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 programmin...

In this paper, two kinds of portfolio selection models are proposed based on fuzzy probabilities and possibility distributions, respectively, rather than conventional probability distributions in Markowitz’s model. Since fuzzy probabilities and possibility distributions are obtained depending on possibility grades of security data o ered by experts, investment experts’ knowledge can be re ected...

This paper proposes a new practical model for project portfolio selection focusing on two issues; the first issue relates to managing uncertainty provoked by hesitant situations and the second issue relates to the interaction effect of projects on final value of portfolio. Based on the above issues, the hesitant fuzzy weighted averaging (HFWA) operator is applied to aggregate the hesitant fuzzy...

This paper investigates a fuzzy portfolio selection problem with guaranteed reliability, in which the fuzzy variables are used to capture the uncertain returns of different securities. To effectively handle the fuzziness in a mathematical way, a new expected value operator and variance of fuzzy variables are defined based on the mλ measure that is a linear combination of the possibility measure...

s: In this paper, we define the portfolio return as fuzzy average yield and risk as hybrid-entropy and variance to deal with the portfolio selection problem with both random uncertainty and fuzzy uncertainty, and propose a mean-variance hybrid-entropy model (MVHEM). A multi-objective genetic algorithm named Non-dominated Sorting Genetic Algorithm II (NSGA-II) is introduced to solve the model. W...

Since the 1960s, lots of scholars had begun to research in the portfolio selections based on the theory of mean-variance of Markowitz portfolio and relevant methods. All of these studies are under certainly of the assumption term, and then the researchers can get efficient set of portfolio selection. However, alone with the finance environment increasing of complexity, it is becoming more compl...

This paper proposes an entropy method for diversified fuzzy portfolio selection. Proportion entropy is introduced and credibilistic mean-variance and mean-semivariance diversification models for fuzzy portfolio selection are proposed. The crisp forms of the proposed models are also provided when the security returns are all triangular fuzzy variables. As an illustration, an application example ...

This article presents a hierarchical process for multiobjective portfolio selection in fuzzy environment. Methodology proposed in this paper is consist of three main steps; (a) determining weight of each objective including return, risk and liquidity, by fuzzy logarithmic least square according to investors’ preferences matrix by the means of DE algorithm, (b&c) assigning pareto frontiers of pr...

Financial problems have been the subject of much research. A widely used approach in recent work on these problems is the use of fuzzy set theory, where fuzzy terms are used to model the uncertain environments. The purpose of this work is to combine the fuzzy analytic hierarchy process (AHP) with the portfolio selection problem. More specifically, the decision-making problem is to decide which ...