期刊
INFORMATION SCIENCES
卷 514, 期 -, 页码 319-332出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.ins.2019.11.032
关键词
Group decision making; Multiplicative DEA cross-efficiency; Acceptability index; Assignment problem; Expected priority vector
资金
- National Natural Science Foundation of China [71501002, 61502003, 71871001, 71620107003]
- Anhui Provincial Natural Science Foundation [1608085QF133]
- Key research project of humanities and social sciences in colleges and universities of Anhui province [SK2019A0013, SK2018A0605]
- US Army Research Office [W911NF-15-1-0223]
To deal with group decision making (GDM) with interval multiplicative preference relations (IMPRs), this paper proposes a novel method based on multiplicative data envelopment analysis (DEA) cross-efficiency and stochastic weight space acceptability analysis. We first develop a multiplicative DEA model to evaluate the relative efficiency of all alternatives of a given multiplicative preference relation (MPR). Then, we present a method, free from consistency adjustment, to derive a priority vector using the multiplicative DEA cross-efficiency with respect to the given MPR. For GDM with IMPRs, we consider the decision makers' weights as a uniform distribution for acceptability analysis. A modified unacceptability index is further defined to measure the unlikeliness for a particular alternative in a particular rank. Finally, we develop an assignment problem model to achieve an optimal ranking by minimizing the total rank unacceptability, and to compute the expected priority vector of all alternatives. Numerical examples are provided to show the applicability and justifications of the proposed GDM method. (C) 2019 Elsevier Inc. All rights reserved.
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