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Published in: Fuzzy Optimization and Decision Making 3/2018

21-09-2017

Fuzzy portfolio selection model with real features and different decision behaviors

Authors: Yong-Jun Liu, Wei-Guo Zhang

Published in: Fuzzy Optimization and Decision Making | Issue 3/2018

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Abstract

In the ever changing financial markets, investor’s decision behaviors may change from time to time. In this paper, we consider the effect of investor’s different decision behaviors on portfolio selection in fuzzy environment. We present a possibilistic mean-semivariance model for fuzzy portfolio selection by considering some real investment features including proportional transaction cost, fixed transaction cost, cardinality constraint, investment threshold constraints, decision dependency constraints and minimum transaction lots. To describe investor’s different decision behaviors, we characterize the return rates on securities by LR fuzzy numbers with different shape parameters in the left- and right-hand reference functions. Then, we design a novel hybrid differential evolution algorithm to solve the proposed model. Finally, we provide a numerical example to illustrate the application of our model and the effectiveness of the designed algorithm.

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Literature
go back to reference Angelelli, E., Mansini, R., & Speranza, M. G. (2008). A comparison of MAD and CVaR with real features. Journal of Banking and Finance, 32(7), 1188–1197.CrossRef Angelelli, E., Mansini, R., & Speranza, M. G. (2008). A comparison of MAD and CVaR with real features. Journal of Banking and Finance, 32(7), 1188–1197.CrossRef
go back to reference Brest, J., Greiner, S., Bošković, B., Mernik, M., & Zumer, V. (2006). Self-adapting control parameters in differential evolution: A comparative study on numerical benchmark problems. IEEE Transactions on Evolutionary Computation, 10(6), 646–657.CrossRef Brest, J., Greiner, S., Bošković, B., Mernik, M., & Zumer, V. (2006). Self-adapting control parameters in differential evolution: A comparative study on numerical benchmark problems. IEEE Transactions on Evolutionary Computation, 10(6), 646–657.CrossRef
go back to reference Cadenas, J. M., Carrillo, J. V., Garrido, M. C., Ivorra, C., & Liern, V. (2012). Exact and heuristic procedures for solving the fuzzy portfolio selection problem. Fuzzy Optimization and Decision Making, 11(1), 29–46.MathSciNetCrossRefMATH Cadenas, J. M., Carrillo, J. V., Garrido, M. C., Ivorra, C., & Liern, V. (2012). Exact and heuristic procedures for solving the fuzzy portfolio selection problem. Fuzzy Optimization and Decision Making, 11(1), 29–46.MathSciNetCrossRefMATH
go back to reference Carlsson, C., & Fullér, R. (2001). On possibilistic mean value and variance of fuzzy numbers. Fuzzy Sets and Systems, 122(2), 315–326.MathSciNetCrossRefMATH Carlsson, C., & Fullér, R. (2001). On possibilistic mean value and variance of fuzzy numbers. Fuzzy Sets and Systems, 122(2), 315–326.MathSciNetCrossRefMATH
go back to reference Das, S., & Suganthan, P. N. (2011). Differential evolution: A survey of the state of the-art. IEEE Transactions on Evolutionary Computation, 15(1), 4–31.CrossRef Das, S., & Suganthan, P. N. (2011). Differential evolution: A survey of the state of the-art. IEEE Transactions on Evolutionary Computation, 15(1), 4–31.CrossRef
go back to reference Dubios, D., & Prade, H. (1980). Fuzzy sets and system: Theory and application. New York: Academic Press. Dubios, D., & Prade, H. (1980). Fuzzy sets and system: Theory and application. New York: Academic Press.
