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This paper considers a robust approach for an inventory model considering standard and high qualities of a product under price and quantity competitions. In the case the competitive store sells a standard product, another store must decide the purchase volumes, prices and ordering quantities of standard and high quality products in order to manage a loss risk as well as maximize the total profit....
This paper deals with a minimum spanning tree problem where each edge weight is a fuzzy random variable. In terms of risk management in order to avoid adverse impacts derived from uncertainty, conditional Value-at-Risk including a necessity measure for fuzziness is introduced as a risk measure. Furthermore, by performing the deterministic equivalent transformation, the proposed problem is transformed...
This paper considers a shortest path problem with both random and interval variables for arcs and proposes a new risk measure to synthesize both stochastic conditional Value at Risk and order relation of interval values. The proposed model defined by the hybrid conditional Value at Risk is equivalently transformed into a 0-1 mixed integer programming problem. In order to this problem analytically...
This paper considers a new equilibrium pricing vector with various types of investor's subjectivity based on the standard Mean-Variance theory. In order to present each investor's subjectivity, the fuzzy theory is introduced. In a way similar to the traditional MV-based equilibrium approach, the analytical equilibrium pricing vector is obtained using the degree of credibility considering credibility...
This paper considers the optimal production decision considering Corporate Social Responsibility (CSR) in the supply chain. CSR is currently the most important measure to sustain continuous developments of companies by performing environment-friendliness and suitable social activity, and it is also essential for avoiding the latent risk. In this paper, we consider the evaluation of environmental conservation...
Many researchers have proposed portfolio models based on the stochastic and fuzzy approaches until now, and there are some models considering both random and ambiguous conditions, particularly using fuzzy random or random fuzzy variables. However, few studies with multiobjective random fuzzy models for the portfolio selection problems have been performed. Therefore, a multiobjective random fuzzy portfolio...
This paper discusses a portfolio selection problem with type-2 fuzzy future returns involving interval numbers considering the investor's subjectivity. Since this proposed problem is not well-defined due to primary and secondary fuzziness, introducing the possibility measure that the total return is more than the target value, the main problem is transformed into the type-1 fuzzy programming problem...
This paper considers linear programming problems where each coefficient of the objective function is expressed by a random fuzzy variable. New decision making models are proposed based on stochastic and possibilistic programming in order to maximize both of possibility and probability with respect to the objective function value. It is shown that each of the proposed models is transformed into a deterministic...
This paper considers a new model of 0-1 knapsack problem including probabilistic coefficients with ambiguous expected returns assumed as random fuzzy variables. Since the random fuzzy 0-1 knapsack problem is not well-defined integer programming problem due to involve random fuzzy variables, it is hard to construct the efficient solution method to solve this problem directly. In this paper, using chance...
This paper considers a product mix problem both maximizing the total future profit and reducing excessive inventories including uncertainty with respect to future profits and customers' demands. Furthermore, since a decision maker has a goal with respect to the total future profit and each inventory of the product, in this paper, aspiration levels for them are also introduced. The proposal product...
In this paper, we propose multi-objective mathematical decision models with respect to portfolio selection problems, particularly using the scenario model to include the ambiguous factors. In real investment case, since many random and ambiguous situations exist, portfolio selection problems under such situations are considered. Mathematical programming problems including them are generally called...
In this paper, two portfolio selection problems including probabilistic future returns with ambiguous expected returns are proposed. Until now, many researchers have proposed models of portfolio selection problems, and there are some models considering both random conditions and ambiguous conditions, particularly using fuzzy random variables. However, the model including the random fuzzy variables...
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