Extension of Portfolio Selection Problem with Fuzzy Goal Programming: A Fuzzy Allocated Portfolio Approach

Subject Areas : Design of Experiment

Alireza Alinezhad ¹ , Majid Zohrehbandian ² , Meghdad Kian ³ , Mostafa Ekhtiari ⁴ , Nima Esfandiari ⁵

1 - Assistant Professor, Department of industrial &mechanical engineering, Qazvin Branch, Islamic Azad University, Qazvin, Iran
2 - Assistant Professor, Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran
3 - MSc, Department of industrial &mechanical engineering, Qazvin Branch, Islamic Azad University, Qazvin, Iran
4 - MSc, Department of industrial &mechanical engineering, Qazvin Branch, Islamic Azad University, Qazvin, Iran
5 - MSc, Department of industrial &mechanical engineering, Qazvin Branch, Islamic Azad University, Qazvin, Iran

Received: 2011-05-22 Accepted : 2011-09-05 Published : 2011-09-29

Keywords: Fuzzy Goal Programming, Portfolio selection, Fuzzy Allocated Portfolio (FAP), MINMAX Approach,

Abstract :

Recently, the economic crisis has resulted in instability in stock exchange market and this has caused high volatilities in stock value of exchanged firms. Under these conditions, considering uncertainty for a favorite investment is more serious than before. Multi-objective Portfolio selection (Return, Liquidity, Risk and Initial cost of Investment objectives) using MINMAX fuzzy goal programming for a Fuzzy Allocated Portfolio is considered in this research and all the main sectors of investment are assumed under uncertainty. A numerical example on stock exchange is presented to demonstrate the validity and strengths of the proposed approach.