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 

作者机构：School of Computer ScienceQinghai Normal UniversityXining810008China School of ScienceShanghai Institute of TechnologyShanghai201418China School of StatisticsJiangxi University of Finance and EconomicsNanchang330013China School of Information TechnologyJiangxi University of Finance and EconomicsNanchang330013China 

出 版 物：《Computer Modeling in Engineering & Sciences》 (工程与科学中的计算机建模（英文）)

年 卷 期：2022年第132卷第9期

页      面：881-907页

核心收录：

学科分类：1002[医学-临床医学] 100211[医学-妇产科学] 10[医学] 

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) 

主　　题：Intuitionistic fuzzy preference relations multiplicative consistency consensus optimization model group decision-making 

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 ***,in this study,another mathematical programming model is constructed to improve the consistency level of unacceptably multiplicative consistent *** group decisionmaking(GDM)with incomplete IFPRs,three reliable sources influencing the weights of experts are ***,a method for determining the weights of experts is developed by simultaneously considering three reliable ***,a targeted consensus process(CPR)is developed in this study with reference to the actual situation of the consensus level of each ***,in response to the proposed multiplicative consistency definition,a novel method for determining the optimal priority weights of alternatives is ***,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.