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Optimization
A Journal of Mathematical Programming and Operations Research
Volume 67, 2018 - Issue 5
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Original Articles

Mean-risk-skewness models for portfolio optimization based on uncertain measure

, &
Pages 701-714 | Received 02 Sep 2016, Accepted 01 Jan 2018, Published online: 23 Jan 2018

References

  • Markowitz H. Portfolio selection. J Financ. 1952;77–91.
  • Markowitz H. Portfolio selection: efficient diversification of investments. New York, NY: Wiley; 1959. p. 188–204.
  • Konno H, Yamazaki H. Mean-absolute deviation portfolio optimization model and its application to Tokyo Stock Market. Manage Sci. 1991;37(5):519–531.10.1287/mnsc.37.5.519
  • Jorion P. Risk 2: measuring the risk in value at risk. Financ Anal J. 1996;52(6):47–56.10.2469/faj.v52.n6.2039
  • Krejić N, Kumaresan M, Rožnjik A. VaR optimal portfolio with transaction costs. Appl Math Comput. 2011;218(8):4626–4637.
  • Mansini R, Ogryczak W, Speranza MG. Conditional value at risk and related linear programming models for portfolio optimization. Ann Oper Res. 2007;152(1):227–256.10.1007/s10479-006-0142-4
  • Tong X, Qi L, Wu F, Zhou H. A smoothing method for solving portfolio optimization with CVaR and applications in allocation of generation asset. Appl Math Comput. 2010;216(6):1723–1740.
  • Najafi A, Mushakhian S. Multi-stage stochastic mean–semivariance–CVaR portfolio optimization under transaction costs. Appl Math Comput. 2015;256:445–458.
  • Huang X. Mean-risk model for uncertain portfolio selection. Fuzzy Optim Decis Ma. 2011;10(1):71–89.10.1007/s10700-010-9094-x
  • Arditti FD. Risk and the required return on equity. J Financ. 1967;22:19–36.10.1111/j.1540-6261.1967.tb01651.x
  • Konno H, Suzuki K. A mean-variance-skewness portfolio optimization model. J Oper Res Soc. 1995;38(2):137–187.
  • Samuelson PA. The fundamental approximation theorem of portfolio analysis in terms of means, variances and higher moments. Rev Econ Stud. 1970;37(4):537–542.10.2307/2296483
  • Konno H, Suzukia T, Kobayashi D. A branch and bound algorithm for solving mean-risk-skewness portfolio models. Optim Method Softw. 1998;10(2):297–317.
  • Wang S, Xia Y. Mean-variance-skewness model for portfolio selection with transaction costs. Lecture Notes in Economics and Mathematical Systems. 2002;514:129–144.10.1007/978-3-642-55934-1
  • Kim T. Does individual-stock skewness/coskewness reflect portfolio risk? Finance Res Lett. 2015;15:167–174.10.1016/j.frl.2015.09.007
  • Theodossiou P, Savva CS. Skewness and the relation between risk and return. Manage Scie. 2015;62(6):1598–1609.
  • Zhao S, Lu Q, Han L, Liu Y, Hu F. A mean-CVaR-skewness portfolio optimization model based on asymmetric Laplace distribution. Ann Oper Res. 2015;226(1):727–739.10.1007/s10479-014-1654-y
  • Jiang C, Ma Y, An Y. Portfolio selection with a systematic skewness constraint. North Am J Econ Finance. 2016;37:393–405.10.1016/j.najef.2016.03.008
  • Sawik B. A three stage lexicographic approach for multi-criteria portfolio optimization by mixed integer programming. Przeglad Elektrotechniczny. 2008;84(9):108–112.
  • Sawik B. Lexicographic and weighting approach to multi-criteria portfolio optimization by mixed integer programming. In: Lawrence Kenneth D, Kleinman Gary, editors. Financial modeling applications and data envelopment applications. England: Emerald Group; 2009. p. 3–18.
  • Sawik B. Conditional value-at-risk vs. value-at-risk to multi-objective portfolio optimization. Appl Manage Sci. 2012;15:277–305.
  • Sawik B. Survey of multi-objective portfolio optimization by linear and mixed integer programming. In: Lawrence Kenneth D, Kleinman Gary, editors. Applications of management science. England: Emerald Group; 2013. p. 55–79.
  • Sawik B. Downside risk approach for multi-objective portfolio optimization. In: Klatte D., Lüthi HJ, Schmedders K, editors. Operations research proceedings. Berlin: Springer; 2012. p. 191–196.
