An application of fuzzy undesirable two-stage DEA models for banking industry under randomness conditions

Data envelopment analysis (DEA) is a widely used technique for measuring the relative efficiencies of decision making units (DMUs) with multiple inputs and multiple outputs. However, in real life applications, undesirable outputs may be present in the production process which needs to be minimized. This study proposes a two-stage DEA models by taking into account undesirable output with fuzzy stochastic data. A normal distribution with fuzzy component adopted for inputs, intermediate outputs, desirable and undesirable outputs. In particular, we propose a linear and feasible model in deterministic form. To achieve this aim, a possibility-probability approach is applied on a reform of two-stage DEA models occupied with undesirable outputs.

کلیدواژه ها:

Data envelopment analysis ، Two-stage ، Undesirable output ، Fuzzy random variable ، Efficiency score