Development of Intuitionistic Fuzzy Data Envelopment Analysis Model Based on Interval Data Envelopment Analysis Model

In the present study, we highlight the importance of taking hesitation into account when calculating the efficiencies of firms or decision-making units (DMUs) with intuitionistic fuzzy (IF) data. Most of the previous studies related to the calculation of efficiencies of DMUs with IF data have ignored the hesitation present in IF variables. The present study uses the technique of data envelopment analysis (DEA) to calculate the relative efficiencies of DMUs. It develops a new model for the calculation of IF efficiencies in the form of intervals. We conclude that the hesitation is indirectly related to the efficiencies of DMUs and deduce a formula to calculate the reduced efficiencies. We also present a method for ranking firms. Lastly, an example is illustrated to verify the working of the developed model.