In this paper we present a two-component portfolio selection problem under two types of uncertainties, i.e., probabilistic risk and possibilistic risk. We study the portfolio selection problem in mergers and acquisitions, M&As, and show the usability of the presented mixed model in portfolio selection of corporate acquisition targets. We view the total M&A value consisting of a stand-alone of a...

In this paper we present a two-component portfolio selection problem under two types of uncertainties, i.e., probabilistic risk and possibilistic risk. We study the portfolio selection problem in mergers and acquisitions, M&As, and show the usability of the presented mixed model in portfolio selection of corporate acquisition targets. We view the total M&A value consisting of a stand-alone of a...

The problem of portfolio selection in investment concerns with minimizing the risk for a prespecified level of return. In this paper, the constraint on the level of return is fuzzified and the technique of fuzzy evolutionary programming is employed to select an optimal portfolio of securities with low risk and with highly acceptable level of total return. Experimental results show the method is...

Abstract: This paper deals with a portfolio selection problem with fuzzy return rates. A possibilistic mean VaR model was proposed for portfolio selection. Specially, we present a mathematical programming model with possibilistic constraint. The possibilistic programming problem can be solved by transforming it into a linear programming problem. A numerical example is given to illustrate the be...

The purpose of this paper is to develop a new two-stage method for fuzzy multi-objective linear program and apply to engineering project portfolio selection. In the fuzzy multi-objective linear program, all the objective coefficients, technological coefficients and resources are trapezoidal fuzzy numbers (TrFNs). An order relationship for TrFNs is introduced by using the interval expectation of...

This paper considers a multi-period portfolio selection problem imposed by return demand and risk control in a fuzzy investment environment, in which the returns of assets are characterized by fuzzy numbers. A fuzzy lower semi-deviation is originally defined as the risk control of portfolio. A proportion entropy constraint is added as the divergence measure of portfolio. Based on the theories o...

Portfolio selection problem deals with how to form a satisfying portfolio, taking into account the uncertainty involved in the behavior of the financial markets. Markowitz (1952) established the relationship between the mean and variance of the investment in the framework of risk-return trade-off. Since then a variety of enlarged and improved models have been developed in several directions. So...

a r t i c l e i n f o A single-period portfolio selection theory provides optimal tradeoff between the mean and the variance of the portfolio return for a future period. However, in a real investment process, the investment horizon is usually multi-period and the investor needs to rebalance his position from time to time. Hence it is natural to extend the single-period fuzzy portfolio selection...

In order to analyze uncertain phenomena in real world, the concept of fuzzy random variables is widely employed in model building. In dealing with fuzzy data, defuzzification plays a central role. In this paper, portfolio selection problems are dealt as interval values. We calculate the expected values, variance and covariance by using the estimated parameters of underlying probability distribu...

Portfolio selection for strategic management is a crucial activity in many organizations, and it is concerned with a complex process that involves many decision-making situations. In order to decide which of the proposed projects should be retained in the final project portfolio, numerous conflicting criteria must be considered. They include economic, personnel development, and corporate image....