References
- Adler, N., Friedman, L., & Sinuany-Stern, Z. (2002). Review of ranking methods in the data envelopment analysis context. European Journal of Operational Research, 140(2), 249–265. https://doi.org/10.1016/S0377-2217(02)00068-1
- Andersen, P., & Petersen, N. C. (1993). A procedure for ranking efficient units in data envelopment analysis. Management Science, 39(10), 1261–1294. https://doi.org/10.1287/mnsc.39.10.1261
- Anderson, T. R., Hollingsworth, K. B., & Unman, L. B. (2002). The fixed weight nature of a cross-evaluation model. Journal of Productivity Analysis, 18, 249–255. https://doi.org/10.1023/A:1015012121760
- Angiz, M. Z., & Sajedi, M. A. (2012). Improving cross-efficiency evaluation using fuzzy concepts. World Applied Sciences Journal, 16(10), 1352–1359.
- Carrillo, M., & Jorge, J. M. (2018). An alternative neutral approach for cross-efficiency evaluation. Computers & Industrial Engineering, 120, 137–145. https://doi.org/10.1016/j.cie.2018.04.017
- Charnes, A., Cooper, W. W., & Rhodes, E. (1978). Measuring the efficiency of decision making units. European Journal of Operational Research, 2(6), 429–444. https://doi.org/10.1016/0377-2217(78)90138-8
- Chu, J., Wu, J., & Chu, C. (2019). A multi-objective model for Pareto optimality in data envelopment analysis cross-efficiency evaluation. European Journal of Operational Research, https://doi.org/https://doi.org/10.1016/j.ejor.2019.12.020
- Contreras, I. (2012). Optimizing the rank position of the DMU as secondary goal in DEA cross-evaluation. Applied Mathematical Modelling, 36(6), 2642–2648. https://doi.org/10.1016/j.apm.2011.09.046
- Contreras, I., Lozano, S., & Hinojosa, M. A. (2019). A bargaining approach to determine common weights in DEA. Operational Research International Journal, 1–21. https://doi.org/https://doi.org/10.1007/s12351-019-00498-w
- Cook, W.D., & Zhu, J. (2015). DEA cross efficiency In Zhu (Ed) Data Envelopment Analysis. In International Series in Operations Research and Management Science. Springer.
- Davtalab-Olyaie, M. (2019). A secondary goal in DEA cross-efficiency evaluation: A “one home run is much better than two doubles” criterion. Journal of the Operational Research Society, 70(5), 807–816. https://doi.org/10.1080/01605682.2018.1457482
- Doyle, J. R., & Green, R. H. (1994). Efficiency and cross-efficiency in DEA: Derivations, meanings and uses. Journal of the Operational Research Society, 45(5), 567–578. https://doi.org/10.1057/jors.1994.84
- Emrouznejad, A., Parker, B., & Tavares, G. (2008). Evaluation of research in efficiency and productivity: A survey and analysis of the first 30 years of scholarly literature in DEA. Socio-Economic Planning Sciences, 42(3), 151–157. https://doi.org/10.1016/j.seps.2007.07.002
- Guajardo, M., & Jörnsten, K. (2015). Common mistakes in computing the nucleolus. European Journal of Operational Research, 241(3), 931–935. https://doi.org/10.1016/j.ejor.2014.10.037
- Hou, Q., Wang, M., & Zhou, X. (2018). Improved DEA cross efficiency evaluation method based on ideal and anti-ideal points. Discrete Dynamics in Nature and Society, 2018, 1–9. [Mismatch] https://doi.org/10.1155/2018/1604298
- Hatami-Marbini, A., Agrell, P. J., Tavana, M., & Khoshnevis, P. (2017). A flexible cross-efficiency fuzzy data envelopment analysis model for sustainable sourcing. Journal of Cleaner Production, 142, 2761–2779. https://doi.org/10.1016/j.jclepro.2016.10.192
- Jahanshahloo, G. R., Khodabakhshi, M., Hosseinzadeh Lotfi, F., & Moazami Goudarzi, M. R. (2011). A cross-efficiency model based on super-efficiency for ranking units through the TOPSIS approach and its extension to the interval case. Mathematical and Computer Modelling, 53(9–10), 1946–1955. https://doi.org/10.1016/j.mcm.2011.01.025
- Kalai, E., & Smorodinsky, M. (1975). Other Solutions to Nash’s bargaining problem. Econometrica, 43(3), 513–518. https://doi.org/10.2307/1914280
- Kao, C., & Liu, S. T. (2020). A slacks-based measure model for calculating cross efficiency in data envelopment analysis. Omega, 102192. https://doi.org/https://doi.org/10.1016/j.omega.2020.102192
