Ranking of Stochastic DEA with using an integrated method using Data envelopment analysis and Fuzzy preference relations

An integrated method using data envelopment analysis and fuzzy preference relation model is one of the models in data envelopment analysis widely used by DEA people and practitioners. However, in many real applications, data is often imprecise. A successful method to address uncertainty in data is replacing deterministic data by random variables, leading to stochastic DEA. Therefore, in this paper, An integrated method using data envelopment analysis and fuzzy preference relations model is developed in stochastic data envelopment analysis, and its deterministic equivalent which is a nonlinear program is derived. Moreover, it is shown that the deterministic equivalent of the stochastic model can be converted to a quadratic program. Finally, a numerical example for illustration purpose is presented.

Ranking of Stochastic DEA with using an integrated method using Data envelopment analysis and Fuzzy preference relations Keywords:

Data envelopment analysis , Performance evaluation , Preference relation , Stochastic DEA , Cross evaluation