Robust neurofuzzy rule base knowledge extraction and estimation using subspace decomposition combined with regularization and D-optimality

IEEE Transactions on Systems, Man, and Cybernetics. Part B, Cybernetics : a Publication of the IEEE Systems, Man, and Cybernetics Society
Xia HongSheng Chen

Abstract

A new robust neurofuzzy model construction algorithm has been introduced for the modeling of a priori unknown dynamical systems from observed finite data sets in the form of a set of fuzzy rules. Based on a Takagi-Sugeno (T-S) inference mechanism a one to one mapping between a fuzzy rule base and a model matrix feature subspace is established. This link enables rule based knowledge to be extracted from matrix subspace to enhance model transparency. In order to achieve maximized model robustness and sparsity, a new robust extended Gram-Schmidt (G-S) method has been introduced via two effective and complementary approaches of regularization and D-optimality experimental design. Model rule bases are decomposed into orthogonal subspaces, so as to enhance model transparency with the capability of interpreting the derived rule base energy level. A locally regularized orthogonal least squares algorithm, combined with a D-optimality used for subspace based rule selection, has been extended for fuzzy rule regularization and subspace based information extraction. By using a weighting for the D-optimality cost function, the entire model construction procedure becomes automatic. Numerical examples are included to demonstrate the effectiven...Continue Reading

References

Feb 5, 2008·IEEE Transactions on Neural Networks·X Hong, C J Harris

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Citations

Nov 27, 2007·SAR and QSAR in Environmental Research·S KumarU Kragl
Mar 16, 2005·BMC Medical Informatics and Decision Making·Dongquan ChenSusan M Sell
Jun 13, 2013·IEEE Transactions on Cybernetics·Wanqing ZhaoGeorge W Irwin
Nov 22, 2008·IEEE Transactions on Systems, Man, and Cybernetics. Part B, Cybernetics : a Publication of the IEEE Systems, Man, and Cybernetics Society·Mohit KumarRegina Stoll
May 9, 2015·IEEE Transactions on Cybernetics·Mohit KumarKerstin Thurow

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