- Lam, K. F. (2010). In the determination of weights sets to compute cross-efficiency ratios in DEA. Journal of the Operational Research Society, 61(1), 134–143. https://doi.org/10.1057/jors.2008.138
- Liang, L., Wu, J., Cook, W. D., & Zhu, J. (2008a). Alternative secondary goals in DEA cross-efficiency evaluation. International Journal of Production Economics, 113(2), 1025–1030. https://doi.org/10.1016/j.ijpe.2007.12.006
- Liang, L., Wu, J., Cook, W. D., & Zhu, J. (2008b). The DEA game cross-efficiency model and its Nash equilibrium. Operations Research, 56(5), 1278–1288. https://doi.org/10.1287/opre.1070.0487
- Lim, S. (2012). Minimax and maximin formulations of cross-efficiency in DEA. Computers & Industrial Engineering, 62(3), 726–731. https://doi.org/10.1016/j.cie.2011.11.010
- Lin, R. (2020). Cross-efficiency evaluation capable of dealing with negative data: A directional distance function based approach. Journal of the Operational Research Society, 71(3), 505–516. https://doi.org/https://doi.org/10.1080/01605682.2019.1567652
- Liu, J. S., Lu, L. Y. Y., Lu, W. M., & Lin, B. J. Y. (2013). A survey of DEA applications. Omega, 41(5), 893–902. https://doi.org/10.1016/j.omega.2012.11.004
- Liu, P., Wang, L. F., & Chang, J. (2017). A revised model of the neutral DEA model and its extension. Mathematical Problems in Engineering, 2017, 1–13. https://doi.org/10.1155/2017/1619798
- Liu, W., Wang, Y. M., & Lv, S. (2017). An aggressive game cross-efficiency evaluation in data envelopment analysis. Annals of Operations Research, 259(1–2), 241–258. https://doi.org/10.1007/s10479-017-2524-1
- Liu, X., Chu, J., Yin, P., & Sun, J. (2017). DEA cross-efficiency evaluation considering undesirable output and ranking priority: A case study of eco-efficiency analysis of coal-fired power plants. Journal of Cleaner Production, 142, 877–885. https://doi.org/10.1016/j.jclepro.2016.04.069
- Lozano, S., Hinojosa, M. A., & Marmol, A. M. (2019). Extending the bargaining approach to DEA target setting. Omega, 85, 94–102. https://doi.org/10.1016/j.omega.2018.05.015
- Maddahi, R., Jahanshahloo, G. R., Hosseinzadeh Lotfi, F., & Ebrahimnejad, A. (2014). Optimising proportional weights as a secondary goal in DEA cross-efficiency evaluation. International Journal of Operational Research, 19(2), 234–245. https://doi.org/10.1504/IJOR.2014.058953
- Nash, J. F. (1950). The bargaining problem. Econometrica, 18(2), 155–162. https://doi.org/10.2307/1907266
- Örkcü, H. H., & Bal, H. (2011). Goal programming approaches for data envelopment analysis cross efficiency evaluation. Applied Mathematics and Computation, 218(2), 346–356. https://doi.org/10.1016/j.amc.2011.05.070
- Ramon, N., Ruiz, J. L., & Sirvent, I. (2010). On the choice of weights profiles in cross-efficiency evaluations. European Journal of Operational Research, 207(3), 1564–1572. https://doi.org/10.1016/j.ejor.2010.07.022
- Ruiz, J. L. (2013). Cross-efficiency evaluation with directional distance functions. European Journal of Operational Research, 228(1), 181–189. https://doi.org/10.1016/j.ejor.2013.01.030
- Ruiz, J. L., & Sirvent, I. (2012). On the DEA total weight flexibility and the aggregation in cross-efficiency evaluation. European Journal of Operational Research, 223(3), 732–738. https://doi.org/10.1016/j.ejor.2012.06.011
- Ruiz, J. L., & Sirvent, I. (2017). Fuzzy cross-efficiency evaluation: A possibility approach. Fuzzy Optimization and Decision Making, 16(1), 111–126. https://doi.org/10.1007/s10700-016-9240-1
- Sexton, T. R., Silkman, R. H., & Hogan, A. J. (1986). Data envelopment analysis, critique and extensions. In Silkman, R.H. (Ed.), Measuring efficiency, an assessment of data envelopment analysis (pp. 73–105). Jossey-Bass. https://doi.org/10.1002/ev.1441
- Shi, H., Wang, Y. M., & Chen, L. (2019). Neutral cross-efficiency cross-efficiency evaluation regarding an ideal frontier and anti-ideal frontier as evaluation criteria. Computers & Industrial Engineering, 132(1), 385–394. https://doi.org/10.1016/j.cie.2019.04.035
- Wang, M., & Li, Y. (2014). Supplier evaluation based on Nash bargaining game model. Expert Systems with Applications, 41(9), 4181–4185. https://doi.org/10.1016/j.eswa.2013.12.044
