Geodesic
A Fuzzy System with ε-insensitive Learning of Premises and Consequences of if-then Rules
International Journal of Applied Mathematics and Computer Science, Tome 15 (2005) no. 2, pp. 257-273.

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First, a fuzzy system based on if-then rules and with parametric consequences is recalled. Then, it is shown that the global and local ε-insensitive learning of the above fuzzy system may be presented as a combination of both an ε-insensitive gradient method and solving a system of linear inequalities. Examples are given of using the introduced method to design fuzzy models of real-life data. Simulation results show an improvement in the generalization ability of a fuzzy system trained by the new method compared with the traditional and other ε-insensitive learning methods.
Keywords: fuzzy system, generalization ability, extraction of fuzzy if-then rules, global ε-insensitive learning, local ε-insensitive learning
Mots-clés : system rozmyty, zdolność uogólnienia, modelowanie rozmyte 
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Łęski, J. M.; Czogała, T. A Fuzzy System with ε-insensitive Learning of Premises and Consequences of if-then Rules. International Journal of Applied Mathematics and Computer Science, Tome 15 (2005) no. 2, pp. 257-273. http://geodesic.mathdoc.fr/item/IJAMCS_2005_15_2_a8/

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