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Cross-Efficiency Evaluation Based on an Interval Method | ||
| International Journal of Data Envelopment Analysis | ||
| مقاله 2، دوره 4، شماره 3، آذر 2016، صفحه 1023-1060 اصل مقاله (322.59 K) | ||
| نوع مقاله: Research Paper | ||
| نویسندگان | ||
| M Khodadadi* 1؛ Ghasem Tohidi2 | ||
| 1Department of Mathematics, Urmia Branch, Islamic Azad University, Urmia, Iran | ||
| 2Department of Mathematics, Islamic Azad University, Central Tehran Branch, Iran | ||
| چکیده | ||
| In data envelopment analysis (DEA), several secondary goals have already been proposed in order to overcome the problem of the DEA alternative optimal weights in the cross-efficiency evaluation. However, in the presence of different secondary goals, the rank assigned to some of decision making units (DMUs) may be non-unique. To overcome the shortcomings, this paper considers the elements of cross-efficiency matrix as interval numbers based on maximum and minimum cross-efficiency that each of the DMUs can achieve. Then, the study using a formula reorders the aggregated interval numbers in each row of the cross-efficiency matrix, and obtains the rank of each of DMUs. The new method removes the problem of the DEA alternative optimal weights in the cross-efficiency evaluation. Moreover, it provides a distinct and unique rank to each of the DMUs. Ultimately, the usefulness of the proposed method in comparison with the previous methods is demonstrated by using a numerical example. | ||
| کلیدواژهها | ||
| Data envelopment analysis (DEA)؛ Cross-efficiency evaluation؛ Interval numbers | ||
| مراجع | ||
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[1] Charnes, A., Cooper, W.W., Rhodes, E., Measuring the efficiency of decision making units, Eur. J. Oper. Res. 2, 429–444, 1978.
[2] Adler, N., Friedman, L., Sinuany-Stern, Z., Review of ranking methods in data envelopment analysis context, Eur. J. Oper. Res. 140, 249–265, 2002.
[3] Sexton, T.R., Silkman, R.H., Hogan, A.J., Data envelopment analysis: critique and extensions, 1986, in: Silkman, R.H. (Eds.), Measuring Efficiency: An Assessment of Data Envelopment Analysis. Jossey-Bass, San Francisco, pp. 73–150. | ||
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