区间值对偶犹豫模糊β覆盖粗糙集模型  

Study on Interval-valued Dual Hesitant FuzzyβCovering Rough Set Model

作　　者：任浩伟 王青海[1,2] REN Haowei;WANG Qinghai(School of Computer Science,Qinghai Normal University,Xining 810008,China;Plateau and Sustainable Development Institute,Xining 810008,China)

机构地区：[1]青海师范大学计算机学院,西宁810008 [2]高原科学与可持续发展研究院,西宁810008

出　　处：《哈尔滨理工大学学报》2024年第4期132-146,共15页Journal of Harbin University of Science and Technology

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).

摘　　要：为有效处理区间值对偶犹豫模糊信息决策问题,结合区间值对偶犹豫模糊集和β覆盖粗糙集提出四种区间值对偶犹豫模糊β覆盖粗糙集模型对该问题进行研究。首先,从区间值对偶犹豫模糊β覆盖诱导出两种邻域系统,定义了四种不同的区间值对偶犹豫模糊β覆盖粗糙集;其次,研究了每种区间值对偶犹豫模糊β覆盖粗糙集的相关数学性质,建立了四种区间值对偶犹豫模糊β覆盖粗糙集之间及其与其它相关模型之间的关系;最后,基于该模型设计了多属性决策算法,通过实例应用有效验证了区间值对偶犹豫模糊β覆盖粗糙集在解决实际问题中的适用性。To effectively handle the problem of decision-making with interval-valued hesitant fuzzy information,this paper proposes four models of interval-valued dual hesitant fuzzyβcoverage rough sets,which are combined with interval-valued dual hesitant fuzzy set andβcovering rough set.Firstly,two types of neighborhood systems are induced from interval-valued dual hesitant fuzzyβcoverings,and four different models of interval-valued dual hesitant fuzzyβcoverings rough sets are defined.Secondly,the mathematical properties of each model of interval-valued dual hesitant fuzzyβcoverings rough sets are studied,and the relationships between the four models of interval-valued dual hesitant fuzzyβcoverings 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 fuzzyβcoverings 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 

分 类 号：TP18[自动化与计算机技术—控制理论与控制工程] O159[自动化与计算机技术—控制科学与工程]