The Calculation of Unit's Efficiency by Using the Interval

Subject Areas : International Journal of Data Envelopment Analysis

B. Babazadeh ¹ , E. Najafi ² , M. AhadzadehNamin ³ , Y. jafari ⁴ , Z. Ebrahimi ⁵

1 - Department of Industrial Engineering, Science and Research Branch, Islamic Azad University, Saveh, Iran
2 - Department of Industrial Engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran
3 - Department of mathematics, Shahr-e-QodsBranch, Islamic Azad University, Tehran, Iran
4 - Department of Mathematics, Shabestar Branch, Islamic Azad University, Shabestar, Iran
5 - Department of Industrial Engineering, Science and Research Branch, Islamic Azad University, Saveh, Iran

Received: 2013-08-05 Accepted : 2014-01-24 Published : 2014-03-30

Keywords: DEA, Ranking, Interval data, L1-norm,

Abstract :

Data Envelopment Analysis )DEA( is a technique for measuring the efficiency of decision makingunits. In all models of the DEA, for each unit under assessment, the numerical efficiency which maybe less than or equal to one is obtained. Given the possible large number of efficiency units forevaluating units, we use various methods of ranking. span style="font-family: Cambria Math;font-size:8pt;color:rgb(0,0,0);font-style:normal;font-variant:normal L1norm is one of the methods of ranking. Thismethod has been used for categorical data. In this paper, we assume data as interval and introducespan style="font-family: Cambria Math;font-size:8pt;color:rgb(0,0,0);font-style:normal;font-variant:normal L1norm andrun it on a single example.