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International Workshop on Intuitionistic Fuzzy Sets and Generalized Nets

IWIFSGN 2016: Uncertainty and Imprecision in Decision Making and Decision Support: Cross-Fertilization, New Models and Applications pp 30–35Cite as

Strong Law of Large Numbers on D-posets

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Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 559))

Abstract

Laws of large numbers are very important results in the standard probability theory. Especially the Strong Law of Large Numbers is one of the most important version of them. In this contribution, we get more general version of the Strong Law of Large Numbers, in which we change \(\sigma -\)algebra by an algebraic structure called D-poset, which was introduced by F. Chovanec and F. Kôpka in [2].

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References

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Authors and Affiliations

  1. Faculty of Natural Sciences, Matej Bel University, Tajovského 40, Banská Bystrica, Slovakia

    Jaroslav Považan

Authors
  1. Jaroslav Považan
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Correspondence to Jaroslav Považan .

Editor information

Editors and Affiliations

  1. Department of Bioinformatics and Mathematical Modelling, Bulgarian Academy of Sciences, Sofia, Bulgaria

    Krassimir T. Atanassov

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

    Janusz Kacprzyk

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

    Andrzej Kałuszko

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

    Maciej Krawczak

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

    Jan Owsiński

  6. Faculty of Technical Sciences, “Prof. Assen Zlatarov” University, Bourgas, Bulgaria

    Sotir Sotirov

  7. Faculty of Technical Sciences, “Prof. Assen Zlatarov” University, Bourgas, Bulgaria

    Evdokia Sotirova

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

    Eulalia Szmidt

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

    Sławomir Zadrożny

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Považan, J. (2018). Strong Law of Large Numbers on D-posets. In: Atanassov, K., et al. Uncertainty and Imprecision in Decision Making and Decision Support: Cross-Fertilization, New Models and Applications. IWIFSGN 2016. Advances in Intelligent Systems and Computing, vol 559. Springer, Cham. https://doi.org/10.1007/978-3-319-65545-1_4

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  • DOI: https://doi.org/10.1007/978-3-319-65545-1_4

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-65544-4

  • Online ISBN: 978-3-319-65545-1

  • eBook Packages: EngineeringEngineering (R0)

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