Abstract:
We consider the quantile function of a fuzzy random variable and obtain expressions for some expectations related to fuzzy random variables via integrals of quantile functions.
Keywords:
fuzzy random variable, quantile function, expectation.
Citation:
A. S. Shvedov, “Quantile Function of a Fuzzy Random Variable and an Expression for Expectations”, Mat. Zametki, 100:3 (2016), 455–460; Math. Notes, 100:3 (2016), 477–481
\Bibitem{Shv16}
\by A.~S.~Shvedov
\paper Quantile Function of a~Fuzzy Random Variable and an~Expression for Expectations
\jour Mat. Zametki
\yr 2016
\vol 100
\issue 3
\pages 455--460
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\jour Math. Notes
\yr 2016
\vol 100
\issue 3
\pages 477--481
\crossref{https://doi.org/10.1134/S0001434616090157}
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Linking options:
https://www.mathnet.ru/eng/mzm10879
https://doi.org/10.4213/mzm10879
https://www.mathnet.ru/eng/mzm/v100/i3/p455
This publication is cited in the following 7 articles:
Luis González-De La Fuente, Alicia Nieto-Reyes, Pedro Terán, “Statistical depth and support medians for fuzzy data”, Fuzzy Sets and Systems, 2025, 109257
Julien Rosset, Laurent Donzé, Lecture Notes in Networks and Systems, 1176, Information Processing and Management of Uncertainty in Knowledge-Based Systems, 2025, 247
Alexey S. Shvedov, “Bayesian-Nash equilibria for fuzzy value auctions”, EAL, 3:2 (2024), 37
Al. V. Bulinski, “On an example of expectation evaluation”, Theory Probab. Appl., 69:2 (2024), 313–321
A. S. Shvedov, “On Epsilon-Cores of Cooperative Games with Fuzzy Payoffs”, Math. Notes, 110:2 (2021), 261–266
A. S. Shvedov, “War of attrition with incomplete information and fuzzy players' types”, Autom. Remote Control, 81:7 (2020), 1279–1285
A. S. Shvedov, “Nechetkoe matematicheskoe programmirovanie: kratkii obzor”, Probl. upravl., 3 (2017), 2–10