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
Puri, M.L., Ralescu, D.A.: Fuzzy random variables. J. Math. Anal. Appl. 114, 409–422 (1986)
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)
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)
Sinova, B., Gil, M.A., Colubi, A., Van Aelst, S.: The median of a random fuzzy number. The 1-norm distance approach. Fuzzy Sets Syst. 200, 99–115 (2012)
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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© 2015 Springer International Publishing Switzerland
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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
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