Fuzzy Inference Neural Network for Fuzzy Model Tuning

In fuzzy modeling, it is relatively easy to manually define rough fuzzy rules for a target system by intuition. It is, however, time-consuming and difficult to fine-tune them to improve their behavior. This paper describes a tuning method for fuzzy models which is applicable regardless of the form of fuzzy rules and the used defuzzification method. For this purpose, this paper proposes a fuzzy neural network model which can embody fuzzy models. The proposed model provides the functions to perform fuzzy inference and to tune the parameters for the shape of antecedent linguistic terms, the relative importance degrees of rules, and the relative importance degrees of antecedent linguistic terms in rules. In addition, to show its applicability, we perform some experiments and present the results.

[1]  Patrick K. Simpson,et al.  Fuzzy min-max neural networks. I. Classification , 1992, IEEE Trans. Neural Networks.

[2]  Kishor S. Trivedi Probability and Statistics with Reliability, Queuing, and Computer Science Applications , 1984 .

[3]  William Feller,et al.  An Introduction to Probability Theory and Its Applications , 1951 .

[4]  Bart Kosko,et al.  Neural networks and fuzzy systems: a dynamical systems approach to machine intelligence , 1991 .

[5]  Yoshiki Uchikawa,et al.  On fuzzy modeling using fuzzy neural networks with the back-propagation algorithm , 1992, IEEE Trans. Neural Networks.

[6]  Hans Hellendoorn,et al.  Defuzzification in Fuzzy Controllers , 1993, J. Intell. Fuzzy Syst..

[7]  Hideo Tanaka,et al.  An architecture of neural networks for input vectors of fuzzy numbers , 1992, [1992 Proceedings] IEEE International Conference on Fuzzy Systems.

[8]  Richard Durbin,et al.  An analogue approach to the travelling salesman problem using an elastic net method , 1987, Nature.

[9]  D. L. Hudson,et al.  Approaches to the handling of fuzzy input data in neural networks , 1992, [1992 Proceedings] IEEE International Conference on Fuzzy Systems.

[10]  Y Takefuji,et al.  A Near-Optimum Parallel Planarization Algorithm , 1989, Science.

[11]  Chin-Teng Lin,et al.  Neural-Network-Based Fuzzy Logic Control and Decision System , 1991, IEEE Trans. Computers.

[12]  Laveen N. Kanal,et al.  The definition of necessary hidden units in neural networks for combinatorial optimization , 1990, 1990 IJCNN International Joint Conference on Neural Networks.

[13]  Carsten Peterson,et al.  A New Method for Mapping Optimization Problems Onto Neural Networks , 1989, Int. J. Neural Syst..

[14]  Rudolf Kruse,et al.  A fuzzy neural network learning fuzzy control rules and membership functions by fuzzy error backpropagation , 1993, IEEE International Conference on Neural Networks.

[15]  Keon-Myung Lee,et al.  Tuning of fuzzy models by fuzzy neural networks , 1995, Fuzzy Sets Syst..

[16]  M. Hirsch Systems of di erential equations which are competitive or cooperative I: limit sets , 1982 .

[17]  M.M. Gupta,et al.  Fuzzy neuro-computational technique and its application to modelling and control , 1992, [1992 Proceedings] IEEE International Conference on Fuzzy Systems.

[18]  V. V. Voyevodin Linear Algebra , 1988 .

[19]  Stephen Grossberg,et al.  Nonlinear neural networks: Principles, mechanisms, and architectures , 1988, Neural Networks.

[20]  A. Amano,et al.  On the use of neural networks and fuzzy logic in speech recognition , 1989, International 1989 Joint Conference on Neural Networks.

[22]  J. Hopfield,et al.  Computing with neural circuits: a model. , 1986, Science.

[23]  Yoichi Hayashi,et al.  A neural expert system using fuzzy teaching input , 1992, [1992 Proceedings] IEEE International Conference on Fuzzy Systems.

[24]  Richard P. Lippmann,et al.  An introduction to computing with neural nets , 1987 .

[25]  Isao Hayashi,et al.  NN-driven fuzzy reasoning , 1991, Int. J. Approx. Reason..

[26]  James C. Bezdek,et al.  Fuzzy Kohonen clustering networks , 1992, [1992 Proceedings] IEEE International Conference on Fuzzy Systems.

[27]  David E. van den Bout,et al.  Graph partitioning using annealed neural networks , 1990, International 1989 Joint Conference on Neural Networks.

[28]  Hamid R. Berenji,et al.  A reinforcement learning--based architecture for fuzzy logic control , 1992, Int. J. Approx. Reason..

[29]  A. Erdélyi,et al.  Tables of integral transforms , 1955 .

[30]  Stephen Grossberg,et al.  Fuzzy ARTMAP: A neural network architecture for incremental supervised learning of analog multidimensional maps , 1992, IEEE Trans. Neural Networks.

[31]  G. W. Davis,et al.  Sensitivity analysis in neural net solutions , 1989, IEEE Trans. Syst. Man Cybern..

[32]  J J Hopfield,et al.  Neural networks and physical systems with emergent collective computational abilities. , 1982, Proceedings of the National Academy of Sciences of the United States of America.

[33]  Keon-Myung Lee,et al.  A fuzzy Neural Network Model for fuzzy Inference and Rule Tuning , 1994, Int. J. Uncertain. Fuzziness Knowl. Based Syst..

[34]  C. D. Gelatt,et al.  Optimization by Simulated Annealing , 1983, Science.

[35]  Hans-Jürgen Zimmermann,et al.  Fuzzy Set Theory - and Its Applications , 1985 .