区间值直觉模糊β覆盖粗糙集模型  

Interval valued intuitionsitic fuzzy β covering roughset model

作　　者：任浩伟 王青海[1] 张巧珍 REN Hao-wei;WANG Qing-hai;ZHANG Qiao-zhen(School of Computer Science,Plateau Science and Sustainable Development Institute,Qinghai Normal University,Xining 810008,China;Xining Urban Vocation&Technical College,Xining 810016,China)

机构地区：[1]青海师范大学计算机学院高原科学与可持续发展研究院,青海西宁810008 [2]西宁城市职业技术学院,青海西宁810016

出　　处：《陕西科技大学学报》2024年第5期214-224,共11页Journal of Shaanxi University of Science & Technology

基　　金：国家重点研发计划项目(2020YFC1523305);青海省物联网重点实验室科研计划项目(2020-ZJ-Y16)。

摘　　要：在新的β覆盖邻域系统上提出四种区间值直觉模糊β覆盖粗糙集模型,用于有效处理区间值直觉模糊信息的多属性决策问题.首先,从论域的区间值直觉模糊β覆盖出发,引入两类新的邻域系统并构造了四种不同类型的区间值直觉模糊β覆盖粗糙集,扩展了现有模型的适用范围.其次,深入研究了每种模型的数学性质,构建了所提出的四种模型之间的关联关系,为模糊β覆盖粗糙集领域的研究提供了理论基础.最后,为解决区间值直觉模糊信息的多属性决策问题,设计了决策算法并进行应用实例分析,并通过与其他决策方法的对比分析,表明了区间值直觉模糊β覆盖粗糙集在多属性决策问题中具有可行性和有效性.研究成果对于复杂模糊信息决策具有一定的参考和指导意义,并为解决多属性决策问题提供了新的思路和方法.In this paper,four kinds of interval-valued intuitionistic fuzzyβcovering rough set models are proposed on a newβcovering neighborhood system,which can be used to effectively deal with multi-attribute decision making with interval-valued intuitionistic fuzzy information.Firstly,based on the interval-valued intuitionistic fuzzyβcovering of the discourse domain,two new neighborhood systems are introduced and four different types of intuitionistic fuzzyβcovering rough sets are constructed to extend the application range of the existing model.Secondly,the mathematical properties of each model are studied deeply,and the correlation between the four models is established,which provides a theoretical basis for the study of fuzzyβcovering rough sets.Finally,in order to solve the multi-attribute decision making problem with interval-valued intuitionistic fuzzy information,a decision algorithm is designed and an application example is analyzed.By comparing with other decision making methods,the feasibility and effectiveness of interval-valued intuitionistic fuzzyβcovering rough sets are demonstrated.The research results of this paper have a certain reference and guiding significance for complex fuzzy information decision-making,and provide a new way and method for solving multi-attribute decision-making problems.

关 键 词：区间值直觉模糊集 邻域系统 β覆盖粗糙集 多属性决策 

分 类 号：TP182[自动化与计算机技术—控制理论与控制工程]