覆盖近似空间中的核及其性质  

Core in Covering Approximation Space and Its Properties

作　　者：周俊丽 管延勇[1] 徐法升[1] 王洪凯[1] ZHOU Jun-li;GUAN Yan-yong;XU Fa-sheng;WANG Hong-kai(School of Mathematical Sciences,University of Jinan,Jinan 250022,China)

机构地区：[1]济南大学数学科学学院,济南250022

出　　处：《计算机科学》2020年第S01期526-529,共4页Computer Science

基　　金：国家自然科学基金资助项目(11671171);山东省自然科学基金资助项目(ZR2019BA005)。

摘　　要：文中在覆盖近似空间中,提出核的概念,研究核的存在性与唯一性以及覆盖块、邻域和核之间的关系;基于核和约简,提出协调覆盖的概念,揭示约简、核和协调覆盖之间的关联;最后,给出覆盖产生的邻域族等于覆盖本身的充要条件。A new concept of core in the covering approximation space is proposed,and the existence and uniqueness of the core and the relationships between covering blocks,neighborhood and the core are studied.Based on the core and reduction,the concept of consistent covering is proposed,and the relationships between the reduction,the core and the consistent covering were revealed.Finally,the necessary and sufficient condition for neighborhood family derived from the covering to be equal to the cove-ring itself is given.

关 键 词：粗糙集 覆盖 邻域 核 约简 协调覆盖 

分 类 号：TP18[自动化与计算机技术—控制理论与控制工程]