摘要
本文将β覆盖邻域系统与区间值犹豫模糊集相结合,提出了四种区间值犹豫模糊β覆盖粗糙集模型。文章首先从论域U的区间值犹豫模糊β覆盖诱导出两类新的邻域系统,构造了四种不同类型的区间值犹豫模糊β覆盖粗糙集;其次深入研究了每种区间值犹豫模糊β覆盖粗糙集的模型结构及数学特征,并建立了该类模型之间及其与其他相关模型的关联关系;最后,通过基于该模型的决策算法设计应用实例,表明区间值犹豫模糊β覆盖粗糙集在多属性决策问题中的可用性及有效性。
In this paper,four kinds of interval valued hesitant fuzzyβcovering rough set models are proposed by combiningβcovering neighborhood system with interval valued hesitant fuzzy set.Firstly,two new neighborhood systems are induced from the interval valued hesitant fuzzyβcoverage of the domain U,and four different types of interval valued hesitant fuzzyβcoverage rough sets are constructed.Secondly,the model structure and mathematical characteristics of each interval valued hesitant fuzzyβcovering rough set are studied deeply,and the relationship between these models and other related models is established.Finally,an application example of decision algorithm based on this model is designed to show the availability and effectiveness of interval valued hesitant fuzzyβcovering rough set in multi-attribute decision making problems.
作者
任浩伟
王青海
REN Hao-wei;WANG Qing-hai(The Computer College of Qinghai Normal University,Xining 810008,China;Academy of Plateau Science and Sustainability,Xining 810008,China)
出处
《模糊系统与数学》
北大核心
2023年第3期137-147,共11页
Fuzzy Systems and Mathematics
基金
青海省物联网重点实验室项目(2020-ZJ-Y16)
国家重点研发项目(2020YFC1523305)
关键词
区间值犹豫模糊β覆盖
邻域系统
β覆盖粗糙集
多属性决策
Interval Valued Hesitant Fuzzy β Coverage
Neighborhood System
βCovering Rough Set
Multiple Attribute Decision Making
