Proposed in this study is a hybrid model for supporting the department selection process within Iran Amirkabir University. This research is a two-stage model designed to fully rank the organizational departments where each department has multiple inputs and outputs. First, the department evaluation problem is formulated by Data Envelopment Analysis (DEA) and separately formulates each pair of units. In the second stage, the pair-wise evaluation matrix generated in the first stage is utilized to fully rank-scale the units via the Fuzzy Analytical Network Process (FANP). The FANP method adopted here uses triangular fuzzy numbers. ANP equipped with fuzzy logic helps in overcoming the impreciseness in the preferences. DEA-FANP ranking does not replace the DEA classification model; rather, it furthers the analysis by providing full ranking in the DEA context for all departments, efficient and inefficient.