引用本文:吕金辉,郭嗣琮,郭芳芳.犹豫模糊信息相似性测度与群一致性测度及群决策应用[J].控制与决策,2020,35(8):1987-1996
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犹豫模糊信息相似性测度与群一致性测度及群决策应用
吕金辉1, 郭嗣琮1, 郭芳芳2
(1. 辽宁工程技术大学智能工程与数学研究院,辽宁阜新123000;2. 淮南师范学院经管学院,安徽淮南232038)
摘要:
针对目前关于犹豫模糊运算与测度的研究中存在的不足,首先给出犹豫模糊熵函数的定义,并将其作为犹豫模糊信息不确定性测度,进而提出犹豫模糊信息特征向量概念,以信息特征向量为出发点对犹豫模糊距离测度和相似性测度展开研究;为优化群决策过程,提出基于完全优先关系的群一致性测度概念并研究其性质;最后,提出基于相似性测度和群一致性测度的群决策方法并结合算例验证所提出方法的有效性.
关键词:  犹豫模糊熵函数  信息特征向量  相似性测度  群一致性测度  排序妥协解
DOI:10.13195/j.kzyjc.2018.1511
分类号:C934
基金项目:国家自然科学基金项目(61350003);中国科学院重点咨询项目(2017-ZZ-23).
Similarity measure of hesitant fuzzy sets and group consensus measure and its application in group decision-making
LYU Jin-hui1,GUO Si-cong1,GUO Fang-fang2
(1. Institute of Intelligence Engineering and Mathematics,Liaoning Technical University,Fuxin 123000,China;2. School of Economics and Management,Huainan Normal University,Huainan 232038,China)
Abstract:
In view of the shortcomings in the current research on hesitant fuzzy operations and measures, the hesitant fuzzy entropy function is defined firstly, which is a measure of the degree of uncertainty of hesitant fuzzy information. Then, the concept of hesitant fuzzy information characteristic vector is proposed. The hesitant fuzzy distance measure and similarity measure are studied based on the information characteristic vector. In order to optimize the group decision process, the concept of group consensus measure based on complete priority relation is proposed and its properties are studied. Finally, the hesitant fuzzy group decision-making method based on similarity measure and group consensus measure is given, and the effectiveness of the proposed method is verified by a numerical example.
Key words:  hesitant fuzzy entropy function  information characteristic vector  similarity measure  group consensus measure  sorting compromise solution

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