Sensitivity and stability analysis in two-stage DEA models with fuzzy data

In this paper, a fuzzy two-stage (FTSDEA) has been proposed. Each decision-making unit (DMU) has been supposed to make up two serially connected sub-DMUs. The uncertainty of measures has been represented using linguistic terms parameterised through fuzzy sets. Mathematical modelling of proposed FTSDEA results in a great reduction of computational efforts. Then, a sensitivity analysis has also been supplied for the proposed FTSDEA to determine the radius of stability within which data variations in a fuzzy environment will not alter a DMU's, sub-DMU's classification from efficient to inefficient status or vice versa. A set of efficient models has been proposed to this aim in a fuzzy environment. An illustrative example has been supplied to demonstrate the applicability of the proposed method.