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JOURNALS // Nechetkie Sistemy i Myagkie Vychisleniya // Archive

Nechetkie Sistemy i Myagkie Vychisleniya, 2021 Volume 16, Issue 1, Pages 58–69 (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

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.

UDC: 519.8

Received: 20.04.2021
Revised: 28.06.2021

DOI: 10.26456/fssc79



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