考虑权重信息未知的区间直觉模糊三支群决策方法  

Interval-valued Intuitionistic Fuzzy Three-Way Group Decisions Considering The Unknown Weight Information

作　　者：刘久兵 彭莉莎 李华雄[2] 黄兵 周献中[2] LIU Jiu-bing;PENG Li-sha;LI Hua-xiong;HUANG Bing;ZHOU Xian-zhong(Business School,Shantou University,Shantou 515063,China;School of Management and Engineering,Nanjing University,Nanjing 210093,China;School of Information Engineering,Nanjing Audit University,Nanjing 211815,China)

机构地区：[1]汕头大学商学院,广东汕头515063 [2]南京大学工程管理学院,江苏南京210093 [3]南京审计大学信息工程学院,江苏南京211815

出　　处：《运筹与管理》2022年第7期50-57,共8页Operations Research and Management Science

基　　金：国家自然科学基金资助项目(62106135,71671086,61876079);广东省基础与应用基础研究项目(2020A1515110434);广东省哲学社会科学“十三五”规划青年项目(GD20YGL13);广东省普通高校青年创新人才项目(2019WQNCX027);汕头大学科研启动经费项目(STF19025);江苏省高校自然科学研究重大项目(20KJA520006)。

摘　　要：本文提出优化视角下专家权重信息未知的区间直觉模糊三支群决策方法。首先利用区间直觉模糊加权平均算子集结不同专家提供的区间直觉模糊损失评价,获得群体综合损失评价结果。以专家个体与群体综合评价相似度越高,越能反映群体综合评价意见且赋予高的专家权重为原则,分别构建专家权重信息完全未知和部分已知的权重确定模型。进而建立确定区间直觉模糊三支决策概率阈值对的优化模型,并提出基于专家权重信息未知的区间直觉模糊三支群决策方法。最后,算例分析及比较结果表明所提出方法的有效性。This paper proposes an approach to interval-valued intuitionistic fuzzy three-way group decisions(IVIF3WGDs)under unknown weights of experts from an optimization perspective.We firstut ilize an interval-valued intuitionistic fuzzy linear weight average(IVIFLWA)operator to aggregate interval-valued intuitionistic fuzzy loss evaluations provided by multiple experts,which leads to collective loss evaluation results on an expert group.According to this principle,a larger similarity of expert individual to group better reflects a collective opinion of the group,and we should assign a higher weight of the individual expert.Corresponding mathematical models for determining the weights are further established in two cases of completely and partly unknown weight information.We further construct a pair of optimization models to determine the thresholds in IVIF3WGDs,and develop an IVIF3WGD approach based on unknown weights of experts.Finally,an illustrative example and its comparisons show the effectiveness of the proposed method.

关 键 词：区间直觉模糊集 集结算子 优化模型 三支群决策 

分 类 号：C934[经济管理—管理学]