区间集值变精度粗糙集  

Interval-set-valued Variable Precision Rough Sets

作　　者：金承勇[1] 胡宝清 JIN Chengyong;HU Baoqing(Academy of Engineering and Technology,Yang-En University,Quanzhou,Fujian 362014,China;School of Mathematics and Statistics,Wuhan University,Wuhan,Hubei 430072,China)

机构地区：[1]仰恩大学工程技术学院,福建泉州362014 [2]武汉大学数学与统计学院,湖北武汉430072

出　　处：《闽江学院学报》2023年第5期1-9,共9页Journal of Minjiang University

基　　金：国家自然科学基金项目(11971365,11571010)。

摘　　要：分别考虑粗糙集的对象和关系是区间集,建立了两种基于区间集的变精度粗糙集。一种是对象为区间集的区间集值变精度粗糙集,另一种是关系为区间集的区间集值变精度粗糙集。分别给出了它们的定义和性质。这一工作有助于进一步研究区间集和粗糙集。Considering the objects and relations in rough sets are interval sets,two variable precision rough sets based on interval sets are established.One is the interval-set-valued variable precision rough set whose object is interval set,and the other is the interval-set-valued variable precision rough set whose relation is interval set.Their definitions and properties are given.The work is helpful for further study of interval sets and rough sets.

关 键 词：区间集 关系区间集 粗糙集 变精度粗糙集 粒计算 

分 类 号：TP181[自动化与计算机技术—控制理论与控制工程]