This paper proposes a novel slacks-based interval DEA approach that computes interval targets, slacks, and crisp inefficiency scores. It uses interval arithmetic and requires solving a mixed-integer linear program. The corresponding super-efficiency formulation to discriminate among the efficient units is also presented. We also provide a case study of its application to sustainable tourism in the Mediterranean region, assessing the sustainable tourism efficiency of twelve Mediterranean regions to validate the proposed approach. The inputs and outputs cover the three sustainability dimensions and include GHG emissions as an undesirable output. Three regions were found inefficient, and the corresponding inputs and output improvements were computed. A total rank of the regions was also obtained using the super-efficiency model.

翻译：本文提出一种基于松弛变量的区间DEA新方法，可计算区间目标值、松弛量及明晰无效率得分。该方法采用区间算术运算，需通过求解混合整数线性规划实现。本文还给出了相应的超效率模型以区分有效决策单元。通过地中海地区可持续旅游案例研究，评估了十二个地中海区域的可持续旅游效率以验证所提方法。投入产出指标涵盖可持续发展三个维度，并将温室气体排放作为非期望产出。研究识别出三个无效区域，并计算了相应的投入产出改进值。通过超效率模型还获得了各区域的完整排名。