Ranking DMUs by ideal points with interval data in DEA

This paper provides a procedure for ranking efficient plural decision making units. In this study we introduce two points namely the ideal point (DMU) and the negative point (fift), to determine an optimal set of weights in which the total virtual distance of all efficient DMUs to the positive point is the shortest and the total virtual distance of all efficient DMUs to the negative point is the longest. This way we can rank all efficient DMUs by TOPSIS approach. At last we will extend our ranking method on the interval data, and then investigate the proposed ranking methodology by a numerical example to illustrate its power in discriminating between DMUs, particularly DEAefficient units,

Keywords:

Data Envelopment Analysis (DEA) , Decision Making Unit (DMU) , the Positive Ideal Point (DMU) , theNegative Ideal Point (Dfb) , TOPSIS , Interval data