To rank Decision Making Units (DMU) in Data Envelopment Analysis (DEA), the peerevaluation based cross-efficiency method is generally used. Indeed, in this method, each DMU is evaluated from the view point of other DMUs. In this article, a method is suggested which instead examines each DMU just by using the weights resulting from the evaluation of ideal and anti-ideal virtual DMUs and thus exhibits a new secondary goal that possibly prevents the existence of multiple weights in cross-efficiency evaluation, in addition to introducing a new cross-efficiency score. The advantage of this method over the others is that it needs less computations in determining the crossefficiency score. To this end, some examples are illustrated which show how it differs with other methods.
