A common attribute reduction form for information systems

作者：

Highlights：

• Propose the concept of the exact reduction and its invariant matrix.

• Study the common form of attribute reduction based on discernibility matrices.

• Show that the frequently-used reductions are exact.

• Obtain the invariant matrices of frequently-used reductions.

摘要

•Propose the concept of the exact reduction and its invariant matrix.•Study the common form of attribute reduction based on discernibility matrices.•Show that the frequently-used reductions are exact.•Obtain the invariant matrices of frequently-used reductions.

论文关键词：Exact reduction,Invariant matrix,Equivalence relation,Information system,Rough set,Discernibility matrix

论文评审过程：Received 17 June 2019, Revised 27 December 2019, Accepted 29 December 2019, Available online 2 January 2020, Version of Record 7 March 2020.

论文官网地址：https://doi.org/10.1016/j.knosys.2019.105466