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May 2, 2026Pattern Recognition and Image Analysis0 citations

Investment Portfolio Risk Assessment and Management under Hybrid Uncertainty

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ISIlia SoldatenkoAYAlexander Yazenin

Key Points

  • This research aims to develop a method for managing investment portfolio risks in hybrid uncertainty scenarios.
  • Utilized the weakest t-norm for aggregating possibilistic information.
  • Developed calculus for fuzzy random variables focusing on their expected return and risk.
  • Specified formulas for calculating expected return and risk amidst uniformly distributed factors.
  • The method allows more flexible management of uncertainty in investment portfolios.
  • Formulas enhance the assessment of expected return and risk, improving decision-making.
  • Combines results from the strongest t-norm for comprehensive analysis.

Abstract

The paper presents a method for managing risks associated with investment portfolios in situations of hybrid uncertainty. The weakest t-norm is used to aggregate possibilistic information. This necessitated the development and generalization of the calculus of fuzzy random variables, particularly the first and second moments of their weighted sum, which represents the return on an investment portfolio. Formulas for calculating the expected return and risk of a portfolio for a class of uniformly distributed factors are specified. Along with the results previously produced for the strongest t-norm, this allows for more flexible management of uncertainty in forming an investment portfolio.

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Cite This Study

Soldatenko et al. (2025) studied this question.

synapsesocial.com/papers/69f593f271405d493affec85https://doi.org/10.1134/s1054661825700920
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