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Fuzzy Sets, Usuality and Commonsense Reasoning

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Matters of Intelligence

Part of the book series: Synthese Library ((SYLI,volume 188))

Abstract

Although fascination with the mechanization of human reasoning goes back to Leibnitz and Pascal, serious interest in artificial intelligence became manifest with the arrival of the computer age in the late forties. Since then, computers have become vastly more powerful and AI has become the subject of almost daily articles in the popular press. While it may be true that such articles are creating unrealistic expectations—as they have done throughout the history of AI—it should be borne in mind, as Jules Verne noted at the turn of the century, that scientific progress is driven by exaggerated expectations.1

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References

  1. As an example of such expectations, the opening paragraph of my paper, entitled “Thinking Machines-A New Field in Electrical Engineering,” which appeared in the January 1950 issue of Columbia Engineering Quarterly, reads: ‘Psychologists Report Memory is Electrical,’ ‘Electronic Brain Able to Translate Foreign Languages is Being Built,’ ‘Electronic Brain Does Research,’ ‘Scientists Confer on Electronic Brain,’—these are some of the headlines that were carried in newspapers throughout the nation during the past year. What is behind these headlines? How will ‘electronic brains’ or ‘thinking machines’ affect our way of living? What is the role played by electrical engineers in the design of these devices? These are some of the questions that we shall try to answer in this article.” Many more examples may be found in H. Dreyfus, What Computers Can’t Do: A Critique of Artificial Intelligence, 2nd edition, Harper and Row, New York, 1979.

    Google Scholar 

  2. L. A. Zadeh, “The concept of a linguistic variable and its application to approximate reasoning,” Information Sciences, 8 and 9, 199–249,301–357,43–80, 1975

    Article  Google Scholar 

  3. L. A. Zadeh, “A computational approach to fuzzy quantifiers in natural languages,” Computers and Mathematics, 9, 149–194, 1983a

    Google Scholar 

  4. L. A. Zadeh, “A theory of commonsense knowledge,” in: Issues of Vagueness, H. Skala, S. Termini and E. Trillas, eds., Reidel, Dordrecht, 257–296, 1983b.

    Google Scholar 

  5. R. Giles, “Foundations for a theory of possibility,” in: Fuzzy Information and Decision Processes, M. M. Gupta and E. Sanchez, eds., Amsterdam, North-Holland, 183–195, 1981.

    Google Scholar 

  6. See Zadeh, 1975

    Google Scholar 

  7. This issue is discussed in greater detail in I. R. Goodman, “Fuzzy sets as equivalence classes of random sets,” in: Recent Developments in Fuzzy Set and Possibility Theory, R. R. Yager, ed., London, Pergamon Press, 327–343, 1981.

    Google Scholar 

  8. L. A. Zadeh, “Outline of a new approach to the analysis of complex systems and decision processes”, IEEE Trans. on Systems, Man and Cybernetics, SMC-3, 28–44, 1973

    Article  Google Scholar 

  9. A. Borisov, A. V. Alekseev, O. A. Krumberg, G. V. Merkur’eva and V. A. Popov, Models of Decision-Making Based on the Concept of a Linguistic Variable, Riga, Zinatne, 1982.

    Google Scholar 

  10. Zadeh, 1975.

    Google Scholar 

  11. Qualitative Reasoning, Artificial Intelligence, 24, 1–492, 1984.

    Google Scholar 

  12. L. A. Zadeh, “A fuzzy-algorithmic approach to the definition of complex or imprecise concepts,” Int. J. Man-Machine Studies, 8, 249–291, 1976.

    Article  Google Scholar 

  13. E. H. Mamdani and S. Assilian, “An experiment in linguistic synthesis with a fuzzy logic controller,” Int. J. Man-Machine Studies, 7, 1–13, 1975.

    Article  Google Scholar 

  14. E. H. Mamdani and B. R. Gaines, eds., Fuzzy Reasoning and its Applications, London, Academic Press, 1981.

    Google Scholar 

  15. S. Murakami, “Application of fuzzy controller to automobile speed control system,” in: Proc. IFAC Conference on Fuzzy Information, Knowledge Representation and Decision Analysis, E. Sanchez and M. M. Gupta, eds., Oxford, Pergamon Press, 1983.

    Google Scholar 

  16. L. A. Zadeh, 1983b.

    Google Scholar 

  17. L. A. Zadeh, “The role of fuzzy logic in the management of uncertainty in expert systems,” Fuzzy Sets and Systems, 11, 199–227, 1983c.

    Article  Google Scholar 

  18. Zadeh, 1983a.

    Google Scholar 

  19. L. A. Zadeh, “Syllogistic reasoning in fuzzy logic and its applications to usuality and reasoning with dispositions,” IEEE Trans. Systems, Man and Cybernetics SMC-15, 754–763, 1985.

    Google Scholar 

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

    Google Scholar 

  21. See L. A. Zadeh, 1983c.

    Google Scholar 

  22. Zadeh, 1985.

    Google Scholar 

  23. Zadeh, 1983a

    Google Scholar 

  24. D. Dubois and H. Prade, “Fuzzy cardinality and the modeling of imprecise quantification,” Fuzzy Sets and Systems, 16, 199–230, 1985.

    Article  Google Scholar 

  25. L. A. Zadeh, “Probability measures of fuzzy events,” J. Math. Anal. and Appl., 23, 421–427, 1968.

    Article  Google Scholar 

  26. L. A. Zadeh, “A computational theory of dispositions,” in Proceedings of the 1984 International Conference on Computational Linguistics, Stanford University, CA., 312–318, 1984.

    Chapter  Google Scholar 

  27. Kaufmann and Gupta, 1985.

    Google Scholar 

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© 1987 D. Reidel Publishing Company, Dordrecht, Holland

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Zadeh, L.A. (1987). Fuzzy Sets, Usuality and Commonsense Reasoning. In: Vaina, L.M. (eds) Matters of Intelligence. Synthese Library, vol 188. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-3833-5_13

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  • DOI: https://doi.org/10.1007/978-94-009-3833-5_13

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-8206-8

  • Online ISBN: 978-94-009-3833-5

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