Fuzzy-Neural Computing Systems: Recent Developments and Future Directions

Recently, several significant advances have been made in two distinct theoretical areas. These theoretical advances have created an innovative field of theoretical and applied interest: fuzzy neural systems. Researchers have provided a theoretical basis in the field while industry has used this theoretical basis to create a new class of machines using the innovative technology of fuzzy neural networks. The theory of fuzzy logic provides a mathematical framework for capturing the uncertainties associated with human cognitive processes, such as thinking and reasoning. It also provides a mathematical morphology for emulating certain perceptual and linguistic attributes associated with human cognition. On the other hand, computational neural network paradigms have evolved in the process of understanding the incredible learning and adaptive features of neuronal mechanisms inherent in certain biological species. The integration of these two fields, fuzzy logic and neural networks, has the potential for combining the benefits of these two fascinating fields into a single capsule. The intent of this paper is to describe the basic notions of biological and computational neuronal morphologies, and to describe the principles and architectures of fuzzy neural networks.

[1]  M. Gupta,et al.  Design of fuzzy logic controllers based on generalized T -operators , 1991 .

[2]  Madan M. Gupta Fuzzy neural computing systems , 1992, Defense, Security, and Sensing.

[3]  Madan M. Gupta Fuzzy logic and neural networks , 1992, [Proceedings 1992] IEEE International Conference on Systems Engineering.

[4]  Lotfi A. Zadeh,et al.  Outline of a New Approach to the Analysis of Complex Systems and Decision Processes , 1973, IEEE Trans. Syst. Man Cybern..

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

[6]  Caroline M. Eastman,et al.  Review: Introduction to fuzzy arithmetic: Theory and applications : Arnold Kaufmann and Madan M. Gupta, Van Nostrand Reinhold, New York, 1985 , 1987, Int. J. Approx. Reason..

[7]  D. O. Hebb,et al.  The organization of behavior , 1988 .

[8]  Takeshi Yamakawa,et al.  A fuzzy inference engine in nonlinear analog mode and its application to a fuzzy logic control , 1993, IEEE Trans. Neural Networks.

[9]  Madan M. Gupta,et al.  On the principles of fuzzy neural networks , 1994 .

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

[11]  Naresh K. Sinha,et al.  Intelligent Control Systems: Theory and Applications , 1995 .

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

[13]  D. Hammerstrom,et al.  Working with neural networks , 1993, IEEE Spectrum.

[14]  George K. Knopf,et al.  Dynamic neural network for fuzzy inference , 1993 .

[15]  Lotfi A. Zadeh,et al.  Fuzzy Sets , 1996, Inf. Control..

[16]  Madan M. Gupta,et al.  Conditional Logic in Expert Systems , 1991 .

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

[18]  A. Kaufmann,et al.  Introduction to fuzzy arithmetic : theory and applications , 1986 .

[19]  Madan M. Gupta,et al.  On fuzzy neuron models , 1991, IJCNN-91-Seattle International Joint Conference on Neural Networks.

[20]  James C. Bezdek,et al.  Pattern Recognition with Fuzzy Objective Function Algorithms , 1981, Advanced Applications in Pattern Recognition.