scholarly journals Several Extended Mean-variance Fuzzy Portfolio Selection Models Based on Possibility Theory

2019 ◽  
Vol 1212 ◽  
pp. 012027
Author(s):  
Suhailywati Ramli ◽  
Saiful Hafizah Jaaman
Keyword(s):  
Portfolio Selection ◽  
Possibility Theory ◽  
Selection Models ◽  
Fuzzy Portfolio Selection ◽  
Mean Variance

scholarly journals Fuzzy Portfolio Optimization of Power Generation Assets

Energies ◽  
2018 ◽  
Vol 11 (11) ◽  
pp. 3043
Author(s):  
Barbara Glensk ◽  
Reinhard Madlener
Keyword(s):  
Power Generation ◽  
Decision Making ◽  
Portfolio Selection ◽  
Probabilistic Approach ◽  
Mean Absolute Deviation ◽  
Membership Functions ◽  
Absolute Deviation ◽  
Selection Models ◽  
Fuzzy Portfolio Selection ◽  
Aspiration Levels

Fuzzy theory is proposed as an alternative to the probabilistic approach for assessing portfolios of power plants, in order to capture the complex reality of decision-making processes. This paper presents different fuzzy portfolio selection models, where the rate of returns as well as the investor’s aspiration levels of portfolio return and risk are regarded as fuzzy variables. Furthermore, portfolio risk is defined as a downside risk, which is why a semi-mean-absolute deviation portfolio selection model is introduced. Finally, as an illustration, the models presented are applied to a selection of power generation mixes. The efficient portfolio results show that the fuzzy portfolio selection models with different definitions of membership functions as well as the semi-mean-absolute deviation model perform better than the standard mean-variance approach. Moreover, introducing membership functions for the description of investors’ aspiration levels for the expected return and risk shows how the knowledge of experts, and investors’ subjective opinions, can be better integrated in the decision-making process than with probabilistic approaches.

A novel probabilistic hesitant fuzzy portfolio selection model with value-at-risk and safety level of score

2020 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Xue Deng ◽  
Weimin Li
Keyword(s):  
At Risk ◽  
Portfolio Selection ◽  
Value At Risk ◽  
Selection Model ◽  
Selection Models ◽  
Content Type ◽  
Fuzzy Portfolio Selection ◽  
Fuzzy Environment ◽  
Portfolio Selection Model

Purpose This paper aims to propose two portfolio selection models with hesitant value-at-risk (HVaR) – HVaR fuzzy portfolio selection model (HVaR-FPSM) and HVaR-score fuzzy portfolio selection model (HVaR-S-FPSM) – to help investors solve the problem that how bad a portfolio can be under probabilistic hesitant fuzzy environment. Design/methodology/approach It is strictly proved that the higher the probability threshold, the higher the HVaR in HVaR-S-FPSM. Numerical examples and a case study are used to illustrate the steps of building the proposed models and the importance of the HVaR and score constraint. In case study, the authors conduct a sensitivity analysis and compare the proposed models with decision-making models and hesitant fuzzy portfolio models. Findings The score constraint can make sure that the portfolio selected is profitable, but will not cause the HVaR to decrease dramatically. The investment proportions of stocks are mainly affected by their HVaRs, which is consistent with the fact that the stock having good performance is usually desirable in portfolio selection. The HVaR-S-FPSM can find portfolios with higher HVaR than each single stock and has little sacrifice of extreme returns. Originality/value This paper fulfills a need to construct portfolio selection models with HVaR under probabilistic hesitant fuzzy environment. As a downside risk, the HVaR is more consistent with investors’ intuitions about risks. Moreover, the score constraint makes sure that undesirable portfolios will not be selected.

scholarly journals A Simple View on the Interval and Fuzzy Portfolio Selection Problems

Entropy ◽  
2020 ◽  
Vol 22 (9) ◽  
pp. 932
Author(s):  
Krzysztof Kaczmarek ◽  
Ludmila Dymova ◽  
Pavel Sevastjanov
Keyword(s):  
Portfolio Selection ◽  
Portfolio Risk ◽  
Bicriteria Optimization ◽  
Variance Model ◽  
Fuzzy Portfolio Selection ◽  
Optimization Task ◽  
Maximal Profit ◽  
Mathematical Formalization ◽  
Mean Variance ◽  
Fuzzy Setting

In this paper, first we show that the variance used in the Markowitz’s mean-variance model for the portfolio selection with its numerous modifications often does not properly present the risk of portfolio. Therefore, we propose another treating of portfolio risk as the measure of possibility to earn unacceptable low profits of portfolio and a simple mathematical formalization of this measure. In a similar way, we treat the criterion of portfolio’s return maximization as the measure of possibility to get a maximal profit. As the result, we formulate the portfolio selection problem as a bicriteria optimization task. Then, we study the properties of the developed approach using critical examples of portfolios with interval and fuzzy valued returns. The α-cuts representation of fuzzy returns was used. To validate the proposed method, we compare the results we got using it with those obtained with the use of fuzzy versions of seven widely reputed methods for portfolio selection. As in our approach we deal with the bicriteria task, the three most popular methods for local criteria aggregation are compared using the known example of fuzzy portfolio consist of five assets. It is shown that the results we got using our approach to the interval and fuzzy portfolio selection reflect better the essence of this task than those obtained by widely reputed traditional methods for portfolio selection in the fuzzy setting.

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