TY - CHAP
T1 - A Two-Level Induced OWA Procedure for Ranking DMUs Under a DEA Cross-Efficiency Framework
AU - Oukil, Amar
N1 - Publisher Copyright:
© 2023, The Author(s), under exclusive license to Springer Nature Switzerland AG.
PY - 2023/1/1
Y1 - 2023/1/1
N2 - Cross-efficiency (CE) evaluation is an extension of data envelopment analysis (DEA) used to fully rank decision-making units (DMUs). The ranking process is carried out on the matrix of CE scores, where an ultimate efficiency score is computed for each DMU through an adequate amalgamation process. In this paper, we propose a ranking procedure that computes the ultimate scores over two aggregation levels, which involve ordered weighted averaging (OWA) induced by different preference settings. First, the preference voting system embedded under the CE matrix is employed to derive aggregate votes as inner quantifiers of the consensual importance of the DMUs. Next, the preference order induced from the aggregate votes is adopted as a ground for rearranging the rows of the original CE matrix prior to the ultimate calculation of the efficiency scores. To substantiate the impact of subjectivity on the structure of the ranking patterns and, hence, assess the robustness of the proposed procedure, the induced OWA is implemented with different optimism level values. The proposed methodology is applied for selecting the best material handling equipments (MHE) within a sample of 25 real-life MHEs, collected from catalogues of MHE manufacturers and vendors.
AB - Cross-efficiency (CE) evaluation is an extension of data envelopment analysis (DEA) used to fully rank decision-making units (DMUs). The ranking process is carried out on the matrix of CE scores, where an ultimate efficiency score is computed for each DMU through an adequate amalgamation process. In this paper, we propose a ranking procedure that computes the ultimate scores over two aggregation levels, which involve ordered weighted averaging (OWA) induced by different preference settings. First, the preference voting system embedded under the CE matrix is employed to derive aggregate votes as inner quantifiers of the consensual importance of the DMUs. Next, the preference order induced from the aggregate votes is adopted as a ground for rearranging the rows of the original CE matrix prior to the ultimate calculation of the efficiency scores. To substantiate the impact of subjectivity on the structure of the ranking patterns and, hence, assess the robustness of the proposed procedure, the induced OWA is implemented with different optimism level values. The proposed methodology is applied for selecting the best material handling equipments (MHE) within a sample of 25 real-life MHEs, collected from catalogues of MHE manufacturers and vendors.
KW - Aggregation
KW - Data envelopment analysis
KW - Induced ordered weighted averaging
KW - Preference voting
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UR - https://www.mendeley.com/catalogue/6cc534da-40be-34ac-8d70-12362dc7b285/
U2 - 10.1007/978-3-031-18641-7_47
DO - 10.1007/978-3-031-18641-7_47
M3 - Chapter
AN - SCOPUS:85166094855
T3 - Lecture Notes in Production Engineering
SP - 495
EP - 521
BT - Lecture Notes in Production Engineering
PB - Springer Nature
ER -