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On Fuzziness pp 797-811 | Cite as

Living in an Uncertain Universe

  • Brian R. Gaines
Part of the Studies in Fuzziness and Soft Computing book series (STUDFUZZ, volume 299)

Abstract

It has been interesting to revisit the era when my path crossed with those of John Andreae, Joe Goguen, George Klir, Ladislav Kohout, Abe Mamdani, Gordon Pask, Ted Poppelbaum and Lotfi Zadeh, all precious friends and colleagues, some of whom are, unfortunately, no longer with us; their ideas live on and flourish as a continuing inspiration. I was tempted to entitle this article after Gurdieff, Meetings with Remarkable People, and that will be its focus, particularly the background to the initial development of fuzzy controllers. There have been studies analyzing their history and the basis of their success—this article provides some details from my personal experience.

Keywords

Fuzzy Logic Fuzzy Control Fuzzy Controller Fuzzy Logic Controller Fuzzy Reasoning 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    Aleksander, I., Mamdani, E.H.: Microcircuit Learning Nets: Improved Pattern Recognition by Means of Pattern Feedback. Electronics Letters 4(20), 425–426 (1968)CrossRefGoogle Scholar
  2. 2.
    Ashby, W.R.: Design for a Brain. Chapman Hall, London (1952)Google Scholar
  3. 3.
    Ashby, W.R.: The Set Theory of Mechanism and Homeostasis, Biological Computer Laboratory, Technical report 4.7, University of Illinois (1962)Google Scholar
  4. 4.
    Assilian, S.: Artificial intelligence in the Control of Real Dynamic Systems, Ph.D. thesis (1974), http://qmro.qmul.ac.uk/jspui/handle/123456789/1450
  5. 5.
    Carnap, R.: Logical Foundations of Probability. University of Chicago Press, Chicago (1950)zbMATHGoogle Scholar
  6. 6.
    Chang, C.C.: Infinite Valued Logic as a Basis for Set Theory, Logic, Methodology and Philosophy of Science. In: Bar-Hillel, Y. (ed.) Proceedings of the 1964 International Congress, pp. 93–100. North-Holland, Amsterdam (1965)Google Scholar
  7. 7.
    Fortun, M., Bernstein, H.J.: Muddling Through: Pursuing Science and Truths in the 21st Century. Counterpoint, Washington (1998)Google Scholar
  8. 8.
    Gaines, B.R.: Stochastic Computing Arrangement, UK Patent 1, pp. 184, 652 (1966)Google Scholar
  9. 9.
    Gaines, B.R.: Stochastic omputer Thrives on Noise. Electronics, 72–79 (1967)Google Scholar
  10. 10.
    Gaines, B.R.: Stochastic Computing. In: Spring Joint Computer Conference, vol. 30, pp. 149–156. AFIPS, Atlantic City (1967)Google Scholar
  11. 11.
    Gaines, B.R.: Techniques of Identification with the Stochastic Computer. In: Proceedings IFAC Symposium on the Problems of Identification in Automatic Control Systems, pp. 1–10 (1967)Google Scholar
  12. 12.
    Gaines, B.R.: Axioms for Adaptive Behaviour. International Journal of Man-Machine Studies 4, 169–199 (1972)zbMATHCrossRefGoogle Scholar
  13. 13.
    Gaines, B.R.: The Learning of Perceptual-motor Skills by Men and Machines and its Relationship to Training. Instructional Science 1(3), 263–312 (1972)CrossRefGoogle Scholar
  14. 14.
    Gaines, B.R.: A Calculus of Possibility, Eventuality and Probability, Technical Report EES-MMS-FUZI-75, Department of Electrical Engineering Science, University of Essex (1975)Google Scholar
  15. 15.
    Gaines, B.R.: Stochastic and fuzzy logics. Electronics Letters 11(9), 188–189 (1975)MathSciNetCrossRefGoogle Scholar
