Skip to main content

Mean-Risk Model for Hybrid Portfolio Selection with Fuzziness and Randomness

  • Conference paper
  • 1855 Accesses

Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 6935))

Abstract

This paper discusses the hybrid portfolio selection problem in the situation where only some security returns can be well reflected by their past data and are suitable to be described by random variables, but the other security returns can hardly be predicted through the historical data and are suitable to be described by fuzzy variables. By using chance theory, this paper extends the risk curve to hybrid portfolio selection and develops a hybrid mean-risk model. In addition, the way for computing the expected value and the risk curve of the hybrid portfolio return is provided and a genetic algorithm is presented for finding the optimal solution. As an illustration, an example is also provided.

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Bilbao-Terol, A., Pérez-Gladish, B., Arenas-Parra, M., Rodríguez-Uría, M.V.: Fuzzy compromise programming for portfolio selection. Applied Mathematics and Computation 173, 251–264 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  2. Carlsson, C., Fullér, R., Majlender, P.: A possibilistic approach to selecting portfolios with highest utility score. Fuzzy Sets and Systems 131, 13–21 (2002)

    Article  MathSciNet  MATH  Google Scholar 

  3. Huang, X.: Fuzzy chance-constrained portfolio selection. Applied Mathematics and Computation 177, 500–507 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  4. Huang, X.: Portfolio selection with fuzzy returns. Journal of Intelligent & Fuzzy Systems 18, 383–390 (2007)

    MATH  Google Scholar 

  5. Huang, X.: Mean-Semivariance Models for Fuzzy Portfolio Selection. Journal of Computational and Applied Mathematics 217, 1–8 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  6. Huang, X.: Risk curve and fuzzy portfolio selection. Computers and Mathematics with Applications 55, 1102–1112 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  7. Huang, X.: Portfolio selection with a new definition of risk. European Journal of Operational Research 186, 351–357 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  8. Li, X., Liu, B.: Chance measure for hybrid events with fuzziness and randomness. Soft Computing 13, 105–115 (2009)

    Article  MATH  Google Scholar 

  9. Liu, B.: A survey of credibility theory. Fuzzy Optimization and Decision Making 5, 387–408 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  10. Liu, B.: Uncertainty Theory, 2nd edn. Springer, Berlin (2007)

    MATH  Google Scholar 

  11. Liu, B., Liu, Y.-K.: Expected value of fuzzy variable and fuzzy expected value models. IEEE Transactions on Fuzzy Systems 10, 445–450 (2002)

    Article  Google Scholar 

  12. Markowitz, H.: Portfolio selection. Journal of Finance 7, 77–91 (1952)

    Google Scholar 

  13. Markowitz, H.: Portfolio Selection: Efficient Diversification of Investments. Wiley, New York (1959)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2011 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Huang, X. (2011). Mean-Risk Model for Hybrid Portfolio Selection with Fuzziness and Randomness. In: Lee, G., Howard, D., Ślęzak, D. (eds) Convergence and Hybrid Information Technology. ICHIT 2011. Lecture Notes in Computer Science, vol 6935. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-24082-9_27

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-24082-9_27

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-24081-2

  • Online ISBN: 978-3-642-24082-9

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics