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From Crisp Sets to Fuzzy Sets

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A Practical Introduction to Fuzzy Logic using LISP

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 327))

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Abstract

We are now starting the second part of this book. After the introduction to the Lisp programming language in part I, you are now ready to begin the phase of our travel that will require the most of you. Not because it is complex, but because it represents a shift of paradigm not only in the way we think about sets, but also in the form that we usually reason and analyze things. We shall start revisiting the essentials of classic sets theory, including the concepts of belonging to a set, union and intersection of sets, general properties of sets and the concepts of Cartesian Product and Relations between sets.

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References

  • Bezdek, J.: The Parable of Zoltan. In: On Fuzziness, vol I, pp. 39–46. Springer, Berlin (2013)

    Google Scholar 

  • Brown, R.: Amyotrophic lateral sclerosis and other motor neurone diseases. In: Harrison’s Neurology in Clinical Medicine. McGraw-Hill (2010)

    Google Scholar 

  • Guyton, A.: Textbook of Medical Physiology. W B Saunders Co (1996)

    Google Scholar 

  • Klir, G., Yuan, B.: Fuzzy Sets and Fuzzy Logic: Theory and Applications. Prentice Hall (1995)

    Google Scholar 

  • Seising, R.: The Fuzzification of Systems. Springer, Berlin (2007)

    Google Scholar 

  • Trillas, E.: Non contradiction, excluded middle, and fuzzy sets. In: Fuzzy Logic and Applications, vol. 5571, pp. 1–11. Springer, Berlin (2009)

    Google Scholar 

  • Zadeh, L.A.: Fuzzy Sets. Inf. Control 8, 338–353 (1965)

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Authors and Affiliations

  1. European Centre for Soft Computing (ECSC), Mieres, Spain

    Luis Argüelles Méndez

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  1. Luis Argüelles Méndez
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Correspondence to Luis Argüelles Méndez .

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Argüelles Méndez, L. (2016). From Crisp Sets to Fuzzy Sets. In: A Practical Introduction to Fuzzy Logic using LISP. Studies in Fuzziness and Soft Computing, vol 327. Springer, Cham. https://doi.org/10.1007/978-3-319-23186-0_5

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  • DOI: https://doi.org/10.1007/978-3-319-23186-0_5

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-23185-3

  • Online ISBN: 978-3-319-23186-0

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