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Fuzzy Neural Networks

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Feature Extraction

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 207))

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Abstract

The theory of fuzzy logic, founded by Zadeh (1965), deals with the linguistic notion of graded membership, unlike the computational functions of the digital computer with bivalent propositions. Since mentation and cognitive functions of brains are based on relative grades of information acquired by the natural (biological) sensory systems, fuzzy logic has been used as a powerful tool for modeling human thinking and cognition (Gupta and Sinha, 1999, Gupta et al., 2003). The perceptions and actions of the cognitive process thus act on the graded information associated with fuzzy concepts, fuzzy judgment, fuzzy reasoning, and cognition. The most successful domain of fuzzy logic has been in the field of feedback control of various physical and chemical processes such as temperature, electric current, flow of liquid/gas, and the motion of machines (Gupta, 1994, Rao and Gupta, 1994, Sun and Jang, 1993, Gupta and Kaufmann, 1988, Kiszka et al., 1985, Berenji and Langari, 1992, Lee, 1990a,b). Fuzzy logic principles can also be applied to other areas. For example, these fuzzy principles have been used in the area such as fuzzy knowledge-based systems that use fuzzy IF-THEN rules, fuzzy software engineering, which may incorporate fuzziness in data and programs, and fuzzy database systems in the field of medicine, economics, and management problems. It is exciting to note that some consumer electronic and automotive industry products in the current market have used technology based on fuzzy logic, and the performance of these products has significantly improved (Al-Holou et al., 2002, Eichfeld et al., 1996).

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References

  • N. Al-Holou, T. Lahdhiri, J.D. Sung, J. Weaver, and F. Al-Abbas. Sliding mode neural network inference fuzzy logic control for active suspension systems. IEEE Trans. Fuzzy Systems, 10(2):234–246, 2002.

    Article  Google Scholar 

  • H.R. Berenji and R. Langari. Handbook of intelligent control, chapter Fuzzy Logic in Control Engineering, pages 93–140. Van Nostrand, New York, 1992.

    Google Scholar 

  • H. Eichfeld, T. Kunemund, and M. Menke. A 12b general-purpose fuzzy logic controller chip. IEEE Trans. Fuzzy Systems, 4(4):460–475, 1996.

    Article  Google Scholar 

  • M.M. Gupta. Neuro Control, chapter Fuzzy Logic and Neural Networks. IEEE Press, New York, 1994.

    Google Scholar 

  • M.M. Gupta, L. Jin, and N. Homma. Static and Dynamic Neural Networks — From Foundamentals to Advanced Theory. IEEE Press & Wiley, Hoboken, NJ, 2003.

    Google Scholar 

  • M.M. Gupta and A. Kaufmann. Introduction to Fuzzy Arithmetic. Van Nostrand, New York, 1985.

    MATH  Google Scholar 

  • M.M. Gupta and A. Kaufmann. Fuzzy Mathematical Models in Engineering and Management Science. North Holland, Amsterdam, 1988.

    MATH  Google Scholar 

  • M.M. Gupta and N.K. Sinha. Soft Computing and Intelligent Systems — Theory and Applications. Academic Press, New York, 1999.

    Google Scholar 

  • Y. Hayashi and J.J. Buckley. Can fuzzy neural nets approximate continuous fuzzy functions. Fuzzy Sets and Systems, 61(1):43–52, 1993a.

    MathSciNet  Google Scholar 

  • Y. Hayashi and J.J. Buckley. Hybrid neural nets can be fuzzy controllers and fuzzy expert systems. Fuzzy Sets and Systems, 60(2):135–142, 1993b.

    Article  MATH  MathSciNet  Google Scholar 

  • Y. Hayashi and J.J. Buckley. Numerical relationships between neural networks, continuous functions and fuzzy systems. Fuzzy Sets and Systems, 60(1):1–8, 1993c.

    Article  MathSciNet  Google Scholar 

  • Y. Hayashi and J.J. Buckley. Fuzzy genetic algorithm and applications. Fuzzy Sets and Systems, 61(2):129–136, 1994a.

    Article  MathSciNet  Google Scholar 

  • Y. Hayashi and J.J. Buckley. Fuzzy neural networks: A survey. Fuzzy Sets and Systems, 66(1):1–13, 1994b.

    Article  MathSciNet  Google Scholar 

  • J.S.R. Jang. Self-learning fuzzy controllers based on temporal back-propagation. IEEE Trans. Neural Networks, 3(5):714–723, 1992.

    Article  Google Scholar 

  • L. Jin, M.M. Gupta, and P.N. Nikiforuk. Intelligent Control Systems, chapter Approximation Capabilities of Feedforward and Recurrent Neural Networks, pages 234–264. IEEE Press, New York, 1994.

    Google Scholar 

  • L. Jin, M.M. Gupta, and P.N. Nikiforuk. Fuzzy Logic and Intelligent Control, chapter Neural Networks and Fuzzy Basis Functions for Functional Approximation, pages 17–68. Kluwer Academic Publishers, 1995.

