文献类型：期刊文献

英文题名：A hesitant fuzzy multiple-attribute decision-making method considering rank relation

作者：Xiao, Huimin[1];Yang, Peng[1];Ma, Xifeng[1];Wei, Meng[1]

第一作者：肖会敏

通讯作者：Yang, P[1]

机构：[1]Henan Univ Econ & Law, Sch Comp & Informat Engn, Zhengzhou, Henan, Peoples R China

第一机构：河南财经政法大学计算机与信息工程学院

通讯机构：[1]corresponding author), Henan Univ Econ & Law, Sch Comp & Informat Engn, Zhengzhou, Henan, Peoples R China.|[1048412]河南财经政法大学计算机与信息工程学院;[10484]河南财经政法大学;

年份：2023

卷号：45

期号：2

起止页码：3109-3121

外文期刊名：JOURNAL OF INTELLIGENT & FUZZY SYSTEMS

收录：;EI(收录号：20233314546890);Scopus(收录号：2-s2.0-85167615901);WOS:【SCI-EXPANDED(收录号:WOS:001045474700083)】；

语种：英文

外文关键词：Hesitant fuzzy set; hesitant fuzzy decision matrix; rank; attribute reduction

摘要：A decision matrix is typically used to express hesitant information when solving multi-attribute decision problems in an uncertain environment. To further investigate the decision problem, this paper takes the property of matrix rank as the starting point, introduces it into the hesitant fuzzy theory, presents the concept of the rank of the hesitant fuzzy decision matrix and discusses the related properties, and then studies the hesitant fuzzy linear relation, obtaining the attribute reduction method based on the hesitant fuzzy linear relation and applying it to the multi-attribute decision making. It adds to the theoretical understanding of the hesitant fuzzy decision matrix. The aggregation operator first transforms the hesitant fuzzy information into a comprehensive decision matrix, and the row echelon transformation determines the rank of the matrix. Second, the hesitant fuzzy linear relationship is obtained using the rank property. A new hesitant fuzzy matrix is obtained after attribute reduction based on the hesitant fuzzy linear relationship, and the alternatives are sorted using the TOPSIS method. Finally, the effectiveness and superiority of the proposed method are demonstrated through a comparison of actual case analysis and existing methods, and the expected research purpose is met.