An Application of Fuzzy Numbers Ranking in Performance Analysis

Data Envelopment Analysis (DEA) is a mathematical optimization technique that measures the relative efficiency of Decision Making Units (DMUs) with multiple input-output. In traditional DEA models, the data of different DMUs are assumed to be measured by precise values. But, in many real applications there are some imprecise data which represented by fuzzy numbers. In this study, an application of ranking fuzzy numbers is introduced and CCR model with fuzzy inputs and outputs in DEA is extended to propose an innovative version of fuzzy DEA (FDEA). In fact, we transform a fuzzy DEA model to a conventional crisp model by applying ranking fuzzy numbers method. Three numerical examples including an application to bank branches assessment at capital city of Iran are finally applied using the proposed fuzzy CCR model to show its applications and the differences from the other fuzzy DEA models.