    Google Scholar 

  • J. Kiszka, M.M. Gupta, and P.N. Nikiforuk. Energetistic stability of fuzzy dynamic systems. IEEE Trans. Syst., Man. Cybernetics, 15(5):783–792, 1985.

    MATH  Google Scholar 

  • B. Kosko. Neural Networks and Fuzzy Systems. Prentice Hall, Englewood Cliffs, 1992.

    MATH  Google Scholar 

  • B. Kosko. Fuzzy systems as universal approximators. IEEE Trans. Computers, 43(11):1329–1333, 1994.

    Article  MATH  Google Scholar 

  • C.C. Lee. Fuzzy logic in control systems: Fuzzy logic controller, part i. IEEE Trans. Syst., Man. Cybernetics, 20(2):404–418, 1990a.

    Article  MATH  Google Scholar 

  • C.C. Lee. Fuzzy logic in control systems: Fuzzy logic controller, part ii. IEEE Trans. Syst., Man. Cybernetics, 20(2):419–435, 1990b.

    Article  MATH  Google Scholar 

  • E.T. Lee and S.C. Lee. Fuzzy sets and neural networks. J. Cybernetics, 4(2):83–101, 1974.

    Article  Google Scholar 

  • J.M. Mendel and L.X. Wang. Generating fuzzy rules from numerical data, with applications. IEEE Trans. Syst., Man. Cybernetics, 22(6):1414–1472, 1992.

    Article  MathSciNet  Google Scholar 

  • J.M. Mendel and L.X. Wang. Fuzzy adaptive filters, with application to nonlinear channel equalization. IEEE Trans. Fuzzy Systems, 1(3):161–170, 1993.

    Article  Google Scholar 

  • W. Pedrycz. A referential scheme of fuzzy decision making and its neural network structure. IEEE Trans. Syst., Man. Cybernetics, 21(6):1593–1604, 1991.

    Article  MathSciNet  Google Scholar 

  • W. Pedrycz. Fuzzy neural networks and neurocomputations. Fuzzy Sets and Systems, 56(1):1–28, 1993.

    Article  Google Scholar 

  • W. Pedrycz. Genetic algorithms for learning in fuzzy relational structures. Fuzzy Sets and Systems, 69(1):37–52, 1995.

    Article  Google Scholar 

  • H. Prade and D. Dubois. Fuzzy Sets and Systems: Theory And Applications. Academic, Orlando FL, 1980.

    MATH  Google Scholar 

  • J. Qi and M.M. Gupta. On fuzzy neuron models. In IJCNN, pages 1431–1456, 1991.

    Google Scholar 

  • J. Qi and M.M. Gupta. Fuzzy logic for the management of uncertainty, chapter On Fuzzy Neuron Models, pages 479–491. Wiley, New York, 1992a.

    Google Scholar 

  • J. Qi and M.M. Gupta. Theory of t-norms and fuzzy inference method. Fuzzy Sets and Systems, 40:431–450, 1992b.

    MathSciNet  Google Scholar 

  • D.H. Rao and M.M. Gupta. On the principles of fuzzy neural networks. Fuzzy Sets and Systems, 61(1):1–18, 1994.

    Article  MathSciNet  Google Scholar 

  • C.T. Sun and J.S.R. Jang. Neuro-fuzzy modeling and control. Proc. IEEE, 83(3): 378–406, 1990.

    Google Scholar 

  • C.T. Sun and J.S.R. Jang. Functional equivalence between radial basis function networks and fuzzy inference systems. IEEE Trans. Neural Networks, 4(1):156–159, 1993.

    Article  Google Scholar 

  • L.X. Wang. Stable adaptive fuzzy control of nonlinear systems. IEEE Trans. Fuzzy Systems, 1(2):146–155, 1993.

    Article  Google Scholar 

  • L.A. Zadeh. Fuzzy sets. Information and Control, 8:338–353, 1965.

    Article  MATH  MathSciNet  Google Scholar 

  • L.A. Zadeh. A rational for fuzzy control. J. Dyn. Syst. Meas. Contr, 34:3–4, 1972.

    Google Scholar 

  • L.A. Zadeh. Outline of a new approach to the analysis of complex systems and decision processes. IEEE Trans. Syst., Man. Cybernetics, 3:28–44, 1973.

    MATH  MathSciNet  Google Scholar 

  • L.A. Zadeh and R.E. Bellman. Modern uses of multiple-valued logic, chapter Local and Fuzzy Logics, pages 103–165. Reidel, Dordrecht, Netherlands, 1977.

    Google Scholar 

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Gupta, M.M., Homma, N., Hou, ZG. (2006). Fuzzy Neural Networks. In: Guyon, I., Nikravesh, M., Gunn, S., Zadeh, L.A. (eds) Feature Extraction. Studies in Fuzziness and Soft Computing, vol 207. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-35488-8_9

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  • DOI: https://doi.org/10.1007/978-3-540-35488-8_9

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-35487-1

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