A 0-1 mixed programming model based method for group decision making with intuitionistic fuzzy preference relations
A 0-1 mixed programming model based method for group decision making with intuitionistic fuzzy preference relations
复制标题
一种基于0-1混合规划模型的直观模糊偏好关系群决策方法
DOI：
10.1016/j.cie.2017.08.027
复制
发表时间：
2017-10-01
影响因子：
7.9
通讯作者：
Xu, Zeshui
中科院分区：
文献类型：
--
作者：
Meng, Fanyong;Tang, Jie;Xu, Zeshui
Intuitionistic fuzzy preference relations (IFPRs) are important and powerful that can express the decision makers' preferred and non-preferred judgements simultaneously. To rank objects reasonably, consistency analysis is necessary. Thus, this paper defines a new multiplicative consistency concept for IFPRs that is a natural extension of the crisp case. Using the new concept, 0-1 mixed programming models are constructed to judge the consistency of IFPRs and to determine missing values in incomplete IFPRs. Considering the inconsistent case, an approach to deriving multiplicative consistent IFPRs is presented. To address group decision making with IFPRs, a consensus index is proposed to measure the agreement degree between individual IFPRs. Then, an approach to group decision making with IFPRs is presented that can address the inconsistent and incomplete IFPRs. Finally, two practical examples are provided to show the efficiency and feasibility of the new theoretical results, and a comparison analysis is performed. (C) 2017 Published by Elsevier Ltd.
