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.
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References
H. Kwakernaak, “Fuzzy random variables–I. Definitions and theorems,” Inform. Sci. 15 (1), 1–29 (1978).
H. Kwakernaak, “Fuzzy random variables–II. Algorithms and examples for the discrete case,” Inform. Sci. 17 (3), 253–278 (1979).
M. L. Puri and D. A. Ralescu, “Fuzzy random variables,” J. Math. Anal. Appl. 114 (2), 409–422 (1986).
A. Colubi, J. S. Dominguez-Menchero, M. Lopez-Diaz, and D. A. Ralescu, “On the formalization of fuzzy random variables,” Inform. Sci. 133 (1-2), 3–6 (2001).
V. Krätschmer, “A unified approach to fuzzy random variables,” Fuzzy Sets and Systems 123 (1), 1–9 (2001).
A. F. Shapiro, “Fuzzy random variables,” Insurance Math. Econom. 44 (2), 307–314 (2009).
A. S. Shvedov, On Fuzzy Random Variables, Preprint WP2/2013/02 (National Research University Higher School of Economics, Moscow, 2013) [in Russian].
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Original Russian Text © A. S. Shvedov, 2016, published in Matematicheskie Zametki, 2016, Vol. 100, No. 3, pp. 455–460.
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Shvedov, A.S. Quantile function of a fuzzy random variable and an expression for expectations. Math Notes 100, 477–481 (2016). https://doi.org/10.1134/S0001434616090157
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DOI: https://doi.org/10.1134/S0001434616090157