基于公共权重的区间DEA效率评价及其排序方法研究

针对传统区间数据包络分析方法，在确定每一个决策单元区间效率的上界和下界时，存在的评价尺度不一致且计算复杂等问题，本文提出了一种同时最大化所有决策单元的效率上界和下界的公共权重区间DEA模型，并给出了一种考虑决策者偏好信息的可能度排序方法，用以解决区间效率的全排序问题。最后，以中国大陆11个沿海省份工业生产效率测算为例说明了所提方法的有效性和实用性。

A common-weights interval DEA approach for efficiency evaluation and its ranking method

In order to solve the inconsistency of the evaluation scale in efficiency evaluation in interval data envelopment analysis, this paper proposes a common weight interval DEA model based on the target by maximizing the sum of the upper bound efficiency and the lower bound efficiency of all decision-making units (DMUs). Thus, our approach not only makes the interval efficiency of all DMUs being comparable, but also ensures that the upper bound efficiency and the lower bound efficiency are evaluated in the same scale. To rank the interval efficiencies completely a new approach which is based on the defined possibility degree formula in considering of the decision makers' interval preference is proposed. Finally, an example of measuring the industrial efficiencies in 11 coastal provinces of China is investigated to illustrate the effectiveness and the usefulness of our approaches.