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Convergence of Intuitionistic Fuzzy Observables

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Book cover Uncertainty and Imprecision in Decision Making and Decision Support: New Challenges, Solutions and Perspectives (IWIFSGN 2018)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 1081))

Abstract

In the paper the space of observables with respect to a family of intuitionistic fuzzy events is considered. Two important theorems are proved: the Central limit theorem and the Strong law of large numbers. They are a basis for statistical applications. As a consequence the corresponding results for fuzzy events are obtained.

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Author information

Authors and Affiliations

  1. Mathematical Institute, Slovak Academy of Sciences, Štefánikova 49, 814 73, Bratislava, Slovakia

    Katarína Čunderlíková & Beloslav Riečan

Authors
  1. Katarína Čunderlíková
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  2. Beloslav Riečan
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Corresponding author

Correspondence to Katarína Čunderlíková .

Editor information

Editors and Affiliations

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

    Krassimir T. Atanassov

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

    Vassia Atanassova

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

    Janusz Kacprzyk

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

    Andrzej Kaluszko

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

    Maciej Krawczak

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

    Jan W. Owsinski

  7. Intelligent Systems Laboratory, Faculty of Technical Sciences, Bourgas, Bulgaria

    Sotir Sotirov

  8. Intelligent Systems Laboratory, Prof. Assen Zlatarov University, Burgas, Bulgaria

    Evdokia Sotirova

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

    Eulalia Szmidt

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

    Slawomir Zadrozny

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Čunderlíková, K., Riečan, B. (2021). Convergence of Intuitionistic Fuzzy Observables. In: Atanassov, K., et al. Uncertainty and Imprecision in Decision Making and Decision Support: New Challenges, Solutions and Perspectives. IWIFSGN 2018. Advances in Intelligent Systems and Computing, vol 1081. Springer, Cham. https://doi.org/10.1007/978-3-030-47024-1_4

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