Statistical features and robustness of chaotic fuzzy maps

R. Rovatti, G. Setti

Research output: Chapter in Book/Report/Conference proceedingConference contribution

3 Scopus citations


The properties of the discrete-time nonlinear dynamics induced by a fuzzy system are investigated. Nonlinear dynamical system theory tools are applied to give conditions for fuzzy maps to produce sufficiently complex but asymptotically definite behavior and an approximation scheme allowing its statistical characterization is discussed. Then, to allow the application of synthesis and implementation methodologies for fuzzy systems to the realization of nontrivial or even chaotic dynamics we also give a novel and effective result on the robustness of that statistical characterization with respect to small perturbations or to certain implementation non-idealities.
Original languageEnglish (US)
Title of host publicationIEEE International Conference on Fuzzy Systems
PublisherIEEEPiscataway, NJ, United States
Number of pages7
StatePublished - Jan 1 1997
Externally publishedYes

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