A Highly Adaptive Algorithm for Fuzzy Modelling of Systems
Ricardo J. G. B. Campello, R. M. Nazzetta, W.C. Amaral · International Journal of Uncertainty Fuzziness and Knowledge-Based Systems · 1998
An optimization-based methodology for on-line discrete-time fuzzy relational model identification is proposed. Approximated solutions for extended fuzzy relational equations are derived without the necessity of the previous identification of an appropriate initial fuzzy relation. A heuristic is used making the algorithm capable of solving the identification problem when the fuzzy relational matrix is biased. A set of quadratic performance indices containing only fuzzy quantities provides accurate results and allows the utilization of a simple optimization method. The efficiency of the proposed methodology is illustrated using two numerical examples in which synthetic data are generated by the identified models.