T-粗糙集与拓扑  

T-rough set and topology

作　　者：林英茹 李长清 LIN Yingru;LI Changqing(School of Mathematics and Statistics,Minnan Normal University,Zhangzhou,Fujian 363000,China)

机构地区：[1]闽南师范大学数学与统计学院,福建漳州363000

出　　处：《闽南师范大学学报（自然科学版）》2023年第3期14-21,共8页Journal of Minnan Normal University：Natural Science

基　　金：国家自然科学基金(11871259,12271191);福建省自然科学基金(2020J01801,2020J02043,2022J01912,2022J01306,2022J05169)。

摘　　要：引入集值连续映射的概念,利用T-粗糙集的上逆和下逆定义,研究集值连续映射的一些性质,并将这些性质部分推广至T-粗糙模糊集.The paper introduces the concept of set-valued continuous mapping,makes a study of some properties of set-valued continuous mapping by means of the definitions of upper and lower inverses of T-rough sets,and extends some of these properties to T-rough fuzzy sets.

关 键 词：T-粗糙集 集值连续映射 拓扑 T-粗糙模糊集 

分 类 号：O189.1[理学—数学]