Consistency Adjustment Strategy and Multiplicative DEA Cross-Efficiency for Group Decision-Making with Probabilistic Linguistic Preference Relations

被引:7
作者
Liu, Jinpei [1 ,2 ]
Shao, Longlong [1 ]
Zhou, Ligang [3 ,5 ]
Jin, Feifei [1 ,4 ,5 ]
机构
[1] Anhui Univ, Sch Business, Hefei 230601, Anhui, Peoples R China
[2] North Carolina State Univ, Dept Ind & Syst Engn, Raleigh, NC 27695 USA
[3] Anhui Univ, Sch Math Sci, Hefei 230601, Anhui, Peoples R China
[4] Anhui Univ, 111 Jiulong Rd, Hefei 230601, Anhui, Peoples R China
[5] Anhui Univ, Ctr Appl Math, Hefei 230601, Peoples R China
基金
中国国家自然科学基金;
关键词
Group decision-making; Probabilistic linguistic preference relation; Additive consistency; Consistency adjustment algorithm; Multiplicative DEA cross-efficiency; DATA ENVELOPMENT ANALYSIS; TERM SETS; MODEL; RANKING;
D O I
10.1007/s40815-021-01159-x
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Probabilistic linguistic preference relation (PLPR) is an effective tool for decision-makers (DMs) to express their preferences in the decision-making process. However, the preferences provided by DMs may be inconsistent, which may lead to unreasonable decision-making results. Therefore, this paper proposes a group decision-making (GDM) method with PLPRs based on a consistency improvement algorithm and an improved multiplicative data envelopment analysis (DEA) model. For a given inconsistent PLPR, we first propose an optimization model to obtain a complete consistent PLPR. And then we use the proposed consistency adjustment algorithm to get a PLPR with acceptable consistency. Subsequently, we develop a transformation function that can transform PLPRs into multiplicative preference relations (MPRs). Furthermore, we put forward an improved multiplicative DEA model to obtain the priority vector of MPR, and the reliable ranking order of all alternatives is determined. Finally, a numerical example of cold storage construction for storing fresh products is presented to show the effectiveness and applicability of the proposed GDM method.
引用
收藏
页码:537 / 551
页数:15
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