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A novel portfolio selection model in a hybrid uncertain environment

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  • Li, Jun
  • Xu, Jiuping

Abstract

The future returns of each securities cannot be correctly reflected by the securities data in the past, therefore the statistical techniques and the experts' judgement and experience are combined together to estimate the security returns in the future. In this paper, the returns of each securities are assumed to be fuzzy random variables, then following the ideas of mean variance model a new portfolio selection model in a hybrid uncertain environment is proposed. Moreover, the [lambda]-mean variance efficient frontiers and [lambda]-mean variance efficient portfolios are defined, and the properties of [lambda]-mean variance efficient portfolios located on different [lambda]-mean variance efficient frontiers are discussed. Finally, a numerical example is presented to illustrate the proposed portfolio selection model. On the basis of the results, we can conclude that the proposed model can provide the more flexible results.

Suggested Citation

  • Li, Jun & Xu, Jiuping, 2009. "A novel portfolio selection model in a hybrid uncertain environment," Omega, Elsevier, vol. 37(2), pages 439-449, April.
    • Handle: RePEc:eee:jomega:v:37:y:2009:i:2:p:439-449
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    Cited by:

    1. Masafumi Nakano & Akihiko Takahashi & Soichiro Takahashi, 2017. "Robust technical trading with fuzzy knowledge-based systems (Forthcoming in "Frontiers in Artificial Intelligence and Applications".)," CARF F-Series CARF-F-413, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo.
    2. Masafumi Nakano & Akihiko Takahashi & Soichiro Takahashi, 2017. "Fuzzy Logic-based Portfolio Selection with Particle Filtering and Anomaly Detection (Subsequently published in "Knowledge-Based Systems")," CARF F-Series CARF-F-405, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo.
    3. Bell, John E. & Griffis, Stanley E. & Cunningham III, William A. & Eberlan, Jon A., 2011. "Location optimization of strategic alert sites for homeland defense," Omega, Elsevier, vol. 39(2), pages 151-158, April.
    4. Yuanyuan Zhang & Xiang Li & Sini Guo, 2018. "Portfolio selection problems with Markowitz’s mean–variance framework: a review of literature," Fuzzy Optimization and Decision Making, Springer, vol. 17(2), pages 125-158, June.
    5. Hasuike, Takashi & Ishii, Hiroaki, 2009. "On flexible product-mix decision problems under randomness and fuzziness," Omega, Elsevier, vol. 37(4), pages 770-787, August.
    6. Tsaur, Ruey-Chyn, 2013. "Fuzzy portfolio model with different investor risk attitudes," European Journal of Operational Research, Elsevier, vol. 227(2), pages 385-390.
    7. Masafumi Nakano & Akihiko Takahashi & Soichiro Takahashi, 2017. "Robust Technical Trading with Fuzzy Knowledge-based Systems," CIRJE F-Series CIRJE-F-1053, CIRJE, Faculty of Economics, University of Tokyo.
    8. Zhang, Xili & Zhang, Weiguo & Xiao, Weilin, 2013. "Multi-period portfolio optimization under possibility measures," Economic Modelling, Elsevier, vol. 35(C), pages 401-408.
    9. Sehgal, Ruchika & Sharma, Amita & Mansini, Renata, 2023. "Worst-case analysis of Omega-VaR ratio optimization model," Omega, Elsevier, vol. 114(C).
    10. Masafumi Nakano & Akihiko Takahashi & Soichiro Takahashi, 2017. "Fuzzy Logic-based Portfolio Selection with Particle Filtering and Anomaly Detection," CIRJE F-Series CIRJE-F-1037, CIRJE, Faculty of Economics, University of Tokyo.
    11. Jiuping Xu & Xiaoyang Zhou & Steven Li, 2011. "A Class of Chance Constrained Multi-objective Portfolio Selection Model Under Fuzzy Random Environment," Journal of Optimization Theory and Applications, Springer, vol. 150(3), pages 530-552, September.
    12. Masafumi Nakano & Akihiko Takahashi & Soichiro Takahashi, 2017. "Fuzzy Logic-based Portfolio Selection with Particle Filtering and Anomaly Detection," CIRJE F-Series CIRJE-F-1037, CIRJE, Faculty of Economics, University of Tokyo.
    13. Zeng, Ziqiang & Nasri, Ehsan & Chini, Abdol & Ries, Robert & Xu, Jiuping, 2015. "A multiple objective decision making model for energy generation portfolio under fuzzy uncertainty: Case study of large scale investor-owned utilities in Florida," Renewable Energy, Elsevier, vol. 75(C), pages 224-242.
    14. Kreye, M.E. & Goh, Y.M. & Newnes, L.B. & Goodwin, P., 2012. "Approaches to displaying information to assist decisions under uncertainty," Omega, Elsevier, vol. 40(6), pages 682-692.
    15. Xiaohong Chen & Mengjing Wu & Chunqiao Tan & Tao Zhang, 2021. "A random intuitionistic fuzzy factor analysis model for complex multi-attribute large group decision-making in dynamic environments," Fuzzy Optimization and Decision Making, Springer, vol. 20(1), pages 101-127, March.
    16. Li, Deng-Feng, 2011. "Linear programming approach to solve interval-valued matrix games," Omega, Elsevier, vol. 39(6), pages 655-666, December.
    17. Jianjian Wang & Feng He & Xin Shi, 2019. "Numerical solution of a general interval quadratic programming model for portfolio selection," PLOS ONE, Public Library of Science, vol. 14(3), pages 1-16, March.

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