Abstract
The aim of this paper is to propose a fuzzy chance constrained goal programming model for solving a multi-attribute financial portfolio selection problem under two types of uncertainty namely randomness and fuzziness. The chance-constrained goals are considered as random variables. The obtained portfolio through this model is the portfolio of the best compromise where the financial decision-maker was asked to make tradeoffs among conflicting and incommensurable attributes such as the expected return, risk and the earning price ratio. The proposed model has been applied to the Tunisian stock exchange market for the period July 2003 to December 2007.
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Alinezhad, A., Zohrehbandianb, M., Kianc, M., Ekhtiaric, M., & Esfandiari, N. (2011). Extension of portfolio selection problem with fuzzy goal programming: A fuzzy allocated portfolio approach. Journal of Optimization in Industrial Engineering, 4, 69–76.
Aouni, B. (2009). Multi-attribute portfolio selection: New perspectives. Information Systems and Operational Research Journal, 47(1), 1–4.
Aouni, B. (2010). Portfolio selection through the goal programming model: An overview. Journal of Financial Decision Making, 6(2), 3–15.
Aouni, B., Ben Abdelaziz, F., & Martel, J. M. (2005). Decision maker’s preferences modelling in the stochastic goal programming. European Journal of Operational Research, 162, 610–618.
Aouni, B., Colapinto, C., & La Torre, D. (2014). Portfolio management through the goal programming model: Current state-of-the-art. European Journal of Operational Research, 234, 536–545.
Arenas Parra, M., Bilbao Terol, A., & Rodríguez Uria, M. V. (2001). A fuzzy goal programming approach to portfolio selection. European Journal of Operational Research, 133, 287–297.
Ben Abdelaziz, F., Aouni, B., & El Fayedh, R. (2007). Multi-objective stochastic programming for portfolio selection. European Journal of Operational Research, 177(3), 1811–1823.
Ben Abdelaziz, F., El Fayedh, R., & Rao, A. (2009). A discrete stochastic goal program for portfolio selection: The case of United Arab Emirates equity market. INFOR Information Systems and Operational Research, 47, 5–13.
Golany, B., & Kress, M. (1993). A multicriteria evaluation of methods for obtaining weights from ratio-scale matrices. European Journal of Operational Research, 69, 210–220.
Hulsurkar, S., Biswal, M. P., & Sinha, S. B. (1997). Fuzzy programming approach to multi-objective stochastic linear programming problems. Fuzzy Sets and Systems, 88, 173–181.
Jones, D.,Tamiz, M., & Ries, J. (2010). New developments in multi-objective and goal programming. In Lecture notes in economics and mathematical systems (1st Edition). Springer.
Lucas, A., & Klaassen, P. (1998). Extreme returns, downside risk, and optimal asset allocation. Journal of Portfolio Management, 25, 71–79.
Mansour, N., Rebai, A., & et Aouni, B. (2007). Portfolio selection through imprecise goal programming model: Integration of the manager’s preferences. Journal of Industrial Engineering International, 3, 1–8.
Markowitz, H. (1952). Portfolio selection. The Journal of Finance, 7, 77–91.
Pal, B. B., Moitra, B. N., & Maulik, U. A. (2003). Goal programming procedure for fuzzy multiobjective linear fractional programming problem. Fuzzy Sets and System, 139, 395–405.
Szego, G. (2002). Measures of risk. Journal of Banking and Finance, 26, 1253–1272.
Tamiz, M., Hasham, R., Jones, D. F., Hesni, B., & Fargher, E. K. (1996). A two staged goal programming model for portfolio selection. In M. Tamiz (Ed.), Lecture notes in economics and mathematical systems (Vol. 432). Berlin: Springer.
Tamiz, M., Jones, D. F., & et El-Darzi, E. (1995). A review of goal programming and its applications. Annals of Operations Research, 58, 39–53.
Tanino, T. (1984). Fuzzy preference orderings in group decision making. Fuzzy Sets Systems, 12, 117–131.
Xu, Z. S. (2004). Goal programming models for obtaining the priority vector of incomplete fuzzy preference relation. International Journal of Approximate Reasoning, 36, 261–270.
Xu, Y., Da, Q., & et Liu, L. (2009). Normalizing rank aggregation method for priority of a fuzzy preference relation and its effectiveness. International Journal of Approximate Reasoning, 50, 1287–1297.
Zimmermann, H. J. (1978). Fuzzy programming and linear programming with several objective functions. Fuzzy Sets and Systems, 1, 45–55.
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Messaoudi, L., Aouni, B. & Rebai, A. Fuzzy chance-constrained goal programming model for multi-attribute financial portfolio selection. Ann Oper Res 251, 193–204 (2017). https://doi.org/10.1007/s10479-015-1937-y
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DOI: https://doi.org/10.1007/s10479-015-1937-y