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The Wabl/Ldev/Rdev Median of a Random Fuzzy Number and Statistical Properties

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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

In this paper the population and sample medians of a real-valued random variable are generalized to deal with random fuzzy numbers. The extension is based on a representation of fuzzy numbers for which necessary and sufficient conditions to characterize them have been previously established. Relevant statistical properties for these medians are studied.

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References

  1. Puri, M.L., Ralescu, D.A.: Fuzzy random variables. J. Math. Anal. Appl. 114, 409–422 (1986)

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  2. Sinova, B., Casals, M.R., Colubi, A., Gil, M.Á.: The median of a random interval. In: Borgelt, C., González-Rodríguez, G., Trutschnig, W., Lubiano, M.A., Gil, M.Á., Grzegorzewski, P., Hryniewicz, O. (eds.) Combining Soft Computing and Statistical Methods in Data Analysis. AISC, vol. 77, pp. 575–583. Springer, Heidelberg (2010)

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  3. Sinova, B., De la Rosa de Sáa, S., Gil, M.A.: A generalized L 1-type metric between fuzzy numbers for an approach to central tendency of fuzzy data. Inform. Sci. 242, 22–34 (2013)

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  5. Sinova, B., Gil, M.A., López, M.T., Van Aelst, S.: A parameterized L 2 metric between fuzzy numbers and its parameter interpretation. Fuzzy Sets Syst. 245, 101–115 (2014)

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Authors and Affiliations

  1. Departamento de Estadística e I.O. y D.M., Universidad de Oviedo, 33007, Oviedo, Spain

    Beatriz Sinova, Sonia Pérez-Fernández & Manuel Montenegro

  2. Department of Applied Mathematics, Computer Science and Statistics, Ghent University, 9000, Gent, Belgium

    Beatriz Sinova

Authors
  1. Beatriz Sinova
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  2. Sonia Pérez-Fernández
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  3. Manuel Montenegro
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Corresponding author

Correspondence to Beatriz Sinova .

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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Sinova, B., Pérez-Fernández, S., Montenegro, M. (2015). The Wabl/Ldev/Rdev Median of a Random Fuzzy Number and Statistical Properties. 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_17

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  • DOI: https://doi.org/10.1007/978-3-319-10765-3_17

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-10764-6

  • Online ISBN: 978-3-319-10765-3

  • eBook Packages: EngineeringEngineering (R0)

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