To effectively handle the problem of decision-making with interval-valued hesitant fuzzy information,this paper proposes four models of interval-valued dual hesitant fuzzy β coverage rough sets,which are combined with interval-valued dual hesitant fuzzy set and β covering rough set.Firstly,two types of neighborhood systems are induced from interval-valued dual hesitant fuzzy β coverings,and four different models of interval-valued dual hesitant fuzzy β coverings rough sets are defined.Secondly,the mathematical properties of each model of interval-valued dual hesitant fuzzy β coverings rough sets are studied,and the relationships between the four models of interval-valued dual hesitant fuzzy β coverings rough sets and other relevant models are established.Finally,a multi-attribute decision-making algorithm is designed based on these models,and the applicability of interval-valued dual hesitant fuzzy β coverings rough sets in solving practical problems is effectively validated through practical examples.
关键词
区间值对偶犹豫模糊集/邻域系统/β覆盖粗糙集/多属性决策
Key words
interval value dual hesitant fuzzy sets/neighborhood system/β coverage rough sets/multi-attribute decision making