go back to reference Gupta, P., Inuiguchi, M., Mehlawat, M. K., & Mittal, G. (2013). Multiobjective credibilistic portfolio selection model with fuzzy chance-constraints. Information Sciences, 229, 1–17.MathSciNetCrossRefMATH Gupta, P., Inuiguchi, M., Mehlawat, M. K., & Mittal, G. (2013). Multiobjective credibilistic portfolio selection model with fuzzy chance-constraints. Information Sciences, 229, 1–17.MathSciNetCrossRefMATH
go back to reference Jiang, Z. Z., Fan, Z. P., Ip, W. H., & Chen, X. H. (2016). Fuzzy multi-objective modeling and optimization for one-shot multi-attribute exchanges with indivisible demand. IEEE Transactions on Fuzzy Systems, 24(3), 708–723.CrossRef Jiang, Z. Z., Fan, Z. P., Ip, W. H., & Chen, X. H. (2016). Fuzzy multi-objective modeling and optimization for one-shot multi-attribute exchanges with indivisible demand. IEEE Transactions on Fuzzy Systems, 24(3), 708–723.CrossRef
go back to reference Kocadaǧlı, O., & Keskin, R. (2015). A novel portfolio selection model based on fuzzy goal programming with different importance and priorities. Expert Systems with Applications, 42(20), 6898–6912.CrossRef Kocadaǧlı, O., & Keskin, R. (2015). A novel portfolio selection model based on fuzzy goal programming with different importance and priorities. Expert Systems with Applications, 42(20), 6898–6912.CrossRef
go back to reference Konno, H., & Wijayanayake, A. (2001). Portfolio optimization problem under concave transaction costs and minimal transaction unit constraints. Mathematical Programming, 89(2), 233–250.MathSciNetCrossRefMATH Konno, H., & Wijayanayake, A. (2001). Portfolio optimization problem under concave transaction costs and minimal transaction unit constraints. Mathematical Programming, 89(2), 233–250.MathSciNetCrossRefMATH
go back to reference Li, D., & Peter, S. (2011). A portfolio selection model using fuzzy returns. Fuzzy Optimization and Decision Making, 10(2), 167–191.MathSciNetCrossRefMATH Li, D., & Peter, S. (2011). A portfolio selection model using fuzzy returns. Fuzzy Optimization and Decision Making, 10(2), 167–191.MathSciNetCrossRefMATH
go back to reference Lin, Y. C., Hwang, K. S., & Wang, F. S. (2004). A mixed-coding scheme of evolutionary algorithms to solve mixed-integer nonlinear programming problems. Computers & Mathematics with Applications, 47(8/9), 1295–1307.MathSciNetCrossRefMATH Lin, Y. C., Hwang, K. S., & Wang, F. S. (2004). A mixed-coding scheme of evolutionary algorithms to solve mixed-integer nonlinear programming problems. Computers & Mathematics with Applications, 47(8/9), 1295–1307.MathSciNetCrossRefMATH
go back to reference Mansini, R., & Speranza, M. G. (1999). Heuristic algorithms for the portfolio selection problem with minimum transaction lots. European Journal of Operational Research, 114(2), 219–233.CrossRefMATH Mansini, R., & Speranza, M. G. (1999). Heuristic algorithms for the portfolio selection problem with minimum transaction lots. European Journal of Operational Research, 114(2), 219–233.CrossRefMATH
go back to reference Markowitz, H. M. (1952). Portfolio selection. Journal of Finance, 7(1), 77–91. Markowitz, H. M. (1952). Portfolio selection. Journal of Finance, 7(1), 77–91.
go back to reference Mohamed, A. W., & Sabry, H. Z. (2012). Constrained optimization based on modified differential evolution algorithm. Information Sciences, 194, 171–208.CrossRef Mohamed, A. W., & Sabry, H. Z. (2012). Constrained optimization based on modified differential evolution algorithm. Information Sciences, 194, 171–208.CrossRef
go back to reference Speranza, M. G. (1993). Linear programming model for portfolio optimization. Finance, 14, 107–123. Speranza, M. G. (1993). Linear programming model for portfolio optimization. Finance, 14, 107–123.
