In the real world, some problems can be modelled by linear fractional programming with uncertain data as an interval. Therefore, some methods have been proposed for solving interval linear fractional programming (ILFP) problems. In this research, we propose two new methods for solving ILFP problems. In each method, we use two sub-models to obtain the range of the objective function. In the first method, we introduce two sub-models in which the objective functions are non-linear and the two sub-models have the largest and smallest feasible regions; therefore, the optimal value range of the objective function has been obtained. In the second method, two sub-models have been proposed in which the objective functions are linear and the optimal value of the objective function lies in the range obtained from the first method. We use our approaches to maximize the ratio of the facilities optimal allocation to the non-return fund in a bank.

中文翻译：

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区间线性分数规划：目标函数的最优值范围

在现实世界中，某些问题可以通过将不确定数据作为间隔的线性分数编程来建模。因此，已经提出了一些解决区间线性分数规划（ILFP）问题的方法。在这项研究中，我们提出了两种解决ILFP问题的新方法。在每种方法中，我们使用两个子模型来获得目标函数的范围。在第一种方法中，我们引入两个子模型，其中目标函数是非线性的，并且两个子模型具有最大和最小的可行区域。因此，已经获得了目标函数的最佳值范围。在第二种方法中，提出了两个子模型，其中目标函数是线性的，并且目标函数的最佳值在从第一种方法获得的范围内。