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Brouwer’s Ideas and Intuitionistic Fuzziness

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Interactions Between Computational Intelligence and Mathematics Part 2

Part of the book series: Studies in Computational Intelligence ((SCI,volume 794))

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Abstract

In this paper, two of Luitzen Egbertus Jan Brouwer’s ideas are discussed from intuitionistic fuzzy point of view. First, it is shown that the intuitionistic fuzziness corresponds to Brouwer’s intuitionism and second, Brouwer’s idea for fixed points is discussed for the case of the intuitionistic fuzzy quantifiers and operators from modal and level types.

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Acknowledgements

The author is grateful to the anonimous reviewers for their very valuable comments. The author is grateful for the support provided by the project Ref. No. DN-02-10/2016 funded by the Bulgarian Science Fund.

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Authors and Affiliations

  1. Department of Bioinformatics and Mathematical Modelling, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, Acad. G. Bonchev str., Bl. 105, 1113, Sofia, Bulgaria

    Krassimir Atanassov

  2. Intelligent Systems Laboratory, Prof. Asen Zlatarov University, 8010, Bourgas, Bulgaria

    Krassimir Atanassov

Authors
  1. Krassimir Atanassov
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Correspondence to Krassimir Atanassov .

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Editors and Affiliations

  1. Department of Information Technology, Széchenyi István University, Győr, Hungary

    László T. Kóczy

  2. Department of Mathematics, Faculty of Science, University of Cádiz, Cádiz, Spain

    Jesús Medina-Moreno

  3. Department of Mathematics, Faculty of Economic and Business Sciences, University of Cádiz, Cádiz, Spain

    Eloísa Ramírez-Poussa

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Atanassov, K. (2019). Brouwer’s Ideas and Intuitionistic Fuzziness. In: Kóczy, L., Medina-Moreno, J., Ramírez-Poussa, E. (eds) Interactions Between Computational Intelligence and Mathematics Part 2. Studies in Computational Intelligence, vol 794. Springer, Cham. https://doi.org/10.1007/978-3-030-01632-6_5

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