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

  • Michał K. Urbański
  • Kinga M. Wójcicka
  • Paweł M. WójcickiEmail author
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 1081)


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.


Fuzzy number Level set Confidence interval Probability to possibility transformation 


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Authors and Affiliations

  • Michał K. Urbański
    • 1
  • Kinga M. Wójcicka
    • 1
  • Paweł M. Wójcicki
    • 2
    Email author
  1. 1.Faculty of PhysicsWarsaw University of TechnologyWarsawPoland
  2. 2.Faculty of Mathematics and Information ScienceWarsaw University of TechnologyWarsawPoland

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