A Genetic Based Approach to the Type I Structure Identification Problem

The problem of system input selection, dubbed in the literature as Type I Structure Identification problem, is addressed in this paper using an effective novel method. More specifically, the fuzzy curve technique, introduced by Lin and Cunningham (1995), is extended to an advantageous fuzzy surface technique; the latter is used for fast building a coarse model of the system from a subset of the initial candidate inputs. A simple genetic algorithm, enhanced with a local search operator, is used for finding an optimal subset of necessary and sufficient inputs by considering jointly more than one inputs. Extensive simulation results on both artificial data and real world data have demonstrated comparatively the advantages of the proposed method.

[1]  Reza Langari,et al.  Building Sugeno-type models using fuzzy discretization and orthogonal parameter estimation techniques , 1995, IEEE Trans. Fuzzy Syst..

[2]  Chin-Teng Lin,et al.  Real-time supervised structure/parameter learning for fuzzy neural network , 1992, [1992 Proceedings] IEEE International Conference on Fuzzy Systems.

[3]  L. Wang,et al.  Fuzzy systems are universal approximators , 1992, [1992 Proceedings] IEEE International Conference on Fuzzy Systems.

[4]  Kohji Fukunaga,et al.  Introduction to Statistical Pattern Recognition-Second Edition , 1990 .

[5]  Harpreet Singh,et al.  Generating optimal adaptive fuzzy-neural models of dynamical systems with applications to control , 1998, IEEE Trans. Syst. Man Cybern. Part C.

[6]  P. Young,et al.  Time series analysis, forecasting and control , 1972, IEEE Transactions on Automatic Control.

[7]  Jack Sklansky,et al.  A note on genetic algorithms for large-scale feature selection , 1989, Pattern Recognit. Lett..

[8]  Heidar A. Malki,et al.  Using the Karhunen-Loe've transformation in the back-propagation training algorithm , 1991, IEEE Trans. Neural Networks.

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

[10]  Keinosuke Fukunaga,et al.  Introduction to statistical pattern recognition (2nd ed.) , 1990 .

[11]  Ioannis B. Theocharis,et al.  A GA-based fuzzy modeling approach for generating TSK models , 2002, Fuzzy Sets Syst..

[12]  Kazuo Tanaka,et al.  Successive identification of a fuzzy model and its applications to prediction of a complex system , 1991 .

[13]  Josef Kittler,et al.  Mathematics Methods of Feature Selection in Pattern Recognition , 1975, Int. J. Man Mach. Stud..

[14]  Sheng Chen,et al.  Representations of non-linear systems: the NARMAX model , 1989 .

[15]  Bart Kosko,et al.  Fuzzy Systems as Universal Approximators , 1994, IEEE Trans. Computers.

[16]  Jerry M. Mendel,et al.  Back-propagation fuzzy system as nonlinear dynamic system identifiers , 1992, [1992 Proceedings] IEEE International Conference on Fuzzy Systems.

[17]  Simon Haykin,et al.  Neural Networks: A Comprehensive Foundation , 1998 .

[18]  Fuzzy Logic in Control Systems : Fuzzy Logic , 2022 .

[19]  S. Hyakin,et al.  Neural Networks: A Comprehensive Foundation , 1994 .

[20]  Chuen-Chien Lee FUZZY LOGIC CONTROL SYSTEMS: FUZZY LOGIC CONTROLLER - PART I , 1990 .

[21]  Yinghua Lin,et al.  A new approach to fuzzy-neural system modeling , 1995, IEEE Trans. Fuzzy Syst..

[22]  I. J. Leontaritis,et al.  Input-output parametric models for non-linear systems Part II: stochastic non-linear systems , 1985 .

[23]  Tim Watson,et al.  Problems with Using Genetic Algorithms for Neural Network Feature Selection , 1994, ECAI.

[24]  Keinosuke Fukunaga,et al.  Introduction to Statistical Pattern Recognition , 1972 .

[25]  Selwyn Piramuthu,et al.  Artificial Intelligence and Information Technology Evaluating feature selection methods for learning in data mining applications , 2004 .

[26]  Reza Langari,et al.  Building Sugeno-type models using fuzzy discretization and orthogonal parameter estimation techniques , 1994, NAFIPS/IFIS/NASA '94. Proceedings of the First International Joint Conference of The North American Fuzzy Information Processing Society Biannual Conference. The Industrial Fuzzy Control and Intellige.

[27]  Chia-Feng Juang,et al.  A TSK-type recurrent fuzzy network for dynamic systems processing by neural network and genetic algorithms , 2002, IEEE Trans. Fuzzy Syst..

[28]  Roberto Battiti,et al.  Using mutual information for selecting features in supervised neural net learning , 1994, IEEE Trans. Neural Networks.

[29]  Paul S. Bradley,et al.  Feature Selection via Mathematical Programming , 1997, INFORMS J. Comput..

[30]  I. J. Leontaritis,et al.  Model selection and validation methods for non-linear systems , 1987 .

[31]  Gwilym M. Jenkins,et al.  Time series analysis, forecasting and control , 1972 .