extending the super efficiency method to rank the non-extreme efficient units

this article will address the extension of super efficiency method to rank the non-extreme efficient decision making units. many methodologies have introduced methods that can rank efficient units, amongst which, the super efficiency method due to its ability to provide meaningful geometrical as well as economic analyses has a significant place. but the common problem with all the super efficiency models is their inability to rank the non-extreme efficient units. the writing will first, introduce a method for finding a face with the smallest dimension including a non-extreme unit. in continuation, a new production possibility set is constructed by eliminating such surface. removing such surface in done by eliminating decision making on the surface from production possibility set. then, super efficiency of the non-extreme efficient unit can be measured under the new production possibility set. at conclusion, the proposed method will be clarified through an example and its results are compared with the existing methods.