This paper presents a new approach for solving decentralized bi-level multi-objective linear fractional programming problems. The main goal was to find a simple algorithm with high confidence of decision-makers in the results. First, all the linear fractional programming models on the given set of constraints were solved separately. Next, all the linear fractional objective functions were linearized, membership functions of objective functions and decision variables controlled by decision-makers at the highest level calculated, and a fuzzy multi-objective linear programming model formed and solved as linear goal programming problem by using simplex algorithm. The efficiency of the proposed algorithm was investigated using an economic example, and the obtained results compared with those obtained using an existing method.

中文翻译：

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一种解决分散双级多目标线性分数规划问题的模糊目标规划方法

本文提出了一种解决分散的双层多目标线性分数规划问题的新方法。主要目标是找到决策者对结果具有高度信心的简单算法。首先，分别求解给定约束条件下的所有线性分数规划模型。接下来，对所有线性分数目标函数进行线性化，计算目标函数的隶属函数和决策者在最高级别控制的决策变量，并形成模糊多目标线性规划模型，并通过单纯形法求解为线性目标规划问题算法。通过一个经济实例对所提算法的效率进行了研究，并将所得结果与现有方法进行了比较。