- Wang, Y. M., & Chin, K. S. (2010a). Some alternative models for DEA cross-efficiency evaluation. International Journal of Production Economics, 128(1), 332–338. https://doi.org/10.1016/j.ijpe.2010.07.032
- Wang, Y. M., & Chin, K. S. (2010b). A neutral DEA model for cross-efficiency evaluation and its extension. Expert Systems with Applications, 37(5), 3666–3675. https://doi.org/10.1016/j.eswa.2009.10.024
- Wang, Y. M., & Chin, K. S. (2011). the use of OWA operator weights for cross-efficiency aggregation. Omega, 39(5), 493–503. https://doi.org/10.1016/j.omega.2010.10.007
- Wang, Y.-M., Chin, K.-S., & Luo, Y. (2011). Cross-efficiency evaluation based on ideal and anti-ideal decision making units. Expert Systems with Applications, 38(8), 10312–10319. https://doi.org/10.1016/j.eswa.2011.02.116
- Wang, Y. M., Chin, K. S., & Wang, S. (2012). DEA models for minimizing weight disparity in cross-efficiency evaluation. Journal of the Operational Research Society, 63(8), 1079–1088. https://doi.org/10.1057/jors.2011.116
- Wong, Y. H. B., & Beasley, J. E. (1990). Restricting weight flexibility in data envelopment analysis. Journal of the Operational Research Society, 41(9), 829–835. https://doi.org/10.1057/jors.1990.120
- Wu, J., Chu, J., Sun, J., & Zhu, Q. (2016). DEA cross-efficiency evaluation based on Pareto improvement. European Journal of Operational Research, 248(2), 571–579. https://doi.org/10.1016/j.ejor.2015.07.042
- Wu, J., Chu, J., Sun, J., Zhu, Q., & Liang, L. (2016). Extended secondary goal models for weights selection in DEA cross-efficiency evaluation. Computers & Industrial Engineering, 93, 143–151. https://doi.org/10.1016/j.cie.2015.12.019
- Wu, J., Chu, J., Zhu, Q., Yin, P., & Liang, L. (2016). DEA cross-efficiency evaluation based on satisfaction degree: An application to technology selection. International Journal of Production Research, 54(20), 5990–6007. https://doi.org/10.1080/00207543.2016.1148278
- Wu, J., Liang, L., & Chen, Y. (2009). DEA game cross-efficiency approach to Olympic rankings. Omega, 37(4), 909–918. https://doi.org/10.1016/j.omega.2008.07.001
- Wu, J., Liang, L., & Yang, F. (2009). Determination of the weights for the ultimate cross efficiency using Shapley value in cooperative game. Expert Systems with Applications, 36(1), 872–876. https://doi.org/10.1016/j.eswa.2007.10.006
- Wu, J., Liang, L., Yang, F., & Yan, H. (2009). Bargaining game model in the evaluation of decision making units. Expert Systems with Applications, 36(3), 4357–4362. https://doi.org/10.1016/j.eswa.2008.05.001
- Wu, J., Liang, L., Zha, Y., & Yang, F. (2009). Determination of cross-efficiency under the principle of rank priority in cross evaluation. Expert Systems with Applications, 36(3), 4826–4829. https://doi.org/10.1016/j.eswa.2008.05.042
- Wu, J., Sun, J., & Liang, L. (2012a). Cross efficiency evaluation method based on weight-balanced data envelopment analysis. Computers & Industrial Engineering, 63(2), 513–519. https://doi.org/10.1016/j.cie.2012.04.017
- Wu, J., Sun, J., & Liang, L. (2012b). DEA cross-efficiency aggregation method based upon Shannon entropy. International Journal of Production Research, 50(23), 6726–6736. https://doi.org/10.1080/00207543.2011.618150
- Wu, J., Sun, J., Liang, L., & Zha, Y. (2011). Determination of weights for ultimate cross efficiency using Shannon entropy. Expert Systems with Applications, 38(5), 5162–5165. https://doi.org/10.1016/j.eswa.2010.10.046
- Yu, Y., Zhu, W., & Zhang, Q. (2017). DEA cross-efficiency evaluation and ranking method based on interval data. Annals of Operations Research, 278, 159–175. https://doi.org/10.1007/s10479-017-2669-y
- Yang, F., Ang, S., Xia, Q., & Yang, C. (2012). Ranking DMUs by using interval DEA cross efficiency matrix with acceptability analysis. European Journal of Operational Research, 223(2), 483–488. https://doi.org/10.1016/j.ejor.2012.07.001
- Yang, F., Ang, S., Xia, Q., & Yang, C. (2013). Cross-efficiency aggregation in DEA models using the evidential-reasoning approach. European Journal of Operational Research, 231(2), 393–404. https://doi.org/10.1016/j.ejor.2013.05.017
- Zohrehbandian, M., & Sadeghi, G. S. (2013). Cross-efficiency evaluation under the principle of rank priority of DMUs. World Applied Sciences Journal, 21, 46–49.