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Nechetkie Sistemy i Myagkie Vychisleniya, 2021, Volume 16, Issue 1, Pages 58–69
DOI: https://doi.org/10.26456/fssc79
(Mi fssc79)
 

Comparative study of the behavior of the effective boundary of minimal risk portfolio in the conditions of hybrid uncertainty, depending on the restrictions on the profitability of the portfolio

A. V. Yazenin, I. S. Soldatenko

Tver State University, Tver
References:
Abstract: The paper studies the effective boundary of the minimum risk portfolio in the conditions of hybrid uncertainty. For the case of a two-dimensional portfolio, with a restriction on the expected return of the portfolio and a restriction on possibility/necessity and probability on the return of the portfolio, quasi-effective portfolio boundaries are constructed depending on the probability level. The results of numerical experiments are consistent with the theoretical results previously obtained by the authors.
Keywords: portfolio of minimal risk, probability-probabilistic optimization, constraints on possibility/necessity and probability, constraints on probability and possibility/necessity, equivalent deterministic analog, equivalent stochastic analog, fuzzy random variable, the strongest $t$ - norm.
Funding agency Grant number
Russian Foundation for Basic Research 20-01-00669-а
Received: 20.04.2021
Revised: 28.06.2021
Bibliographic databases:
Document Type: Article
UDC: 519.8
Language: Russian
Citation: A. V. Yazenin, I. S. Soldatenko, “Comparative study of the behavior of the effective boundary of minimal risk portfolio in the conditions of hybrid uncertainty, depending on the restrictions on the profitability of the portfolio”, Nechetkie Sistemy i Myagkie Vychisleniya, 16:1 (2021), 58–69
Citation in format AMSBIB
\Bibitem{YazSol21}
\by A.~V.~Yazenin, I.~S.~Soldatenko
\paper Comparative study of the behavior of the effective boundary of minimal risk portfolio in the conditions of hybrid uncertainty, depending on the restrictions on the profitability of the portfolio
\jour Nechetkie Sistemy i Myagkie Vychisleniya
\yr 2021
\vol 16
\issue 1
\pages 58--69
\mathnet{http://mi.mathnet.ru/fssc79}
\crossref{https://doi.org/10.26456/fssc79}
\elib{https://elibrary.ru/item.asp?id=46558471}
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    Nechetkie Sistemy i Myagkie Vychisleniya
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