This work proposes an inequality approach with the quasi-ordered set to evaluate the performances of decision making units (DMUs). In real world applications, input and output data are often imprecise and fluctuated. In this case, a fuzzy inequality approach is proposed to evaluate DMUs with fuzzy data. Fuzzy inequalities consist of fuzzy expressions of the production possibility set and the line segment joining the origin to the evaluated DMU. Moreover, under constant returns to scale, the production possibility set is spanned by all the DMUs without the evaluated DMU. Fuzzy efficiency is dependent upon whether the solution set of fuzzy inequalities is empty or not. The quasi-ordered set is used to distinguish the fuzzy efficiency. Finally, numerical examples are used to illustrate the approach.

中文翻译：

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具有准序集的模糊评估方法：评估决策单元的效率

这项工作提出了一种具有准序集的不平等方法，用于评估决策单位（DMU）的绩效。在实际应用中，输入和输出数据通常不精确且波动很大。在这种情况下，提出了一种模糊不等式方法来评估具有模糊数据的DMU。模糊不等式由生产可能性集和将原点连接到已评估DMU的线段的模糊表达式组成。而且，在规模报酬不变的情况下，所有DMU都跨越了生产可能性集，而没有评估DMU。模糊效率取决于模糊不等式的解集是否为空。拟序集用于区分模糊效率。最后，通过数字示例说明了该方法。