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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2022, Volume 204, Pages 160–169
DOI: https://doi.org/10.36535/0233-6723-2022-204-160-169 (Mi into951) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Extremal properties of means of fuzzy random variables

V. L. Khatskevichab

a Russian Air Force Military Educational and Scientific Center of the "N. E. Zhukovskiy and Yu. A. Gagarin Air Force Academy", Voronezh
b N.E. Zhukovsky Military Engineering Academy
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DOI: https://doi.org/10.36535/0233-6723-2022-204-160-169
Abstract: In this paper, we examine extremal properties of fuzzy expectations and expectations of fuzzy random variables. We introduce a new mean characteristic—a scalar random variable that characterizes a given fuzzy random variable—and prove its extremal properties. Also, we study linear regressions of fuzzy random variables, obtain a formula for the optimal linear fuzzy regression, and prove that its correlation with the predicted value is maximal.
Keywords: fuzzy random variable, mean value, extremal property.
Document Type: Article
UDC: 519.24
MSC: 60K10
Language: Russian
Citation: V. L. Khatskevich, “Extremal properties of means of fuzzy random variables”, Proceedings of the Voronezh spring mathematical school  "Modern methods of the theory of boundary-value problems. Pontryagin  readings – XXXI". Voronezh, May 3-9, 2020, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 204, VINITI, Moscow, 2022, 160–169
Citation in format AMSBIB
\Bibitem{Kha22}
\by V.~L.~Khatskevich
\paper Extremal properties of means of fuzzy random variables
\inbook Proceedings of the Voronezh spring mathematical school 
"Modern methods of the theory of boundary-value problems. Pontryagin  readings – XXXI".
Voronezh, May 3-9, 2020
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2022
\vol 204
\pages 160--169
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into951}
\crossref{https://doi.org/10.36535/0233-6723-2022-204-160-169}
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