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Published in: International Journal of Machine Learning and Cybernetics 9/2022

06-04-2022 | Original Article

Uncertain random portfolio optimization via semi-variance

Authors: Guangquan Cheng, Hamed Ahmadzade, Mehran Farahikia, Masoud Yarmohammadi

Published in: International Journal of Machine Learning and Cybernetics | Issue 9/2022

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Abstract

Semi-variance is a similar measure to variance, but it only considers values that are below the expected value. As important roles of semi-variance in finance, this paper proposes the concept of semi-variance for uncertain random variables. Also, a computational approach for semi-variance is provided via inverse uncertainty distribution. As an application in finance, portfolio selection problems of uncertain random returns are solved by minimizing semi-variance in mean-semi variance models. For better illustration, mean-semi variance model is compared with mean-variance one. Finally, for better understanding, some tables, figures and outputs are provided.

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Literature
1.
go back to reference Ahmadzade H, Gao R (2020) Covariance of uncertain random variables and its application to portfolio optimization. J Ambient Intell Humaniz Comput 11:2613–2624CrossRef Ahmadzade H, Gao R (2020) Covariance of uncertain random variables and its application to portfolio optimization. J Ambient Intell Humaniz Comput 11:2613–2624CrossRef
2.
go back to reference Ahmadzade H, Gao R, Naderi H, Farahikia M (2020) Partial divergence measure of uncertain random variables and its application. Soft Comput 24:501–512MATHCrossRef Ahmadzade H, Gao R, Naderi H, Farahikia M (2020) Partial divergence measure of uncertain random variables and its application. Soft Comput 24:501–512MATHCrossRef
3.
go back to reference Ahmadzade H, Gao R, Dehghan MH, Sheng Y (2017) Partial entropy of uncertain random variables. J Intell Fuzzy Syst 33:105–112MATHCrossRef Ahmadzade H, Gao R, Dehghan MH, Sheng Y (2017) Partial entropy of uncertain random variables. J Intell Fuzzy Syst 33:105–112MATHCrossRef
4.
go back to reference Ahmadzade H, Sheng YH, Hassantabar Darzi F (2017) Some results of moments of uncertain random variables. Iran J Fuzzy Syst 14(2):1–21MathSciNetMATH Ahmadzade H, Sheng YH, Hassantabar Darzi F (2017) Some results of moments of uncertain random variables. Iran J Fuzzy Syst 14(2):1–21MathSciNetMATH
5.
go back to reference Ayub U, Shah S, Abbas Q (2015) Robust analysis for downside risk in portfolio management for a volatile stock market. Econ Model 44:86–96CrossRef Ayub U, Shah S, Abbas Q (2015) Robust analysis for downside risk in portfolio management for a volatile stock market. Econ Model 44:86–96CrossRef
6.
go back to reference Chen L, Peng J, Zhang B, Rosyida I (2017) Diversified models for portfolio selection based on uncertain semivariance. Int J Syst Sci 48(3):1–12MathSciNetMATH Chen L, Peng J, Zhang B, Rosyida I (2017) Diversified models for portfolio selection based on uncertain semivariance. Int J Syst Sci 48(3):1–12MathSciNetMATH
8.
go back to reference Gao JW, Yao K (2015) Some concepts and theorems of uncertain random process. Int J Intell Syst 30(1):52–65CrossRef Gao JW, Yao K (2015) Some concepts and theorems of uncertain random process. Int J Intell Syst 30(1):52–65CrossRef
9.
go back to reference Guo Q, Li J, Zou C, Guo Y, Yan W (2012) A class of multiperiod semi-variance portfolio for petroleum exploration and development. Int J Syst Sci 43(10):1883–1890MATHCrossRef Guo Q, Li J, Zou C, Guo Y, Yan W (2012) A class of multiperiod semi-variance portfolio for petroleum exploration and development. Int J Syst Sci 43(10):1883–1890MATHCrossRef
10.
go back to reference Hou YC (2014) Subadditivity of chance measure. J Uncertainty Anal Appl 2:Article 14CrossRef Hou YC (2014) Subadditivity of chance measure. J Uncertainty Anal Appl 2:Article 14CrossRef
11.
