Data envelopment analysis with interactive fuzzy variables

Abstract

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

Keywords:

• Data envelopment analysis (DEA)
• efficiency evaluation
• interactive fuzzy variables
• Choquet integral

Additional information

Funding

This work was supported by a grant from National Social Science Fund (14BJY010), National Natural Science Foundation of China (61073121; 41201327) and Hebei province Social Science Fund (HB18GL014).