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On the Continuity of Probability on IF Sets

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Strengthening Links Between Data Analysis and Soft Computing

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 315))

Abstract

Starting with a descriptive characterization of probability on the intuitionistic fuzzy sets, different formulations of continuity are presented. The main instrument is a Cignoli representation theorem on IF probabilities by classical Kolmogorovian probabilities.

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Author information

Authors and Affiliations

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

    Beloslav Riečan & Alžbeta Michalíková

  2. Mathematical Institute, Slovak Academy of Sciences, Štefánikova 49, Bratislava, Slovakia

    Beloslav Riečan

Authors
  1. Beloslav Riečan
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  2. Alžbeta Michalíková
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Corresponding author

Correspondence to Beloslav Riečan .

Editor information

Editors and Affiliations

  1. Polish Academy of Sciences, Faculty of Mathematics and Information Sciences, Systems Research Institute and Warsaw University of Technology, Warsaw, Poland

    Przemyslaw Grzegorzewski

  2. Polish Academy of Sciences, Faculty of Mathematics and Information Sciences, Systems Research Institute and Warsaw University of Technology, Warsaw, Poland

    Marek Gagolewski

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

    Olgierd Hryniewicz

  4. Departamento de Estadistica e I.O. y D.M., University of Oviedo, Oviedo, Spain

    María Ángeles Gil

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Riečan, B., Michalíková, A. (2015). On the Continuity of Probability on IF Sets. In: Grzegorzewski, P., Gagolewski, M., Hryniewicz, O., Gil, M. (eds) Strengthening Links Between Data Analysis and Soft Computing. Advances in Intelligent Systems and Computing, vol 315. Springer, Cham. https://doi.org/10.1007/978-3-319-10765-3_8

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  • DOI: https://doi.org/10.1007/978-3-319-10765-3_8

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-10764-6

  • Online ISBN: 978-3-319-10765-3

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