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Symbolical Reasoning about Numerical Data: A Hybrid Approach

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Abstract

By combining methods from artificial intelligence and signal analysis, we have developed a hybrid system for medical diagnosis. The core of the system is a fuzzy expert system with a dual source knowledge base. Two sets of rules are acquired, automatically from given examples and indirectly formulated by the physician. A fuzzy neural network serves to learn from sample data and allows to extract fuzzy rules for the knowledge base. A complex signal transformation preprocesses the digital data a priori to the symbolic representation. Results demonstrate the high accuracy of the system in the field of diagnosing electroencephalograms where it outperforms the visual diagnosis by a human expert for some phenomena.

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References

  1. W. Bibel, “Intellectics,” in Encyclopedia of Artificial Intelligence, pp. 705–706, 1992.

  2. B.H. Jansen, J.R. Bourne, and J.W. Ward, “Spectral decomposition of EEG intervals using walsh and fourier transforms,” IEEE Transactions on Biomedical Engineering, vol. 28, pp. 836–838, 1981.

    Google Scholar 

  3. B.G. Buchanan and E.H. Shortliffe, Rule-Based Expert Systems, Addison Wesley, 1985.

  4. E.H. Shortliffe, Computer-based medical consultation: MYCIN, American Elsevier, 1976.

  5. A.N. Mamelak, J.J. Quattrochi, and J.A. Hobson, “Automated staging of sleep in cats using neural networks,” Electroencephalography and Clinical Neurophysiology, vol. 79, pp. 52–61, 1991.

    Google Scholar 

  6. L.A. Zadeh, “Fuzzy sets,” Information and Control, vol. 8, pp. 338–353, 1965.

    Google Scholar 

  7. S. Goonatilake and S. Khebbal, “Intelligent hybrid systems: Issues, classifications and future directions,” in Intelligent Hybrid Systems, pp. 1–20, 1995.

  8. S. Goonatilake and S. Khebbal (eds.), Intelligent Hybrid Systems, John Wiley & Sons, 1995.

  9. C.S. Herrmann, “A fuzzy neural network for detecting graphoelements in EEGs,” in Supercomputers in Brain Research: From Tomography to Neural Networks, edited by H.J. Herrmann, D.E. Wolf, and E. Pöppel, World Scientific Publishing Company, pp. 193–198, 1995.

  10. S.J. Schiff, A. Aldroubi, M. Unser, and S. Sato, “Fast wavelet transformation of EEG,” Electroencephalography and Clinical Neurophysiology, vol. 91, pp. 442–455, 1994.

    Google Scholar 

  11. C.S. Herrmann, “Mechanism and System for Analysing Electroencephalographic Recordings,” PCT Patent Application PCT/EP 96/02309 in Europe, USA and Japan, 1996.

  12. C.S. Herrmann, H.P. Hundemer, and H.C. Hopf, “Adaptive Frequency Decomposition for EEG-Analysis,” in 40th Annual German Conference on Neurophysiology, 1995.

  13. H.P. Hundemer, C.S. Herrmann, and H.C. Hopf, “Clinical Use of a New EEG-Analysis System,” in 40th Annual German Conference on Neurophysiology, 1995.

  14. L. Schuster, C.S. Herrmann, H.P. Hundemer, and H.C. Hopf, “Automatic focus detection in digital EEG by a knowledge-based system” (European Congress on Clinical Neurophysiology,) Electroencephalography and Clinical Neurophysiology, vol. 99,no. 4, p. 317, 1996.

    Google Scholar 

  15. A.S. Gevins and A. Rémond (eds.), Methods of Analysis of Brain Electrical and Magnetic Signals (Handbook of Electroencephalography and Clinical Neurophysiology), Elsevier Science Publishers, vol. 1, 1987.

  16. W. Bibel and J.-M. Nicolas, “The role of logic for data and knowledge bases—A brief survey,” in Foundations of Knowledge Base Management, edited by Joachim W. Schmidt and C. Thanos, Springer: Berlin, pp. 3–22, 1988.

