Mean - Entropy Models for Uncertainty Portfolio Selection
نویسندگان
چکیده
Uncertainty theory is a branch of axiomatic mathematics based on normality, monotonicity, self-duality, countable subadditivity, and product measure axioms. In this paper, portfolio selection problems in uncertainty environment is solved using uncertainty programming methods. The concept of quadratic entropy is introduced in the model to measure risk of securities. Furthermore, a hybrid intelligent algorithm based on the 99-method and Genetic Algorithm is presented to solve the meanquadratic entropy model.
منابع مشابه
A Mean-Variance Hybrid-Entropy Model for Portfolio Selection with Fuzzy Returns
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...
متن کاملMEAN-ABSOLUTE DEVIATION PORTFOLIO SELECTION MODEL WITH FUZZY RETURNS
In this paper, we consider portfolio selection problem in which security returns are regarded as fuzzy variables rather than random variables. We first introduce a concept of absolute deviation for fuzzy variables and prove some useful properties, which imply that absolute deviation may be used to measure risk well. Then we propose two mean-absolute deviation models by defining risk as abs...
متن کاملMULTIPERIOD CREDIBILITIC MEAN SEMI-ABSOLUTE DEVIATION PORTFOLIO SELECTION
In this paper, we discuss a multiperiod portfolio selection problem with fuzzy returns. We present a new credibilitic multiperiod mean semi- absolute deviation portfolio selection with some real factors including transaction costs, borrowing constraints, entropy constraints, threshold constraints and risk control. In the proposed model, we quantify the investment return and risk associated with...
متن کاملA two-stage robust model for portfolio selection by using goal programming
In portfolio selection models, uncertainty plays an important role. The parameter’s uncertainty leads to getting away from optimal solution so it is needed to consider that in models. In this paper we presented a two-stage robust model that in first stage determines the desired percentage of investment in each industrial group by using return and risk measures from different industries. One rea...
متن کاملMean-Variance-Skewness-Entropy Measures: A Multi-Objective Approach for Portfolio Selection
In this study, we present a multi-objective approach based on a mean-varianceskewness-entropy portfolio selection model (MVSEM). In this approach, an entropy measure is added to the mean-variance-skewness model (MVSM) to generate a well-diversified portfolio. Through a variety of empirical data sets, we evaluate the performance of the MVSEM in terms of several portfolio performance measures. Th...
متن کامل