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Published in: International Journal on Interactive Design and Manufacturing (IJIDeM) 2/2019

07-12-2018 | Original paper

Portfolio optimization based on fuzzy entropy

Authors: Mohamadtaghi Rahimi, Pranesh Kumar

Published in: International Journal on Interactive Design and Manufacturing (IJIDeM) | Issue 2/2019

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Abstract

In this paper, a general solution is presented for portfolio optimization in a situation where the expressed prices are estimated as fuzzy numbers. To reach the solution, the expected returns, semi-variance, skewness, semi-kurtosis and semi-entropy are considered with this assumption that the portfolio returns are asymmetric. In this method, all the data about the expected returns are considered and no expected return value is ignored just because of a little growth of risk. We have the conclusion by discussing an illustrative example to verify the developed approach.

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Literature
1.
go back to reference Markowitz, H.: Portfolio selection. J. Finance 7, 77–91 (1952) Markowitz, H.: Portfolio selection. J. Finance 7, 77–91 (1952)
2.
go back to reference Grauer, R.R., Hakansson, N.H.: On the use of mean-variance and quadratic approximations in implementing dynamic investment strategies: a comparison of returns and investment policies. Manag. Sci. 39, 856–871 (1993)CrossRef Grauer, R.R., Hakansson, N.H.: On the use of mean-variance and quadratic approximations in implementing dynamic investment strategies: a comparison of returns and investment policies. Manag. Sci. 39, 856–871 (1993)CrossRef
3.
4.
go back to reference Wei, S.Z., Ye, Z.X.: Multi-period optimization portfolio with bankruptcy control in stochastic market. Appl. Math. Comput. 186, 414–425 (2007)MathSciNetMATH Wei, S.Z., Ye, Z.X.: Multi-period optimization portfolio with bankruptcy control in stochastic market. Appl. Math. Comput. 186, 414–425 (2007)MathSciNetMATH
5.
go back to reference Calafiore, G.C.: Multi-period portfolio optimization with linear control policies. Automatica 44, 2463–2473 (2008)CrossRefMATH Calafiore, G.C.: Multi-period portfolio optimization with linear control policies. Automatica 44, 2463–2473 (2008)CrossRefMATH
7.
go back to reference Rahimi, M., Kumar, P., Yari, G.: Portfolio selection using ant colony algorithm and entropy optimization. Pak. J. Stat. 33, 441–448 (2017)MathSciNet Rahimi, M., Kumar, P., Yari, G.: Portfolio selection using ant colony algorithm and entropy optimization. Pak. J. Stat. 33, 441–448 (2017)MathSciNet
8.
go back to reference Liu, B., Liu, Y.K.: Expected value of fuzzy variable and fuzzy expected value models. IEEE Trans. Fuzzy Syst. 10, 445–450 (2002)CrossRef Liu, B., Liu, Y.K.: Expected value of fuzzy variable and fuzzy expected value models. IEEE Trans. Fuzzy Syst. 10, 445–450 (2002)CrossRef
9.
go back to reference Li, X., Liu, B.: A sufficient and necessary condition for credibility measures. Int. J. Uncertain. Fuzz. Knowl Based Syst. 14, 527–535 (2006)MathSciNetCrossRefMATH Li, X., Liu, B.: A sufficient and necessary condition for credibility measures. Int. J. Uncertain. Fuzz. Knowl Based Syst. 14, 527–535 (2006)MathSciNetCrossRefMATH
10.
go back to reference Li, P., Liu, B.: Entropy of credibility distributions for fuzzy variables. IEEE Trans. Fuzzy Syst. 16, 123–129 (2000) Li, P., Liu, B.: Entropy of credibility distributions for fuzzy variables. IEEE Trans. Fuzzy Syst. 16, 123–129 (2000)
11.
go back to reference Yari, G., Rahimi, M., Moomivand, B., Kumar, P.: Credibility based fuzzy entropy measure. Aust. J. Math. Anal. Appl. 13, 1–7 (2016)MathSciNetMATH Yari, G., Rahimi, M., Moomivand, B., Kumar, P.: Credibility based fuzzy entropy measure. Aust. J. Math. Anal. Appl. 13, 1–7 (2016)MathSciNetMATH
12.
go back to reference Rahimi, M., Kumar, P., Yari, G.: Credibility measure for intuitionistic fuzzy variables. Mathematics 6(4), 50–56 (2018)CrossRefMATH Rahimi, M., Kumar, P., Yari, G.: Credibility measure for intuitionistic fuzzy variables. Mathematics 6(4), 50–56 (2018)CrossRefMATH
15.
go back to reference Yari, G., Sajedi, A., Rahimi, M.: Portfolio selection in the credibilistic framework using Renyi entropy and Renyi cross entropy. Int. J. Fuzzy Log. Intel. Sys. 18(1), 78–83 (2018)CrossRef Yari, G., Sajedi, A., Rahimi, M.: Portfolio selection in the credibilistic framework using Renyi entropy and Renyi cross entropy. Int. J. Fuzzy Log. Intel. Sys. 18(1), 78–83 (2018)CrossRef
16.
go back to reference Yari, G., Rahimi, M., Kumar, P.: Multi-period multi-criteria (MPMC) valuation of American options based on entropy optimization principles. Iran. J. Sci. Technol. Trans. A Sci. 41, 81–86 (2017)MathSciNetCrossRefMATH Yari, G., Rahimi, M., Kumar, P.: Multi-period multi-criteria (MPMC) valuation of American options based on entropy optimization principles. Iran. J. Sci. Technol. Trans. A Sci. 41, 81–86 (2017)MathSciNetCrossRefMATH
17.
go back to reference Song, H.S., Rhee, H.K., Kim, J.H., Lee, J.H.: Reading children’s emotions based on the fuzzy inference and theories of chromotherapy. Information 19, 735–742 (2016) Song, H.S., Rhee, H.K., Kim, J.H., Lee, J.H.: Reading children’s emotions based on the fuzzy inference and theories of chromotherapy. Information 19, 735–742 (2016)
20.
go back to reference Mandal, S., Maitya, K., Mondal, S., Maiti, M.: Optimal production inventory policy for defective items with fuzzy time period. Appl. Math. Model. 34(8), 10–822 (2010)MathSciNet Mandal, S., Maitya, K., Mondal, S., Maiti, M.: Optimal production inventory policy for defective items with fuzzy time period. Appl. Math. Model. 34(8), 10–822 (2010)MathSciNet
Metadata
Title
Portfolio optimization based on fuzzy entropy
Authors
Mohamadtaghi Rahimi
Pranesh Kumar
Publication date
07-12-2018
Publisher
Springer Paris
Published in
International Journal on Interactive Design and Manufacturing (IJIDeM) / Issue 2/2019
Print ISSN: 1955-2513
Electronic ISSN: 1955-2505
DOI
https://doi.org/10.1007/s12008-018-0514-4

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