    Google Scholar 

  17. R. Kruse, J. Gebhardt, and F. Klawonn, Foundations of Fuzzy Systems, Wiley, 1994.

  18. E. Niedermeyer and F. Lopes da Silva, Electroencephalography, Basic Principles, Clinical Applications and Related Fields, William & Wilkins, 1993.

  19. D.E. Rumelhart and J.L. McClelland, Parallel Distributed Processing: Explorations in the Microstructure of Cognition, MIT Press, 1986.

  20. P. Smolensky, “Tensor product variable binding and the representation of symbolic structures in connectionist systems,” Artificial Intelligence, vol. 46, pp. 159–216, 1990.

    Google Scholar 

  21. C.S. Herrmann, S.K. Halgamuge, and M. Glesner, “Comparison of fuzzy rule based classification with neural network approaches for medical diagnosis,” in European Congress on Fuzzy and Intelligent Technologies (EUFIT), edited by H.-J. Zimmermann, Wissenschaftsverlag Mainz, pp. 1664–1667, 1995.

  22. S.K. Halgamuge, W. Pöchmüller, S. Ting, M. Höhn, and M. Glesner, “Identification of underwater sonar images using fuzzy-neural architecture FuNeI,” in International Conference on Artificial Neural Networks (ICANN), Springer, 1993, pp. 922–925.

  23. R. Andrews, J. Diederich, and A.B. Tickle, “A survey and critique of techniques for extracting rules from trained artificial neural networks,” Knowledge-Based Systems, vol. 8,no. 6, 1995.

  24. Y. Le Cun, J.S. Denker, and S.A. Solla, “Optimal brain damage,” in Proceedings of the 2nd Conference on Advances in Neural Information Processing Systems (NIPS-90), edited by R.P. Lippman, J.E. Moody, and D.S. Touretzky, 1990, pp. 598–605.

  25. National Research Council Canada. FuzzyCLIPS User's Guide Version 6.02A, Knowledge Systems Laboratory, 1994.

  26. NASA, CLIPS Reference Guide, Artificial Intelligence Section, 1993.

  27. S. Russell and P. Norvig, Artificial Intelligence: A modern Approach, Prentice Hall, 1995.

  28. J.H. Holland, “Escaping brittleness: The possibilities of generalpurpose learning algorithms to parallel rule-based systems,” in Machine Learning, edited by R.S. Michalski, J.G. Carbonell, and T.M. Mitchell, Morgan Kaufmann, vol. 2, chap. 20, pp. 593–623, 1986.

  29. H.H. Jasper, “The ten twenty electrode system of the international federation,” Electroencephalography and Clinical Neurophysiology, vol. 10, pp. 371–375, 1958.

    Google Scholar 

  30. G.A. Brown, C. Hulme, P.D. Hyland, and I.J. Mitchell, “Cell suicide in the developing nervous system: A functional neural network model,” Cognitive Brain Research, vol. 2, pp. 71–75, 1994.

    Google Scholar 

  31. R.S. Michalski, “A theory and methodology of inductive learning,” in Machine Learning, edited by R.S. Michalski, J.G. Carbonell, and T.M. Mitchell, Tioga, chapt. 4, pp. 83–134, 1983.

  32. D. Ourston and R.J. Mooney, “Theory refinement combining analytical and empirical methods,” Artificial Intelligence Journal, vol. 66, pp. 273–309, 1994.

    Google Scholar 

  33. S.D. Stearns, Digital Signal Analysis, Hayden Book Company, 1975.

  34. K. Jahnke, “Preprocessing of EEGs by means of wavelet-analysis for subsequent processing in a neural network,” Master's Thesis, TH Darmstadt, FG Mikroelektronische Systeme/FG Intellektik, 1995.

  35. C. Nikel, “Investigating brain electric potentials with intelligent systems,” Master's Thesis, TH Darmstadt, FG Mikroelektronische Systeme/FG Intellektik, 1995.

  36. S.C. Shapiro, Encyclopedia of Artificial Intelligence, John Wiley, 1992.

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Herrmann, C.S. Symbolical Reasoning about Numerical Data: A Hybrid Approach. Applied Intelligence 7, 339–354 (1997). https://doi.org/10.1023/A:1008217621798

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