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Neural Networks, Fuzzy Models and Dynamic Logic

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Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 209))

Abstract

The paper discusses possible relationships between computational intelligence, known mechanisms of the mind, semiotics, and computational linguistics. Mathematical mechanisms of concepts, emotions, and goals are described as a part of information processing in the mind and are related to language and thought processes in which an event (signals from surrounding world, text corpus, or inside the mind) is understood as a concept. Previous attempts in artificial intelligence at describing thought processes are briefly reviewed and their fundamental (mathematical) limitations are analyzed. The role of emotional signals in overcoming these past limitations is emphasized. The paper describes mathematical mechanisms of concepts applicable to sensory signals and linguistics; they are based on measures of similarities between models and signals. Linguistic similarities are discussed that can utilize various structures and rules proposed in computational linguistic literature. A hierarchical structure of the proposed method is capable of learning and recognizing concepts from textual data, from the level of words and up to sentences, groups of sentences, and towards large bodies of text. I briefly discuss a role of concepts as a mechanism unifying thinking and language and their possible role in language acquisition. A thought process is related to semiotic notions of signs and symbols. It is further related to understanding, imagination, intuition, and other processes in the mind. The paper briefly discusses relationships between the mind and brain and applications to understanding-based search engines.

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References

  1. Aristotle. Metaphysics. In J. Barnes, editor, Complete Works of Aristotle. Princeton University Press, Princeton, NJ, 1995.

    Google Scholar 

  2. R. E. Bellman. Adaptive Control Processes. Princeton University Press, Princeton, NJ, 1961.

    MATH  Google Scholar 

  3. G. A. Carpenter and S. Grossberg. A Massively Parallel Architecture for a Self-organizing Neural Pattern Recognition Machine. Computer Vision, Graphics and Image Processing, 37:54–115, 1987.

    Article  Google Scholar 

  4. N. Chomsky. Language and Mind. Harcourt Brace Javanovich, New York, 1972.

    Google Scholar 

  5. N. Chomsky. Principles and Parameters in Syntactic Theory. In N. Hornstein and D. Lightfoot, editors, Explanation in Linguistics. The Logical Problem of Language Acquisition. Longman, London, 1981.

    Google Scholar 

  6. A. R. Damasio. Descartes' Error: Emotion, Reason, and the Human Brain. Avon, New York, 1995.

    Google Scholar 

  7. T. W. Deacon. The Symbolic Species: The Co-Evolution of Language and the Brain. W. W. Norton & Company, 1998.

    Google Scholar 

  8. V. A. Dmitriev and L. I. Perlovsky. Art Form as an Object of Cognitive Modeling (Towards Development of Vygotsky's Semiotics Model). In Proceedings of the 1996 Conference on Intelligent Systems and Semiotics, volume 2, pages 385–389, Gaithersburg, 1996.

    Google Scholar 

  9. W. J. Freeman. Mass Action in the Nervous System. Academic Press, New York, 1975.

    Google Scholar 

  10. S. Grossberg. Neural Networks and Natural Intelligence. MIT Press, Cambridge, MA, 1988.

    Google Scholar 

  11. S. Grossberg. Linking Mind to Brain: The Mathematics of Biological Intelligence. Notices of the American Mathematical Society, 47:1361–1372, 2000.

    MATH  MathSciNet  Google Scholar 

  12. S. Grossberg and D. S. Levine. Neural Dynamics of Attentionally Modulated Pavlovian Conditioning: Blocking, Inter-stimulus Interval, and Secondary Reinforcement. Psychobiology, 15(3):195–240, 1987.

    Google Scholar 

  13. S. Grossberg and N. A. Schmajuk. Neural Dynamics of Attentionally Modulated Pavlovian Conditioning: Conditioned Reinforcement, Inhibition, and Opponent Processing. Psychobiology, 15(3):195–240, 1987.

    Google Scholar 

  14. S. R. Hamero. Toward a Scientific Basis for Consciousness. MIT Press, Cambridge, MA, 1994.

    Google Scholar 

  15. D. Hebb. Organization of Behavior. J. Wiley & Sons, New York, 1949.

    Google Scholar 

  16. R. Jackendo. Foundations of Language: Brain, Meaning, Grammar, Evolution. Oxford University Press, New York, 2002.

    Google Scholar 

  17. J.-S. R. Jang, C.-T. Sun, and E. Mizutani. Neuro-Fuzzy and Soft Computing: A Computational Approach to Learning and Machine Intelligence. Prentice Hall, Upper Saddle River, 1996.

    Google Scholar 

  18. B. D. Josephson. An Integrated Theory of Nervous System Functioning Embracing Nativism and Constructivism. In International Complex Systems Conference, Nashua, NH, September 21–26 1997.

    Google Scholar 

  19. C. G. Jung. Archetypes of the Collective Unconscious. In The Collected Works, volume 9.II of Bollingen Series XX, 1969. Princeton University Press, Princeton, NJ, 1934.

    Google Scholar 

  20. I. Kant. Critique of Judgment. Macmillan & Co., London, 2nd edition, 1914.

    Google Scholar 

  21. I. Kant. Critique of Pure Reason. Wiley Book, New York, 1943.

    Google Scholar 

  22. I. Kant. Critique of Practical Reason. Hafner, 1986.

    Google Scholar 

  23. C. Koch and I. Segev, editors. Methods in Neuronal Modeling: From Ions to Networks. MIT Press, Cambridge, MA, 1998.

    Google Scholar 

  24. A. Mehler. A Multiresolutional Approach to Fuzzy Text Meaning. A First Attempt. In A. Meystel, editor, Proceedings of the 1996 International Multidisciplinary Conference on Intelligent Systems: A Semiotic Perspective, volume I, pages 261–273, Gaithersburg, 1996. National Institute of Standards and Technology.

