THE TIME TO DEFUZZIFY NEURO-FUZZY MODELS

Fuzzy models present a singular Janus-faced: On the one hand, they are knowledge-based software environments constructed from a collection of linguistic IF-THEN rules, and on the other hand, they realize nonlinear mappings which have interesting mathematical properties like "low-order interpolation" and "universal function approximation". Neuro-fuzzy basically provides fuzzy models with the capacity, based on the available data, to compensate for the missing human knowledge by an automatic self-tuning of the structure and the parameters. A first consequence of this hybridization between the architectural and representational aspect of fuzzy models and the learning mechanisms of neural networks has been to progressively increase and fuzzify the contrast between the two Janus faces: readability or performance.

[1]  Andrew W. Moore,et al.  Locally Weighted Learning , 1997, Artificial Intelligence Review.

[2]  Bart Kosko,et al.  Additive fuzzy systems: from function approximation to learning , 1996 .

[3]  Stefan Schaal,et al.  From Isolation to Cooperation: An Alternative View of a System of Experts , 1995, NIPS.

[4]  Tomaso A. Poggio,et al.  Regularization Theory and Neural Networks Architectures , 1995, Neural Computation.

[5]  J. Mendel Fuzzy logic systems for engineering: a tutorial , 1995, Proc. IEEE.

[6]  Kenneth J. Hunt,et al.  Local Model Architectures for Nonlinear Modelling and Control , 1995 .

[7]  Hugues Bersini,et al.  Recurrent fuzzy systems , 1994, Proceedings of 1994 IEEE 3rd International Fuzzy Systems Conference.

[8]  T. A. Johansen,et al.  Semi-empirical modeling of non-linear dynamical systems , 1994 .

[9]  Kazuo Tanaka,et al.  A robust stabilization problem of fuzzy control systems and its application to backing up control of a truck-trailer , 1994, IEEE Trans. Fuzzy Syst..

[10]  Adam Krzyzak,et al.  On radial basis function nets and kernel regression: Statistical consistency, convergence rates, and receptive field size , 1994, Neural Networks.

[11]  Martin Brown,et al.  Neurofuzzy adaptive modelling and control , 1994 .

[12]  Geoffrey E. Hinton,et al.  An Alternative Model for Mixtures of Experts , 1994, NIPS.

[13]  Léon Bottou,et al.  Local Learning Algorithms , 1992, Neural Computation.

[14]  Thomas G. Dietterich,et al.  Improving the Performance of Radial Basis Function Networks by Learning Center Locations , 1991, NIPS.

[15]  Donald F. Specht,et al.  A general regression neural network , 1991, IEEE Trans. Neural Networks.

[16]  Jun Zhou,et al.  Hierarchical fuzzy control , 1991 .

[17]  Benjamin Kuipers,et al.  The Composition of Heterogeneous Control Laws , 1991, 1991 American Control Conference.

[18]  John Moody,et al.  Fast Learning in Networks of Locally-Tuned Processing Units , 1989, Neural Computation.

[19]  W. Cleveland,et al.  Regression by local fitting: Methods, properties, and computational algorithms , 1988 .

[20]  James C. Bezdek,et al.  An application of the c-varieties clustering algorithms to polygonal curve fitting , 1985, IEEE Transactions on Systems, Man, and Cybernetics.