Axiomatization and conditions for neighborhoods in a covering to form a partition

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• 作者：Ziqiu Yun^a ; ^{yunziqiu@public1.sz.js.cn} ; Xun Ge^b ; ^{zhugexun@163.com} ; Xiaole Bai^c ; ^{xbai@umassd.edu}
• 关键词：Covering-based rough set ; Covering lower (upper) approximation ; Point-set topology ; Neighborhood
• 刊名：Information Sciences
• 出版年：2011
• 出版时间：1 May 2011
• 年：2011
• 卷：181
• 期：9
• 页码：1735-1740
• 全文大小：194 K

文摘

In this paper, we study the axiomatic issue of a type of covering upper approximation operations. This issue was proposed as an open problem. We also further some known results by using only a single covering approximation operator to characterize the conditions for neighborhood {N(x): x  U} to form a partition of universe U.