Using Directional Distance Functions to Determine Ranking Ranges in Cross-efficiency Evaluations

Subject Areas : International Journal of Data Envelopment Analysis

Elmira Molahezekara ¹ , Najmeh Malekmohammadi ²

1 - Department of Mathematics, South Tehran Branch, Islamic Azad University, Tehran, Iran.
2 - Department of Mathematics, South Tehran Branch, Islamic Azad University, Tehran, Iran.

Received: 2017-05-30 Accepted : 2017-05-30 Published : 2016-09-01

Keywords: Cross-efficiency evaluation, Ranking, Data Envelopment Analysis, Directional Distance Functions,

Abstract :

1. A. Charnes and W.W. Cooper and E. Rhodes,“Measuring theefficiency of decision making units,”European Journal of Operational Research, 2 (4) 429-444, (1978). 2. C. Kao and S.-T. Liu,“Fuzzy evaluted measures in data envelopment analysis,” Fuzzy Sets and Systems, 113, 427-437, (2000). 3. J.K. Sengupta, A fuzzy system approach in data envelopment analysis,” Computers and Mathematiccs with Applications, 24, 259-266, (1992).

References:

[1] Alcaraz J, Ramón N, Ruiz JL, Sirvent I. Ranking ranges in cross-efficiency evaluations. European Journal of Operational Research. 2013 May 1;226(3):516-21.

[2] Chambers RG, Chung Y, Färe R. Profit, directional distance functions, and Nerlovian efficiency. Journal of Optimization Theory and Applications. 1998 Aug 1;98(2):351-64.

[3] Charnes A, Cooper WW. Programming with linear fractional functionals. Naval Research logistics quarterly. 1962 Sep 1;9(3‐4):181-6.