This paper proposes a method to rank multiple efficient candidates, which often happens in DEA method, by comparing the least relative total scores for each efficient candidate with the best and the least relative total scores measured in the same range. By a numerical example, our model is used to identify efficient candidate and the model can get less efficient candidates too than that can be identified by the model given by Wang and Chin [Y.M. Wang, K.S. Chin, Discriminating DEA efficient candidates by considering their least relative total scores, J. Comput. Appl. Math. 206 (2007) 209-215]. This paper also points out that there is a drawback in the theorem about epsilon given by Wang and Chin [Y.M. Wang, K.S. Chin, Discriminating DEA efficient candidates by considering their least relative total scores, J. Comput. Appl. Math. 206 (2007) 209-215]. (C) 2007 Elsevier B.V. All rights reserved.