In this paper, we propose a linear programming based interactive method for multiobjective linearprogramming problems, in which fuzzy coefficients and random variable coefficients are involved in the objective functi...
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ISBN:
(纸本)9781479959556
In this paper, we propose a linear programming based interactive method for multiobjective linearprogramming problems, in which fuzzy coefficients and random variable coefficients are involved in the objective functions simultaneously. In the proposed method, it is assumed that the decision maker has a fuzzy goal for each objective function, and such a fuzzy goal can be quantified by eliciting the membership function. Through the possibility measure and a fractile optimization model, the original problem is transformed to the well-defined multiobjective programming problem. Then, a generalized Pareto optimal concept is defined, and a linearprogrammingbasedinteractive algorithm is proposed to obtain a satisfactory solution from among a generalized Pareto optimal solution set.
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