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On the Conditional Expectation on Kôpka’s D-posets

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Uncertainty and Imprecision in Decision Making and Decision Support: Cross-Fertilization, New Models and Applications (IWIFSGN 2016)

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

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Abstract

MV-algebras are very important structure in many-valued logic. Probability theory on MV-algebras, especially on MV-algebras with product [6] has proven very useful. In this contribution we deal with one of the generalization of MV-algebras, D-posets with product called Kôpka’s D-posets. We define conditional probability on Kôpka’s D-poset and introduce a version of conditional expectation on Kôpka’s D-posets.

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Authors and Affiliations

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

    Daniela Kluvancová

Authors
  1. Daniela Kluvancová
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Correspondence to Daniela Kluvancová .

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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Kluvancová, D. (2018). On the Conditional Expectation on Kôpka’s 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_3

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  • DOI: https://doi.org/10.1007/978-3-319-65545-1_3

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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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