go back to reference Storn, R., & Price, K. (1995). Differential evolution-a simple and efficient adaptive scheme for global optimization over continuous spaces. Technical Report TR-95-012, International Computer Science Institute, Berkeley, CA. Storn, R., & Price, K. (1995). Differential evolution-a simple and efficient adaptive scheme for global optimization over continuous spaces. Technical Report TR-95-012, International Computer Science Institute, Berkeley, CA.
go back to reference Storn, R., & Price, K. (1997). Differential evolution—A simple and efficient heuristic for global optimization over continuous spaces. Journal of Global Optimization, 11(4), 341–359.MathSciNetCrossRefMATH Storn, R., & Price, K. (1997). Differential evolution—A simple and efficient heuristic for global optimization over continuous spaces. Journal of Global Optimization, 11(4), 341–359.MathSciNetCrossRefMATH
go back to reference Tsaur, R. C. (2013). Fuzzy portfolio model with different investor risk attitudes. European Journal of Operational Research, 227(2), 385–390.MathSciNetCrossRefMATH Tsaur, R. C. (2013). Fuzzy portfolio model with different investor risk attitudes. European Journal of Operational Research, 227(2), 385–390.MathSciNetCrossRefMATH
go back to reference Vernic, R. (2016). Optimal investment with a constraint on ruin for a fuzzy discrete-time insurance risk model. Fuzzy Optimization and Decision Making, 15(2), 195–217.MathSciNetCrossRef Vernic, R. (2016). Optimal investment with a constraint on ruin for a fuzzy discrete-time insurance risk model. Fuzzy Optimization and Decision Making, 15(2), 195–217.MathSciNetCrossRef
go back to reference Xidonas, P., Mavrotas, G., Zopounidis, C., & Psarras, J. (2011). IPSSIS: An integrated multicriteria decision support system for equity portfolio construction and selection. European Journal of Operational Research, 210(2), 398–409.MathSciNetCrossRefMATH Xidonas, P., Mavrotas, G., Zopounidis, C., & Psarras, J. (2011). IPSSIS: An integrated multicriteria decision support system for equity portfolio construction and selection. European Journal of Operational Research, 210(2), 398–409.MathSciNetCrossRefMATH
go back to reference Yang, S. C., Lin, T. L., Chang, T. J., & Chang, K. J. (2011). A semi-variance portfolio selection model for military investment assets. Expert Systems with Applications, 38(3), 2292–2301.CrossRef Yang, S. C., Lin, T. L., Chang, T. J., & Chang, K. J. (2011). A semi-variance portfolio selection model for military investment assets. Expert Systems with Applications, 38(3), 2292–2301.CrossRef
go back to reference Zhang, W. G., Liu, Y. J., & Xu, W. J. (2012). A possibilistic mean-semivariance-entropy model for multi-period portfolio selection with transaction costs. European Journal of Operational Research, 222(2), 341–349.MathSciNetCrossRefMATH Zhang, W. G., Liu, Y. J., & Xu, W. J. (2012). A possibilistic mean-semivariance-entropy model for multi-period portfolio selection with transaction costs. European Journal of Operational Research, 222(2), 341–349.MathSciNetCrossRefMATH
go back to reference Zhang, W. G., Zhang, X. L., & Xu, W. J. (2010). A risk tolerance model for portfolio adjusting problem with transaction costs based on possibilistic moments. Insurance: Mathematics and Economics, 46(3), 493–499.MathSciNetMATH Zhang, W. G., Zhang, X. L., & Xu, W. J. (2010). A risk tolerance model for portfolio adjusting problem with transaction costs based on possibilistic moments. Insurance: Mathematics and Economics, 46(3), 493–499.MathSciNetMATH
Metadata
Title
Fuzzy portfolio selection model with real features and different decision behaviors
Authors
Yong-Jun Liu
Wei-Guo Zhang
Publication date
21-09-2017
Publisher
Springer US
Published in
Fuzzy Optimization and Decision Making / Issue 3/2018
Print ISSN: 1568-4539
Electronic ISSN: 1573-2908
DOI
https://doi.org/10.1007/s10700-017-9274-z

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