Efficiency Evaluation and Ranking DMUs in the Presence of Interval Data with Stochastic Bounds

Subject Areas : International Journal of Data Envelopment Analysis

Hamid Sharafi ^{1 *} , Mohsen Rostamy-Malkhalifeh ² , Alireza Salehi ³ , Mohammad Izadikhah ⁴

1 - Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran
2 - Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran
3 - Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran
4 - Department of Mathematics, Islamic Azad University, Arak Branch, Arak, Iran.

Received: 2014-11-08 Accepted : 2015-01-17 Published : 2015-01-17

Keywords: Data envelopment analysis (DEA, Decision making unit (DMU), Efficiency, Ranking, Interval data, stochastic bounds,

Abstract :

On account of the existence of uncertainty, DEA occasionally faces the situation of imprecise data, especially when a set of DMUs include missing data, ordinal data, interval data, stochastic data, or fuzzy data. Therefore, how to evaluate the efficiency of a set of DMUs in interval environments is a problem worth studying. In this paper, we discussed the new method for evaluation and ranking interval data with stochastic bounds. The approach is exemplified by numerical examples.