Special types of coverings and axiomatization of rough sets based on partial orders

作者：

Highlights：

• Give conditions for neighborhoods in a covering form a reduction of the covering.

• Give conditions for covering lower and upper approximations are dual to each other.

• Axiomatize lower and upper rough approximations based on partial orders.

摘要

•Give conditions for neighborhoods in a covering form a reduction of the covering.•Give conditions for covering lower and upper approximations are dual to each other.•Axiomatize lower and upper rough approximations based on partial orders.

论文关键词：Covering rough sets,Left and right relative sets,Lower and upper approximations,Neighborhoods,Reduction

论文评审过程：Received 22 September 2014, Revised 14 May 2015, Accepted 15 May 2015, Available online 22 May 2015, Version of Record 16 July 2015.

论文官网地址：https://doi.org/10.1016/j.knosys.2015.05.018