Ranking of Efficient Decision Making Units using the Combination of MERECmethod and Game theory

Data Envelopment Analysis (DEA) is a non-parametricmethod for evaluating and ranking decision making units(DMUs) that use multiple inputs to produce multiple outputs.In DEA classic methods, DMUs are divided into two groupsof efficient and inefficient DMUs, where the efficiency of allefficient DMUs are equal to one. Different methods havebeen proposed for ranking efficient DMUs. In this article,we use the combination of cooperative game theory andMethod Based on the Removal Effects of Criteria (MEREC)to rank the efficient DMUs. We consider efficient DMUs asplayers and the subsets of these players as coalitions. Wemake the Production Possibility Set (PPS) by the inefficientDMUs and members of each coalition and define thecharacteristic function of that coalition as the sum ofefficiency of inefficient DMUs of this PPS . Then wecalculate the weight of the efficient DMUs by method basedon the removal effects of criteria (MEREC) method andrank them using the weighted Shapley value of efficientDMUs.

کلیدواژه ها:

Data Envelopment Analysis ، Coopertive game ، MERECmethod ، Shapley value