go back to reference Ke H, Su TY, Ni YD (2015) Uncertain random multilevel programming with application to product control problem. Soft Comput 19(6):1739–1746MATHCrossRef Ke H, Su TY, Ni YD (2015) Uncertain random multilevel programming with application to product control problem. Soft Comput 19(6):1739–1746MATHCrossRef
12.
13.
go back to reference Liu B (2009) Some research problems in uncertainty theory. J Uncertain Syst 3(1):3–10 Liu B (2009) Some research problems in uncertainty theory. J Uncertain Syst 3(1):3–10
14.
15.
go back to reference Liu B (2010) Uncertainty theory: a branch of mathematics for modeling human uncertainty. Springer, BerlinCrossRef Liu B (2010) Uncertainty theory: a branch of mathematics for modeling human uncertainty. Springer, BerlinCrossRef
16.
go back to reference Liu B (2012) Why is there a need for uncertainty theory? J Uncertain Syst 6(1):3–10 Liu B (2012) Why is there a need for uncertainty theory? J Uncertain Syst 6(1):3–10
17.
go back to reference Liu B (2013) Toward uncertain finance theory. J Uncertain Anal Appl 1:Article 1CrossRef Liu B (2013) Toward uncertain finance theory. J Uncertain Anal Appl 1:Article 1CrossRef
18.
go back to reference Liu YH, Ha MH (2010) Expected value of function of uncertain variables. J Uncertain Syst 4(3):181–186 Liu YH, Ha MH (2010) Expected value of function of uncertain variables. J Uncertain Syst 4(3):181–186
19.
go back to reference Liu YH (2013) Uncertain random variables: a mixture of uncertainty and randomness. Soft Comput 17(4):625–634MATHCrossRef Liu YH (2013) Uncertain random variables: a mixture of uncertainty and randomness. Soft Comput 17(4):625–634MATHCrossRef
21.
22.
23.
go back to reference Markowitz H (1959) Portfolio selection: efficient diversification of investments. Wiley, New York Markowitz H (1959) Portfolio selection: efficient diversification of investments. Wiley, New York
24.
go back to reference Mansinia R, Ogryczakb W, Speranzac M (2014) Twenty years of linear programming based portfolio optimization. Eur J Oper Res 234(2):518–535MathSciNetCrossRef Mansinia R, Ogryczakb W, Speranzac M (2014) Twenty years of linear programming based portfolio optimization. Eur J Oper Res 234(2):518–535MathSciNetCrossRef
25.
go back to reference Sheng YH, Samarjit K (2015) Some results of moments of uncertain variable through inverse uncertainty distribution. Fuzzy Optim Decis Making 14(1):57–76MathSciNetMATHCrossRef Sheng YH, Samarjit K (2015) Some results of moments of uncertain variable through inverse uncertainty distribution. Fuzzy Optim Decis Making 14(1):57–76MathSciNetMATHCrossRef
26.
go back to reference Sheng Y, Shi G, Ralescu DA (2015) Entropy of uncertain random variables with application to minimum spanning tree problem. Int J Uncertain Fuzziness Knowl-Based Syst 25:1–17MathSciNet Sheng Y, Shi G, Ralescu DA (2015) Entropy of uncertain random variables with application to minimum spanning tree problem. Int J Uncertain Fuzziness Knowl-Based Syst 25:1–17MathSciNet
27.
go back to reference Yan W, Li S (2009) Futures price modeling under exchange rate volatility and its multi-period semi-variance portfolio selection. Int J Syst Sci 40(11):1139–1148MathSciNetMATHCrossRef Yan W, Li S (2009) Futures price modeling under exchange rate volatility and its multi-period semi-variance portfolio selection. Int J Syst Sci 40(11):1139–1148MathSciNetMATHCrossRef
28.
go back to reference Yao K (2015) A formula to calculate the variance of uncertain variable. Soft Comput 19(10):2947–2953MATHCrossRef Yao K (2015) A formula to calculate the variance of uncertain variable. Soft Comput 19(10):2947–2953MATHCrossRef
Metadata
Title
Uncertain random portfolio optimization via semi-variance
Authors
Guangquan Cheng
Hamed Ahmadzade
Mehran Farahikia
Masoud Yarmohammadi
Publication date
06-04-2022
Publisher
Springer Berlin Heidelberg
Published in
International Journal of Machine Learning and Cybernetics / Issue 9/2022
Print ISSN: 1868-8071
Electronic ISSN: 1868-808X
DOI
https://doi.org/10.1007/s13042-022-01542-6

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