Data envelopment analysis (DEA) is a linear programming method to measure the relative efficiency of a set of decision-making units (DMUs) with multiple inputs and outputs. Some DEA models are used to allocate resources and to set targets. Previous studies in resource allocation and target setting have used deterministic data; however, in real problems resources and targets are not deterministic. In this paper, a type-II fuzzy DEA approach is developed for resource allocation and target setting. A numerical example and a real case study including 11 gas refineries with two inputs and three outputs are provided to illustrate the performance of the proposed approach. The results demonstrate that the proposed method efficiently allocates resources and sets targets in presence of uncertainty. Sensitivity analysis is accomplished based on the variation of the value of targets and resources and the variation of the footprint of uncertainty (FOU) of resources and targets.

中文翻译：

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数据包络分析中的模糊 II 型资源分配和目标设定：天然气炼厂的真实案例

数据包络分析 (DEA) 是一种线性规划方法，用于测量具有多个输入和输出的一组决策单元 (DMU) 的相对效率。一些 DEA 模型用于分配资源和设定目标。以前在资源分配和目标设定方面的研究使用了确定性数据；然而，在实际问题中，资源和目标不是确定性的。在本文中，为资源分配和目标设定开发了一种 II 型模糊 DEA 方法。提供了一个数值示例和一个真实案例研究，包括 11 个具有两个输入和三个输出的天然气精炼厂，以说明所提出方法的性能。结果表明，所提出的方法有效地分配资源并在存在不确定性的情况下设定目标。