Group Decision-Making Method with Incomplete Intuitionistic Fuzzy Preference Relations Based on a Generalized Multiplicative Consistent Concept  

作　　者：Xiaoyun Lu Jiuying Dong Hecheng Li Shuping Wan 

机构地区：[1]School of Computer Science,Qinghai Normal University,Xining,810008,China [2]School of Science,Shanghai Institute of Technology,Shanghai,201418,China [3]School of Statistics,Jiangxi University of Finance and Economics,Nanchang,330013,China [4]School of Information Technology,Jiangxi University of Finance and Economics,Nanchang,330013,China

出　　处：《Computer Modeling in Engineering & Sciences》2022年第9期881-907,共27页工程与科学中的计算机建模（英文）

基　　金：supported by the National Natural Science Foundation of China(Nos.71740021,11861034,and 61966030);the Humanities Social Science Programming Project of Ministry of Education of China(No.20YJA630059);the Natural Science Foundation of Jiangxi Province of China(No.20192BAB207012);the Natural Science Foundation of Qinghai Province of China(No.2019-ZJ-7086).

摘　　要：Based on the analyses of existing preference group decision-making(PGDM)methods with intuitionistic fuzzy preference relations(IFPRs),we present a new PGDM framework with incomplete IFPRs.A generalized multiplicative consistent for IFPRs is defined,and a mathematical programming model is constructed to supplement the missing values in incomplete IFPRs.Moreover,in this study,another mathematical programming model is constructed to improve the consistency level of unacceptably multiplicative consistent IFPRs.For group decisionmaking(GDM)with incomplete IFPRs,three reliable sources influencing the weights of experts are identified.Subsequently,a method for determining the weights of experts is developed by simultaneously considering three reliable sources.Furthermore,a targeted consensus process(CPR)is developed in this study with reference to the actual situation of the consensus level of each IFPR.Meanwhile,in response to the proposed multiplicative consistency definition,a novel method for determining the optimal priority weights of alternatives is redefined.Lastly,based on the above theory,a novel GDM method with incomplete IFPRs is developed,and the comparative and sensitivity analysis results demonstrate the utility and superiority of this work.

关 键 词：Intuitionistic fuzzy preference relations multiplicative consistency CONSENSUS optimization model group decision-making 

分 类 号：R71[医药卫生—妇产科学]