Fuzzy information processing with neural networks

During recent years, fuzzy neural networks have found extensive applications in numerous engineering areas. It is known that the fusion of neural networks and fuzzy logic can overcome their individual drawbacks and benefit from each other's merits. However, current fuzzy neural networks often have complex structures and training algorithms. In addition, some of them cannot deal with fuzzy knowledge directly. Inspired by the /spl alpha/-level cut representation of fuzzy numbers, we propose a simple neural network-based approach for processing fuzzy information. By numerical simulations, our scheme is illustrated to be capable of coping with fuzzy input and output without a need for new network topology or learning algorithm.

[1]  Sam Kwong,et al.  Genetic algorithms: concepts and applications [in engineering design] , 1996, IEEE Trans. Ind. Electron..

[2]  J. Buckley,et al.  Fuzzy neural networks: a survey , 1994 .

[3]  E. Mizutani,et al.  Neuro-Fuzzy and Soft Computing-A Computational Approach to Learning and Machine Intelligence [Book Review] , 1997, IEEE Transactions on Automatic Control.

[4]  Sam Kwong,et al.  Genetic algorithms: concepts and applications [in engineering design] , 1996, IEEE Trans. Ind. Electron..

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

[6]  Chin-Teng Lin,et al.  A neural fuzzy control system with structure and parameter learning , 1995 .

[7]  Spyros G. Tzafestas,et al.  Neural fuzzy control systems with structure and parameter learning , 1996, J. Intell. Robotic Syst..

[8]  C. S. George Lee,et al.  Neural fuzzy systems: a neuro-fuzzy synergism to intelligent systems , 1996 .

[9]  Bernard Widrow,et al.  30 years of adaptive neural networks: perceptron, Madaline, and backpropagation , 1990, Proc. IEEE.

[10]  Lotfi A. Zadeh,et al.  Fuzzy logic, neural networks, and soft computing , 1993, CACM.

[11]  Hisao Ishibuchi,et al.  Neural networks that learn from fuzzy if-then rules , 1993, IEEE Trans. Fuzzy Syst..

[12]  P. S. Sastry,et al.  Memory neuron networks for identification and control of dynamical systems , 1994, IEEE Trans. Neural Networks.

[13]  Kurt Hornik,et al.  Multilayer feedforward networks are universal approximators , 1989, Neural Networks.

[14]  Chin-Teng Lin,et al.  A neural fuzzy system with linguistic teaching signals , 1995, IEEE Trans. Fuzzy Syst..

[15]  George Cybenko,et al.  Approximation by superpositions of a sigmoidal function , 1992, Math. Control. Signals Syst..

[16]  Seppo J. Ovaska,et al.  Fuzzy-neuro technique-based intelligent fault diagnosis in electrical motor systems , 2000 .

[17]  Paul J. Werbos,et al.  Neurocontrol and fuzzy logic: Connections and designs , 1992, Int. J. Approx. Reason..

[18]  Radim Belohlávek,et al.  Feedforward networks with fuzzy signals , 1999, Soft Comput..

[19]  Jyh-Shing Roger Jang,et al.  ANFIS: adaptive-network-based fuzzy inference system , 1993, IEEE Trans. Syst. Man Cybern..

[20]  Li-Xin Wang,et al.  A Course In Fuzzy Systems and Control , 1996 .

[21]  Sankar K. Pal,et al.  Multilayer perceptron, fuzzy sets, and classification , 1992, IEEE Trans. Neural Networks.