The Calculation of Unit's Efficiency by Using the Interval Balance Index and the Interval TOPSIS

Subject Areas : International Journal of Data Envelopment Analysis

B. Babazadehah ¹ , E. Najafi ² , M. AhadzadehNamin ³ , Y. jafari ⁴ , E. 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: 2013-08-09 Accepted : 2013-10-07 Published : 2013-10-01

Keywords: Data Envelopment Analysis, Ranking, Interval data, Balance Index, TOPSIS,

Abstract :

Data envelopment analysis (DEA) is a technique for measuring the efficiency of decision making units. In all models of the DEA, for each unit under assessment, the numerical efficiency is obtained which may be less than or equal to one. Given the possible large number of functional units, we use various ranking methods for evaluating units. One of the rating methods is Balance index and Topsis. This method has been used for categorical data. In this paper, we assume data as interval, introduce the interval Balance index and the interval Topsis and run it on a single example.