Ideal and anti-ideal decision making units: A fuzzy DEA approach


1 M.S., Dep. of Industrial Engineering, Islamic Azad University, South Tehran Branch, Tehran, Iran

2 Assistant Professor, Dep. of Mathematics, Islamic Azad University, North Tehran Branch, Tehran, Iran

3 Assistant Professor, Dep. of Industrial Engineering, Iran University of Science and Technology, Tehran, Iran


In this paper, by introducing two virtual decision-making units (DMUs) called ideal DMU (IDMU) and anti-ideal DMU (ADMU) with fuzzy inputs-outputs, the efficiency evaluation of DMUs are done by fuzzy data envelopment analysis (FDEA). Therefore, we evaluate DMUs from the perspective of the best and worst possible relative efficiency. For each DMU two efficiencies are calculated while inputs and outputs are fuzzy. These two distinctive efficiencies are combined with the closeness coefficient (CC) index. The CC index is then used for an overall ranking of all DMUs. Finally, we compare the result of proposed fuzzy DEA model with León et al.’s (2003) results by representing a numerical example.