Ranking Units in DEA by Using the Voting System

One of the main problems in Data Envelopment Analysis (DEA) is ranking Decision Making Units (DMUs). There exist many different DEA models. These models often do not have any theoretical problems dealing with most data. However, because each of these models considers a certain theory for ranking, they may give different ranks. So, often in practice, choosing a ranking model, the results of which the Decision Maker (DM) would be able to trust is an important issue. In this article, ranking is done by proposing a method in which the ranks of different ranking models are used, each of which is important and significant. This method is based on the voting system. In voting systems, one candidate may receive different votes in different ranking places. The total score of each candidate is the weighted sum of the votes that the candidate receives in different places. The candidate that has the highest total score has the best rank. In this paper, we consider the various ranking models as voters which can rank DMUs from the top to the end and DMUs as candidates try to obtain a full rank from their votes.