Abstract

This paper presents a new DEA ranking approach based on the multi-directional efficiency measure (MEM). The advantage of an MEM-based ranking is that it considers all the possible improvement directions for each decision-making unit (DMU) and does not rely on just one specific improvement direction for ranking. To rank efficient DMUs, all of which have an MEM efficiency score of unity, a multi-directional super-efficiency measure (MSEM) is considered. This allows the ranking of all efficient and inefficient units. The proposed ranking method is always feasible and does not need any prior information. The proposed method is applied to a real-life dataset, and the results are compared with those of three other state-of-the-art ranking methods.

摘要

本文提出了一种新的基于多向效率度量 (MEM) 的 DEA 排序方法。基于 MEM 的排名的优势在于它考虑了每个决策单元 (DMU) 的所有可能改进方向，而不是仅依赖于一个特定的改进方向进行排名。为了对所有具有统一的 MEM 效率得分的高效 DMU 进行排名，考虑了多向超效率测量 (MSEM)。这允许对所有高效和低效单位进行排名。所提出的排序方法总是可行的，不需要任何先验信息。将所提出的方法应用于现实生活中的数据集，并将结果与​​其他三种最先进的排名方法进行比较。