  16. 16.
    Gaines, B.R.: Foundations of Fuzzy Reasoning. International Journal of Man-Machine Studies 8(6), 623–668 (1976)MathSciNetzbMATHCrossRefGoogle Scholar
  17. 17.
    Gaines, B.R.: Research Notes on Fuzzy Reasoning. In: Mamdani, E.H., Gaines, B.R. (eds.) Discrete Systems and Fuzzy Reasoning, pp. 45–49. University of Essex, Colchester (1976)Google Scholar
  18. 18.
    Gaines, B.R.: Fuzzy and Probability Uncertainty Logics. Information and Control 38(2), 154–169 (1978)MathSciNetzbMATHCrossRefGoogle Scholar
  19. 19.
    Gaines, B.R.: Precise Past—Fuzzy Future. International Journal of Man-Machine Studies 19(1), 117–134 (1983)MathSciNetCrossRefGoogle Scholar
  20. 20.
    Gaines, B.R.: Designing Visual Languages for Description Logics. Journal of Logic, Language and Information 18(2), 217–250 (2009)CrossRefGoogle Scholar
  21. 21.
    Gaines, B.R.: Human Rationality Challenges Universal Logic. Logica Universalis 4(2), 163–205 (2010)MathSciNetzbMATHCrossRefGoogle Scholar
  22. 22.
    Gaines, B.R.: Knowledge Capture Through the Millennia: From Cuneiform to the Semantic Web. In: Proceedings of the Sixth International Conference Knowledge Capture, K-CAP 2011. ACM, New York (2011)Google Scholar
  23. 23.
    Gaines, B.R., Andreae, J.H.: A Learning Machine in the Context of the General Control Problem. In: Proceedings of the 3rd Congress of the International Federation for Automatic Control. Butterworths, London (1966)Google Scholar
  24. 24.
    Gaines, B.R., Kohout, L.J.: The Logic of Automata. International Journal of General Systems 2(1), 191–208 (1975)CrossRefGoogle Scholar
  25. 25.
    Gaines, B.R., Kohout, L.J.: Possible Automata. In: Proceedings of the International Symposium Multiple – Valued Logic, pp. 183–196. IEEE, Long Beach (1975)Google Scholar
  26. 26.
    Gaines, B.R., Kohout, L.J.: The Fuzzy Decade: A Bibliography of Fuzzy Systems and Closely Related Topics. International Journal of Man-Machine Studies 9, 1–68 (1977)zbMATHCrossRefGoogle Scholar
  27. 27.
    Gaines, B.R., Shaw, M.L.G.: Computer Aided Constructivism. In: Caputi, P., Viney, L.L., Walker, B.M., Nadia, C. (eds.) Constructivist Methods, pp. 183–222. Wiley, New York (2012)Google Scholar
  28. 28.
    Goguen, J.A.: Realization is Universal. Mathematical System Theory 6(2), 359–374 (1972)MathSciNetCrossRefGoogle Scholar
  29. 29.
    Goguen, J.A.: Concept Representation in Natural and Artificial Languages: Axioms, Extensions and Applications for Fuzzy Sets. International Journal of Man-Machine Studies 6, 513–561 (1974)MathSciNetzbMATHCrossRefGoogle Scholar
  30. 30.
    Hay, L.S.: Axiomatization of the Infinite-valued Predicate Calculus. Journal of Symbolic Logic 28(1), 77–86 (1963)MathSciNetCrossRefGoogle Scholar
  31. 31.
    Herman, R.: Computing with a Human Face. New Scientist 94(1304), 368–371 (1982)Google Scholar
  32. 32.
    Kilmer, W.L.: Biological Applications of the Theory of Fuzzy Sets and Fuzzy Algorithms. In: Procter, L.D. (ed.) Biocybernetics of the Central Nervous System. Little Brown, Boston (1969)Google Scholar
  33. 33.
    Luria, A.R.: The Role of Speech in the Regulation of Normal and Abnormal Behavior. Pergamon Press, Oxford (1961)Google Scholar
  34. 34.
    Mamdani, E.H., Trillas, E.: Correspondence between an Experimentalist and a Theoretician. In: Trillas, E., Bonissone, P.P., Magdalena, L., Kacprzyk, J. (eds.) Combining Experimentation and Theory. STUDFUZZ, vol. 271, pp. 1–18. Springer, Heidelberg (2011)CrossRefGoogle Scholar
