哈尔滨理工大学学报2024,Vol.29Issue(4) :132-146.DOI:10.15938/j.jhust.2024.04.015

区间值对偶犹豫模糊β覆盖粗糙集模型

Study on Interval-valued Dual Hesitant Fuzzy β Covering Rough Set Model

任浩伟 王青海
哈尔滨理工大学学报2024,Vol.29Issue(4) :132-146.DOI:10.15938/j.jhust.2024.04.015

区间值对偶犹豫模糊β覆盖粗糙集模型

Study on Interval-valued Dual Hesitant Fuzzy β Covering Rough Set Model

任浩伟 1王青海1
扫码查看

作者信息

  • 1. 青海师范大学 计算机学院,西宁 810008;高原科学与可持续发展研究院,西宁 810008
  • 折叠

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.

Abstract

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

引用本文复制引用

出版年

2024
哈尔滨理工大学学报
哈尔滨理工大学

哈尔滨理工大学学报

CSTPCD北大核心
影响因子:0.508
ISSN:1007-2683
段落导航相关论文