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How to Generate a Level Set from a Family of Confidence Intervals

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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))

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Abstract

The aim of this paper is to describe a shifted family of confidence intervals and to examine under which conditions the family is a level set. This conditions deal with the two functions of possibility level that parameterize the confidence interval. One of these functions describes the relation between probability and possibility levels, and the second one describes the position of the confidence interval centre.

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Notes

  1. 1.

    In our case we must assume either \(\alpha < 1\) or we add \(\mathcal {A}_1\) to \(\mathcal {A}\).

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Author information

Authors and Affiliations

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

    Michał K. Urbański & Kinga M. Wójcicka

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

    Paweł M. Wójcicki

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

Correspondence to Paweł M. Wójcicki .

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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Urbański, M.K., Wójcicka, K.M., Wójcicki, P.M. (2021). How to Generate a Level Set from a Family of Confidence Intervals. 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_27

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