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Fuzzy Sets and Systems 161, 13 (2010) Pages 1836-1851
Linearity testing for fuzzy rule-based models
José-Luis Aznarte 1, Marcelo C. Medeiros 2, José-M. Benitez 3
(07/2010)

In this paper, we introduce a linearity test for fuzzy rule-based models in the framework of time series modeling. To do so, we explore a family of statistical models, the regime switching autoregressive models, and the relations that link them to the fuzzy rule-based models. From these relations, we derive a Lagrange multiplier linearity test and some properties of the maximum likelihood estimator needed for it. Finally, an empirical study of the goodness of the test is presented.
1 :  Centre Énergétique et Procédés (CEP)
MINES ParisTech - École nationale supérieure des mines de Paris
2 :  Department of Economics
Pontifical Catholic University of Rio de Janeiro
3 :  Department of Computer Science and Artificial Intelligence (DECSAI)
University of Granada
Sciences de l'ingénieur/Energétique
Fuzzy system – Fuzzy set – Information processing – Maximum likelihood – Lagrange multiplier – Autoregressive model – Time series