The main aim of this paper is to present a consistency model for interval multiplicative preference relation (IMPR). To measure the consistency level for IMPR, a referenced consistent IMPR of a given IMPR is defined, which has the minimum logarithmic distance from the given IMPR. Based on the referenced consistent IMPR, the consistency level of an IMPR can be measured and an IMPR with unacceptable consistency can be adjusted by a proposed algorithm such that the revised IMPR is of acceptable consistency. A consistency model for group decision making (GDM) problems with IMPRs is proposed to obtain the collective IMPR with highest consistency level. Numerical examples are provided to illustrate the validity of the proposed approaches in decision making. (C) 2015 Elsevier B.V. All rights reserved.
机构:
PLA Univ Sci & Technol, Inst Sci, Nanjing 210007, Jiangsu, Peoples R China
Chinese Univ Hong Kong, Dept Syst Engn & Engn Management, Shatin, Hong Kong, Peoples R ChinaPLA Univ Sci & Technol, Inst Sci, Nanjing 210007, Jiangsu, Peoples R China
Xu, Zeshui
Cai, Xiaoqiang
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Chinese Univ Hong Kong, Dept Syst Engn & Engn Management, Shatin, Hong Kong, Peoples R ChinaPLA Univ Sci & Technol, Inst Sci, Nanjing 210007, Jiangsu, Peoples R China
机构:
Sichuan Univ, Uncertainty Decis Making Lab, Chengdu 610064, Peoples R ChinaSichuan Univ, Uncertainty Decis Making Lab, Chengdu 610064, Peoples R China
Wu, Zhibin
Xu, Jiuping
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Sichuan Univ, Uncertainty Decis Making Lab, Chengdu 610064, Peoples R ChinaSichuan Univ, Uncertainty Decis Making Lab, Chengdu 610064, Peoples R China
机构:
S China Univ Technol, Sch Business Adm, Guangzhou 510641, Guangdong, Peoples R China
Guangxi Univ, Sch Math & Informat Sci, Nanning 530004, Guangxi, Peoples R ChinaS China Univ Technol, Sch Business Adm, Guangzhou 510641, Guangdong, Peoples R China
Liu, Fang
Zhang, Wei-Guo
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S China Univ Technol, Sch Business Adm, Guangzhou 510641, Guangdong, Peoples R ChinaS China Univ Technol, Sch Business Adm, Guangzhou 510641, Guangdong, Peoples R China
Zhang, Wei-Guo
Wang, Zhong-Xing
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Guangxi Univ, Sch Math & Informat Sci, Nanning 530004, Guangxi, Peoples R ChinaS China Univ Technol, Sch Business Adm, Guangzhou 510641, Guangdong, Peoples R China