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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
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)
Carlsson, C., Fullér, R., Majlender, P.: A possibilistic approach to selecting portfolios with highest utility score. Fuzzy Sets and Systems 131, 13–21 (2002)
Huang, X.: Fuzzy chance-constrained portfolio selection. Applied Mathematics and Computation 177, 500–507 (2006)
Huang, X.: Portfolio selection with fuzzy returns. Journal of Intelligent & Fuzzy Systems 18, 383–390 (2007)
Huang, X.: Mean-Semivariance Models for Fuzzy Portfolio Selection. Journal of Computational and Applied Mathematics 217, 1–8 (2008)
Huang, X.: Risk curve and fuzzy portfolio selection. Computers and Mathematics with Applications 55, 1102–1112 (2008)
Huang, X.: Portfolio selection with a new definition of risk. European Journal of Operational Research 186, 351–357 (2008)
Li, X., Liu, B.: Chance measure for hybrid events with fuzziness and randomness. Soft Computing 13, 105–115 (2009)
Liu, B.: A survey of credibility theory. Fuzzy Optimization and Decision Making 5, 387–408 (2006)
Liu, B.: Uncertainty Theory, 2nd edn. Springer, Berlin (2007)
Liu, B., Liu, Y.-K.: Expected value of fuzzy variable and fuzzy expected value models. IEEE Transactions on Fuzzy Systems 10, 445–450 (2002)
Markowitz, H.: Portfolio selection. Journal of Finance 7, 77–91 (1952)
Markowitz, H.: Portfolio Selection: Efficient Diversification of Investments. Wiley, New York (1959)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights 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)