Fuzzy efficiency measures in data envelopment analysis with interactive fuzzy variables

In this paper, we develop a novel fuzzy data envelopment analysis (DEA) model, using fuzzy Choquet integral as an aggregating tool to evaluate the efficiencies of the decision making units (DMUs). The proposed model can be used to evaluate the fuzzy efficiency of the DMU with interactive fuzzy variables (fuzzy inputs or fuzzy outputs), and meanwhile, a ranking method of the fuzzy efficiency is introduced. At the end of the paper, we will use numerical examples to illustrate the performance of the proposed model.