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On Fuzzy Sets Philosophical Foundations

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On Fuzziness

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 299))

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Abstract

Doubtlessly the motivations for the development of fuzzy logic are deemed closely associated with technologically biased concerns. In his 1962 paper -where the term fuzzy is supposed to appear for the first time in its current usage- Zadeh was primarily attentive to the emergence and evolution of system theory as well as its impact on the field of electric engineering [9], [10]. Moreover when Zadeh uses the term fuzzy in this paper, he is not cared about inanimate systems, but he is mostly troubled above animate or biological systems, which are generally orders of magnitude more complex than man-made systems. It brought himself to claim that it appears necessary to count on a radically different class of mathematics, one that accounts for fuzzy or cloudy quantities which are not describable in terms of probability distributions. Moreover even in the case of man-made systems it turns out apparent the need of such innovation.

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References

  1. Borges, J.L.: Collected Fictions, Transl. by Andrew Hurley. Penguin Books U.K. (1999)

    Google Scholar 

  2. Entemann, C.W.: Fuzzy Logic: Misconceptions and Clarifications. Artificial Intelligence Review 17, 65–84 (2002)

    Article  MATH  Google Scholar 

  3. Ronzitti, G. (ed.): Vagueness: A Guide. Springer (2011)

    Google Scholar 

  4. Schopenhauer, A.: The World as Will and as Representation, Transl. by E.F.J. Payne. Dover (1958)

    Google Scholar 

  5. Seising, R.: The Fuzzification of Systems. The Genesis of Fuzzy Set Theory and its Initial Applications – Developments up to the 1970s, 1st edn. STUDFUZZ, vol. 216. Springer, Heidelberg (2007)

    MATH  Google Scholar 

  6. Smith, R.: The Mathematical Origins of Aristotle’s Syllogistic. Archive for History of Exact Sciences 19, 201–210 (1978)

    Article  MathSciNet  MATH  Google Scholar 

  7. Tarrazo, M.: Schopenhauer’s Prolegomenon to Fuzziness. Fuzzy Optimization and Decision Making 3, 227–254 (2004)

    Article  MathSciNet  MATH  Google Scholar 

  8. Trillas, E.: On the Use of Words and Fuzzy Sets. Information Sciences 176, 1463–1487 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  9. Zadeh, L.A.: From Circuit Theory to System Theory. Proceedings of the IRE 50, 856–865 (1962)

    Article  MathSciNet  Google Scholar 

  10. Zadeh, L.A.: Fuzzy Sets. Information and Control 8, 338–353 (1965)

    Article  MathSciNet  MATH  Google Scholar 

  11. Zadeh, L.A.: Coping with the Imprecision of the Real World: An Interview with Lotfi A. Zadeh. Communications of the ACM 27(4) (April 1984)

    Google Scholar 

  12. Zadeh, L.A.: From Computing with Numbers to Computing with Words: From Manipulation of Measurements to Manipulation of Perceptions. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications 45(1), 105–111 (1999)

    Article  MathSciNet  Google Scholar 

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Urtubey, L.A. (2013). On Fuzzy Sets Philosophical Foundations. In: Seising, R., Trillas, E., Moraga, C., Termini, S. (eds) On Fuzziness. Studies in Fuzziness and Soft Computing, vol 299. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-35644-5_41

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  • DOI: https://doi.org/10.1007/978-3-642-35644-5_41

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-35643-8

  • Online ISBN: 978-3-642-35644-5

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