  35. 35.
    Mamdani, E.H.: Advances in the Linguistic Synthesis of Fuzzy Controllers. International Journal of Man-Machine Studies 8, 669–678 (1976)zbMATHCrossRefGoogle Scholar
  36. 36.
    Mamdani, E.H., Sedrak, A.: An Experiment in Linguistic Synthesis with a Fuzzy Logic controller. International Journal of Man-Machine Studies 7(1), 1–13 (1975)zbMATHCrossRefGoogle Scholar
  37. 37.
    Mamdani, E.H., Gaines, B.R.: Discrete Systems and Fuzzy Reasoning. University of Essex, Colchester (1976)Google Scholar
  38. 38.
    Pask, G., Scott, B.C.E., Kallikourdis, D.: A Theory of Conversations and Individuals (Exemplified by the Learning Process on CASTE). International Journal of Man-Machine Studies 5, 443–566 (1973)zbMATHCrossRefGoogle Scholar
  39. 39.
    Peray, K.E., Waddell, J.J.: The Rotary Cement Kiln. Chemical Publishing, New York (1972)Google Scholar
  40. 40.
    Poppelbaum, W.J., Afuso, C., Esch, J.W.: Stochastic computing elements and systems. In: Proceedings of the American Federation of Information Processing Societies, Fall Joint Computer Conference, vol. 31, pp. 635–644. Books, Inc., New York (1967)Google Scholar
  41. 41.
    Rescher, N.: A Probabilistic Approach to Modal Logic. Acta Philosophica Fennica 16, 215–226 (1963)MathSciNetzbMATHGoogle Scholar
  42. 42.
    Savage, L.J.: The Foundations of Statistics. Wiley, New York (1954)zbMATHGoogle Scholar
  43. 43.
    Shackle, G.L.S.: Decision, Order and Time in Human Affairs. Cambridge University Press, Cambridge (1961)Google Scholar
  44. 44.
    Shaw, M.L.G., Gaines, B.R.: Comparing Conceptual Structures: Consensus, Conflict, Correspondence and Contrast. Knowledge Acquisition 1(4), 341–363 (1989)CrossRefGoogle Scholar
  45. 45.
    Moh, S.-K.: Logical Paradoxes for Many-valued Systems. Journal of Symbolic Logic 19(1), 37–40 (1954)MathSciNetzbMATHCrossRefGoogle Scholar
  46. 46.
    Sommerhoff, G.: Analytical Biology. Oxford University Press, London (1950)Google Scholar
  47. 47.
    White, R.B.: The onsistency of the Axiom of Comprehension in the Infinite-valued Predicate Logic of Łukasiewicz. Journal of Philosophical Logic 8(1), 509–534 (1979)MathSciNetzbMATHCrossRefGoogle Scholar
  48. 48.
    Zadeh, L.A.: On the Definition of Adaptivity. Proceedings IEEE 51(3), 469–470 (1963)CrossRefGoogle Scholar
  49. 49.
    Zadeh, L.A.: The Concept of State in System Theory. In: Mesarovic, M.D. (ed.) Views on General Systems Theory, pp. 39–50. Wiley, New York (1964)Google Scholar
  50. 50.
    Zadeh, L.A.: Fuzzy Sets. Information and Control 8, 338–353 (1965)MathSciNetzbMATHCrossRefGoogle Scholar
  51. 51.
    Zadeh, L.A.: Outline of a New Approach to the Analysis of Complex Systems and Decision Processes. IEEE Transactions Systems, Man & Cybernetics SMC-3(1), 28–44 (1973)MathSciNetCrossRefGoogle Scholar
  52. 52.
    Zadeh, L.A.: A Fuzzy-algorithmic Approach to the Definition of Complex or Imprecise Concepts. International Journal Man-Machine Studies 8, 249–291 (1976)MathSciNetzbMATHCrossRefGoogle Scholar
  53. 53.
    Zadeh, L.A., Desoer, C.A.: Linear system theory: The state space approach. McGraw-Hill, New York (1963)zbMATHGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Brian R. Gaines
    • 1
  1. 1.University of Calgary and University of VictoriaVictoriaCanada

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