Improved constructive learning algorithms for fuzzy inference system identification

This paper presents an improved constructive learning algorithm for fuzzy inference system identification. An incremental training procedure that starts with a single pattern and a single-fuzzy rule has been used: if after several attempts, the fuzzy model cannot reduce the error within the specified tolerance; it grows by adding a new fuzzy rule. In order to overcome the over-training problem and to ameliorate the performance of the previous algorithm, two techniques of reduction have been introduced. In the first one, the growing of the fuzzy rules is conditioned by the generalisation error. In the second approach, a technique based on the similarity measures has been applied. The presented approaches have been applied for two examples to show the identification performance.

[1]  MOHAMED CHTOUROU,et al.  A learning-automaton-based method for fuzzy inference system identification , 1997, Int. J. Syst. Sci..

[2]  Kumpati S. Narendra,et al.  Identification and control of dynamical systems using neural networks , 1990, IEEE Trans. Neural Networks.

[3]  Derong Liu,et al.  A constructive algorithm for feedforward neural networks with incremental training , 2002 .

[4]  Kazuo Tanaka,et al.  Stability analysis and design of fuzzy control systems , 1992 .

[5]  Kazuo Tanaka,et al.  Modeling and control of carbon monoxide concentration using a neuro-fuzzy technique , 1995, IEEE Trans. Fuzzy Syst..

[6]  Uzay Kaymak,et al.  Fuzzy clustering with volume prototypes and adaptive cluster merging , 2002, IEEE Trans. Fuzzy Syst..

[7]  Jeen-Shing Wang,et al.  Self-adaptive neuro-fuzzy inference systems for classification applications , 2002, IEEE Trans. Fuzzy Syst..

[8]  Ricardo Carelli,et al.  Systems Identification using a Type of Takagi-Sugeno Fuzzy Model , 2000 .

[9]  Dimitar Filev,et al.  Unified structure and parameter identification of fuzzy models , 1993, IEEE Trans. Syst. Man Cybern..

[10]  Arnaud Devillez,et al.  Four fuzzy supervised classification methods for discriminating classes of non-convex shape , 2004, Fuzzy Sets Syst..

[11]  Aly A. Farag,et al.  A modified fuzzy c-means algorithm for bias field estimation and segmentation of MRI data , 2002, IEEE Transactions on Medical Imaging.

[12]  Michio Sugeno,et al.  Fuzzy identification of systems and its applications to modeling and control , 1985, IEEE Transactions on Systems, Man, and Cybernetics.

[13]  R. Zemouri Contribution à la surveillance des systèmes de production à l'aide des réseaux de neurones dynamiques : Application à la e-maintenance , 2003 .

[14]  Michio Sugeno,et al.  A fuzzy-logic-based approach to qualitative modeling , 1993, IEEE Trans. Fuzzy Syst..

[15]  Uzay Kaymak,et al.  Similarity measures in fuzzy rule base simplification , 1998, IEEE Trans. Syst. Man Cybern. Part B.

[16]  Kaoru Hirota,et al.  Improving recognition and generalization capability of back-propagation NN using a self-organized network inspired by immune algorithm (SONIA) , 2005, Appl. Soft Comput..