papers? Though I would
appreciate any help.
Thanks in advance.
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