DEA cross‐efficiency aggregation based on preference structure and acceptability analysis

Abstract

Although a considerable amount of efforts have been made to overcome the drawbacks of traditional equal aggregation in the Data Envelopment Analysis cross‐efficiency evaluation, the endogenous preference structures in the cross‐efficiency matrix are still largely unexplored. We first untangle both preferential differences denoting the preference degrees among different Decision Making Unit (DMU), and preferential priorities denoting the favorite ranking of the DMUs. A revised cross‐efficiency matrix is formulated. We then apply the stochastic multicriteria acceptability analysis for group decision‐making method to obtain a set of holistic acceptability indices corresponding to different DMUs. Finally, we develop a satisfaction index to evaluate the satisfactory level of the proposed method. Two numerical examples with respect to the Flexible Manufacturing System selection problem and industrial robot selection problem are conducted to validate the proposed methodology. The superiority of our methodology is manifested in terms of an improvement of the overall satisfactory level as 18.69% and 8.48%, respectively.

Economic and Environmental Aspects of Engine Selection in Cargo Transportation

“…DEA methods were also found in security systems [15] and transport analysis [16]. The paper [17] concludes that while much effort has been made to overcome the disadvantages of traditional equal aggregation in Data Volume Analysis cross-performance, the endogenous preference structures in the cross-performance matrix are still largely unexplored. Finally, the DEA method was used to study the effectiveness of intermodal terminals [18].…”

“…If the tested objects have standard features that can be visualised, the outlays can be compared with the obtained results [17], provided that external factors will not influence the performance result. This method allows the index results to be extended with the parameters necessary for the correct effectiveness analysis.…”

Efficiency evaluation of healthcare services in China based on stochastic multicriteria acceptability analysis and directional distance function

“…These decision-making indicators can provide informative and reliable ranking results; further, they can provide feedback for management enlightenment. Therefore, compared to other decision-making methods, the SMAA-2 method is favored by decision-makers (Song et al, 2021a(Song et al, , 2021bZhang et al, 2021;Fu and Li, 2021;Wei et al, 2021).…”