    Google Scholar 

  25. A. Mehler. Components of a Model of Context-Sensitive Hypertexts. Journal of Universal Computer Science, 8(10):924–943, 2002.

    Google Scholar 

  26. A. Mehler. Hierarchical Orderings of Textual Units. In Proceedings of the 19th International Conference on Computational Linguistics, COLING' 02, Taipei, pages 646–652, San Francisco, 2002. Morgan Kaufmann.

    Google Scholar 

  27. A. Meystel. Semiotic Modeling and Situational Analysis. AdRem, Bala Cynwyd, PA, 1995.

    Google Scholar 

  28. A. M. Meystel and J. S. Albus. Intelligent Systems: Architecture, Design, and Control. Wiley, New York, 2001.

    Google Scholar 

  29. M. Minsky. The Society of Mind. MIT Press, Cambridge, MA, 1988.

    Google Scholar 

  30. C. Morris. Writings on the General Theory of Signs. Mouton, The Hague, 1971.

    Google Scholar 

  31. A. Newell. Intellectual Issues in the History of Artificial Intelligence. In F. Machlup and U. Mansfield, editors, The Study of Information. J. Wiley, New York, 1983.

    Google Scholar 

  32. C. S. Peirce. Collected Papers of Charles Sanders Peirce. Harvard University Press, Cambridge, MA, 1935–66.

    Google Scholar 

  33. R. Penrose. Shadows of the Mind. Oxford University Press, Oxford, 1994.

    Google Scholar 

  34. L. I. Perlovsky. Gödel Theorem and Semiotics. In Proceedings of the 1996 Conference on Intelligent Systems and Semiotics, volume 2, pages 14–18, Gaithersburg, 1996.

    Google Scholar 

  35. L. I. Perlovsky. Mathematical Concepts of Intellect. In Proceedings of the World Congress on Neural Networks, pages 1013–1016, San Diego, 1996. Lawrence Erlbaum Associates.

    Google Scholar 

  36. L. I. Perlovsky. Towards Quantum Field Theory of Symbol. In Proceedings of the 1997 Conference on Intelligent Systems and Semiotics, pages 295–300, Gaithersburg, 1997.

    Google Scholar 

  37. L. I. Perlovsky. Conundrum of Combinatorial Complexity. IEEE Transactions on Pattern Analysis and Machine Intelligence, 20(6):666–670, 1998.

    Article  Google Scholar 

  38. L. I. Perlovsky. Cyberaesthetics: Aesthetics, learning, and control. In STIS'98, Gaithersburg, 1998.

    Google Scholar 

  39. L. I. Perlovsky. Emotions, Learning, and Control. In Proceedings of the International Symposium on Intelligent Control, Intelligent Systems & Semiotics, pages 131–137, Cambridge, MA, 1999.

    Google Scholar 

  40. L. I. Perlovsky. Neural Networks and Intellect: Using Model-based Concepts. Oxford University Press, New York, 2001.

    Google Scholar 

  41. J. Piaget. The Psychology of the Child. Basic Books, 2000.

    Google Scholar 

  42. J. P. e. Pickett, editor. The American Heritage College Dictionary. Houghton Mifiin, Boston, MA, 3rd edition, 2000.

    Google Scholar 

  43. S. Pinker. The Language Instinct: How the Mind Creates Language. Harper Perennial, 2000.

    Google Scholar 

  44. S. Pinker. Words and Rules: The Ingredients of Language. Harper Perennial, 2000.

    Google Scholar 

  45. K. Pribram. Languages of the Brain. Prentice Hall, 1971.

    Google Scholar 

  46. B. B. Rieger. Empirical Semantics II. A Collection of New Approaches in the Field. In Quantitative Linguistics, volume 13. Brockmeyer, Bochum, 1981.

    Google Scholar 

  47. B. B. Rieger. Situation Semantics and Computational Linguistics: Towards Informational Ecology. In K. Kornwachs and K. Jacoby, editors, Information. New Questions to a Multidisciplinary Concept, pages 285–315. Akademie-Verlag, Berlin, 1995.

    Google Scholar 

  48. B. B. Rieger. Tree-like Dispositional Dependency Structures for Nonpropositional Semantic Inferencing: A SCIP Approach to Natural Language Understanding by Machine. In B. Bouchon-Meunier and R. Yager, editors, Proceedings of the 7th International Conference on Information Processing and Management of Uncertainty in Knowledge-based Systems (IPMU-198), pages 351–358, Paris, 1998.

    Google Scholar 

  49. T. A. Sebeok. Sign: An Introduction to Semiotics. University of Toronto Press, Toronto, 1995.

    Google Scholar 

  50. R. S. Westfall. Never at Rest: A Biography of Isaac Newton. Cambridge University Press, Cambridge, 1983.

    MATH  Google Scholar 

  51. L. A. Zadeh. Information Granulation and its Centrality in Human and Machine Intelligence. In Proceedings of the 1997 Conference on Intelligent Systems and Semiotics, pages 26–30, Gaithersburg, 1997.

    Google Scholar 

  52. S. Zeki. A Vision of the Brain. Blackwell, Oxford, 1993.

    Google Scholar 

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Perlovsky, L.I. (2007). Neural Networks, Fuzzy Models and Dynamic Logic. In: Aspects of Automatic Text Analysis. Studies in Fuzziness and Soft Computing, vol 209. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-37522-7_17

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  • DOI: https://doi.org/10.1007/978-3-540-37522-7_17

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-37520-3

  • Online ISBN: 978-3-540-37522-7

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