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Note on the Zadeh’s Extension Principle Based on Fuzzy Variable Approach

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Advances and New Developments in Fuzzy Logic and Technology (IWIFSGN 2019 2019)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 1308))

Abstract

In the paper the extension principle was derived from the assumption that possibility measure is maxitive and fuzzy sets are defined using fuzzy variable approach.

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Author information

Authors and Affiliations

  1. Department of Physics and Astronomy, Ångströmlaboratoriet, Uppsala University, 751 08, Uppsala, Sweden

    Adam Bzowski

  2. Faculty of Physics, Warsaw University of Technology, ul. Koszykowa 75, 00-662, Warsaw, Poland

    Michał K. Urbański & Kinga M. Wójcicka

  3. Faculty of Mathematics and Information Science, Warsaw University of Technology, ul. Koszykowa 75, 00-662, Warsaw, Poland

    Paweł M. Wójcicki

Authors
  1. Adam Bzowski
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  2. Michał K. Urbański
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  3. Kinga M. Wójcicka
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  4. Paweł M. Wójcicki
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Corresponding author

Correspondence to Adam Bzowski .

Editor information

Editors and Affiliations

  1. Department of Bioinformatics and Mathematical Modelling, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, Sofia, Bulgaria

    Krassimir T. Atanassov

  2. Department of Bioinformatics and Mathematical Modelling, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, Sofia, Bulgaria

    Vassia Atanassova

  3. Systems Research Institute, Polish Academy of Sciences, Warszawa, Poland

    Janusz Kacprzyk

  4. Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland

    Andrzej Kałuszko

  5. WIT- Warsaw School of Information Technology, Warsaw, Poland

    Maciej Krawczak

  6. Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland

    Jan W. Owsiński

  7. Intelligent Systems Laboratory Faculty of Technical Sciences, Prof. Assen Zlatarov University, Burgas, Bulgaria

    Sotir S. Sotirov

  8. Intelligent Systems Laboratory Faculty of Technical Sciences, Prof. Assen Zlatarov University, Burgas, Bulgaria

    Evdokia Sotirova

  9. Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland

    Eulalia Szmidt

  10. Systems Research Institute, Polish Academy of Sciences, Warszawa, Poland

    Sławomir Zadrożny

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Cite this paper

Bzowski, A., Urbański, M.K., Wójcicka, K.M., Wójcicki, P.M. (2021). Note on the Zadeh’s Extension Principle Based on Fuzzy Variable Approach. In: Atanassov, K.T., et al. Advances and New Developments in Fuzzy Logic and Technology. IWIFSGN 2019 2019. Advances in Intelligent Systems and Computing, vol 1308. Springer, Cham. https://doi.org/10.1007/978-3-030-77716-6_8

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