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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2022, Number 11, Pages 97–109
DOI: https://doi.org/10.26907/0021-3446-2022-11-97-109 (Mi ivm9830) 		 
This article is cited in 6 scientific papers (total in 6 papers)

On some properties of fuzzy expectations and nonlinear fuzzy expectations of fuzzy-random variables

V. L. Khatskevich

Russian Air Force Military Educational and Scientific Center of the “N.E. Zhukovsky and Yu.A. Gagarin Air Force Academy”, 54 a Staryh Bolshevikov str., Voronezh, 394064 Russia
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DOI: https://doi.org/10.26907/0021-3446-2022-11-97-109
Abstract: For fuzzy expectations of fuzzy-random variables, the properties of idempotence, homoge-neity, additivity, monotonicity, extreme property, which are modifications of the properties of mathematical expectations of real random variables, are established. Nonlinear fuzzy expectations are introduced, which are analogs of nonlinear associative means. Their properties are established.
Keywords: fuzzy-random variable, fuzzy expectations of fuzzy-random variables, nonlinear fuzzy expectations.
Received: 11.01.2022
Revised: 03.03.2022
Accepted: 08.04.2022
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2022, Volume 66, Issue 11, Pages 86–96
DOI: https://doi.org/10.3103/S1066369X22110032
Document Type: Article
UDC: 519.766
Language: Russian
Citation: V. L. Khatskevich, “On some properties of fuzzy expectations and nonlinear fuzzy expectations of fuzzy-random variables”, Izv. Vyssh. Uchebn. Zaved. Mat., 2022, no. 11, 97–109; Russian Math. (Iz. VUZ), 66:11 (2022), 86–96
Citation in format AMSBIB
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\by V.~L.~Khatskevich
\paper On some properties of fuzzy expectations and nonlinear fuzzy expectations of fuzzy-random variables
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2022
\issue 11
\pages 97--109
\mathnet{http://mi.mathnet.ru/ivm9830}
\crossref{https://doi.org/10.26907/0021-3446-2022-11-97-109}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2022
\vol 66
\issue 11
\pages 86--96
\crossref{https://doi.org/10.3103/S1066369X22110032}
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
     
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