  • Sawik B. Triple-objective models for portfolio optimisation with symmetric and percentile risk measures. Int J Logistic Syst Manage. 2016;25(1):96–107.10.1504/IJLSM.2016.078485
  • Sawik B. Bi-criteria portfolio optimization models with percentile and symmetric risk measures by mathematical programming. Przeglad Elektrotechniczny. 2012;88:176–180.
  • Dreżewski R, Obrocki K, Siwik L. Agent-based co-operative co-evolutionary algorithms for multi-objective portfolio optimization. In: Brabazon A, O’Neill M, Maringer DG, editors. Natural computing in computational finance. Vol. 293, Studies in computational intelligence. Berlin: Springer; 2008. p. 63–84.
  • Soam V, Palafox L, Iba H. Multi-objective portfolio optimization and rebalancing using genetic algorithms with local search. Evolutionary Computation. 2012;3:1–7.
  • Arenas Parra M, Bilbao Terol A, RodríGuez Uría MV. A fuzzy goal programming approach to portfolio selection. Eur J Oper Res. 2001;133(2):287–297.10.1016/S0377-2217(00)00298-8
  • Bilbao-Terol A, Perez-Gladish B, Arenas-Parra M, Rodríguez-Uría MV. Fuzzy compromise programming for portfolio selection. Appl Math Comput. 2006;173(1):251–264.
  • Vercher E, Bermudez JD. A possibilistic mean-downside risk-skewness model for efficient portfolio selection. IEEE Trans Fuzzy Syst. 2013;21(3):585–595.10.1109/TFUZZ.2012.2227487
  • Liu B, Liu YK. Expected value of fuzzy variable and fuzzy expected value models. IEEE Trans Fuzzy Syst. 2002;10(4):445–450.
  • Huang X. Portfolio selection with fuzzy returns. J Intell Fuzzy Syst. 2007;18(4):383–390.
  • Huang X. Mean-semivariance models for fuzzy portfolio selection. J Comput Appl Math. 2008;217(1):1–8.
  • Qin Z, Li X, Ji X. Portfolio selection based on fuzzy cross-entropy. J Comput Appl Math. 2009;228(1):139–149.10.1016/j.cam.2008.09.010
  • Li X, Qin Z, Kar S. Mean-variance-skewness model for portfolio selection with fuzzy returns. Eur J Oper Res. 2010;202(1):239–247.10.1016/j.ejor.2009.05.003
  • Qin Z. Credibilistic mean-variance-skewness model. In: Uncertain portfolio optimization. Singapore: Springer; 2016. p. 29–52.
  • Li X, Guo S, Yu L. Skewness of fuzzy numbers and its applications in portfolio selection. IEEE Trans Fuzzy Syst. 2015;23(6):2135–2143.10.1109/TFUZZ.2015.2404340
  • Liu B. Why is there a need for uncertainty theory. J Uncertain Syst. 2012;6(1):3–10.
  • Liu B. Uncertainty theory. Berlin: Springer-Verlag; 2007.
  • Liu B. Portfolio analysis from probabilistic to credibilistic and uncertain approaches. Berlin: Springer-Verlag; 2010.
  • Huang X, Zhao T, Kudratova S. Uncertain mean-variance and mean-semivariance models for optimal project selection and scheduling. Knowl-Based Syst. 2016;93:1–11.10.1016/j.knosys.2015.10.030
  • Bhattacharyya R, Chatterjee A, Kar S. Mean-variance-skewness portfolio selection model in general uncertain environment. India J Ind App Math. 2012;3(1):45–61.
  • Zhang B, Peng J, Li S. Uncertain programming models for portfolio selection with uncertain returns. Int J Sci Syst. 2015;46(14):2510–2519.10.1080/00207721.2013.871366
  • Liu Y, Qin Z. Mean semi-absolute deviation model for uncertain portfolio optimization problem. J Uncertain Syst. 2012;6(4):299–307.
  • Li X, Qin Z. Interval portfolio selection models within the framework of uncertainty theory. Econ Model. 2014;41(1):338–344.10.1016/j.econmod.2014.05.036
  • Qin Z, Kar S, Zheng H. Uncertain portfolio adjusting model using semiabsolute deviation. Soft Comput. 2016;20(2):717–725.10.1007/s00500-014-1535-y
  • Chen L, Peng J, Zhang B, Rosyida I. Diversified models for portfolio selection based on uncertain semivariance. Int J Syst Sci. 2017;48(3):637–648.10.1080/00207721.2016.1206985
  • Deb K, Pratap A, Agarwal S, Meyarivan T. A fast and elitist multiobjective genetic algorithm: NSGA-II. IEEE Trans Evolut Comput. 2002;6(2):182–197.10.1109/4235.996017

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