an algorithm for determining common weights by concept of membership function

Data envelopment analysis (dea) is a method to evaluate the relative efficiency of decision making units (dmus). in this method, the issue has always been to determine a set of weights for each dmu which often caused many problems. since the dea models also have the multi-objective linear programming (molp) problems nature, a rational relationship can be established between molp and dea problems to overcome the problem of determining weights. in this study, a membership function was defined base on the results of ccr model and cross efficiency, and by using this membership function in a proposed model, we obtained a common set of weights for all dmus. finally, by solving a sample problem, the proposed algorithm was explained.