For the learning of Classification Tree, many researchers have used different splitting criteria, in which most commonly impurity-based criteria are: Gini index, Entropy function and Exponent-based index. By comparing Misclassification rates, none of the splitting criterion can be declared as providing best results in every situation. In this study, a new Mean Deviation based index has been pro...

Semi-absolute deviation is a commonly used downside risk measure in the portfolio optimization problem. However, there is no literature on taking semi-absolute deviation as a risk measure in the framework of uncertainty theory. This paper fills the gap by means of defining semi-absolute deviation for uncertain variables and establishes the corresponding mean semi-absolute deviation models in un...

We obtain an optimal deviation from the mean upper bound D(x) def = sup f∈F μ{f −Eμf ≥ x}, for x ∈ R (0.1) where F is the complete class of integrable, Lipschitz functions on probability metric (product) spaces. As corollaries we get exact solutions of (0.1) for Euclidean unit sphere Sn−1 with a geodesic distance function and a normalized Haar measure, for R equipped with a Gaussian measure and...

In this paper, we consider the problem of incorporating a wide set of real-world trading constraints to the meanvariance portfolio framework. Instead of using the mean-variance model directly, we use the equivalent Mean-Absolute Deviation (MAD) linear programming formulation. The addition of the trading constraints transforms the MAD model to a mixed-integer linear programming problem. We solve...

As regards decreasing cotton cultivation in Iran during these years, the degree of risk taken by a cotton cultivator in the agricultural part is important. The studies showed that the cotton crop yield during the past years did not have enough growth and the cotton cost product in the period of study cotton production costs, has increased. In this paper, the risk orientation of cotton cultivato...

markowitz, in his portfolio selection theory, stated that investors select their portfolios according to two criteria of risk and return. accordingly, he presented his mathematical model. one of the criticisms of this model is that while investors, practically, consider different criteria in forming their portfolios, it only considers the return mean and return standard deviation. liquidity is ...

Exponential smoothing technique is one of the most important quantitative techniques in forecasting. The accuracy of forecasting of this technique depends on exponential smoothing constant. Choosing an appropriate value of exponential smoothing constant is very crucial to minimize the error in forecasting. This paper addresses the selection of optimal value of exponential smoothing constant to ...

We address a single-machine scheduling problem where the objective is to minimize the weighted mean absolute deviation of job completion times from their weighted mean. This problem and its precursors aim to achieve the maximum admissible level of service equity. It has been shown earlier that the unweighted version of this problem is NP-hard in the ordinary sense. For that version, a pseudo-po...

Once we have a collection of values corresponding a class of objects, a usual way to decide whether a new object with the value of the corresponding property belongs to this class is to check whether this value belongs to interval from mean E minus k sigma σ to mean plus k sigma, where the parameter k is determined by the degree of confidence with which we want to make the decision. For each va...