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Accurate, Transparent, and Compact Fuzzy Models for Function Approximation and Dynamic Modeling through Multi-objective Evolutionary Optimization

Fernando Jiménez1Contact Information, Antonio F. Gómez-SkarmetaContact Information, Hans RoubosContact Information and Robert BabuškaContact Information

(5)  Dept. Informática, Inteligencia Artificial y Electrónica, University of Murcia, Spain
(6)  Control Engineering Laboratory Delft University of Technology, the Netherlands
Abstract
Evolutionary algorithms to design fuzzy rules from data for systems modeling have received much attention in recent literature. Many approaches are able to find highly accurate fuzzy models. However, these models often contain many rules and are not transparent. Therefore, we propose several objectives dealing with transparency and compactness besides the standard accuracy objective. These objectives are used to find multiple Pareto-optimal solutions with a multi-objective evolutionary algorithm in a single run. Attractive models with respect to compactness, transparency and accuracy are the result.

Keywords  Takagi-Sugeno fuzzy model - Pareto optimality - multi-objective evolutionary algorithm


Contact Information Fernando Jiménez1
Email: fernan@dif.um.es

Contact Information Antonio F. Gómez-Skarmeta
Email: skarmeta@dif.um.es

Contact Information Hans Roubos
Email: J.A.Roubos@ITS.TUDelft.NL

Contact Information Robert Babuška
Email: R.Babuska@ITS.TUDelft.NL
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