Partial reduction algorithms for fuzzy relation systems

作者：

Highlights：

• Study the X-lower approximation reduction for fuzzy relation systems.

• Consider the X-upper approximation reduction for fuzzy relation systems.

• Discuss the (X1, X2 ,..., Xk )-lower approximation reduction algorithms.

• Provide examples from UCI datasets to verify our results.

摘要

•Study the X-lower approximation reduction for fuzzy relation systems.•Consider the X-upper approximation reduction for fuzzy relation systems.•Discuss the (X1, X2 ,..., Xk )-lower approximation reduction algorithms.•Provide examples from UCI datasets to verify our results.

论文关键词：Discernibility matrix,Fuzzy relation,Fuzzy relation system,Reduction algorithm,Rough set

论文评审过程：Received 6 September 2018, Revised 9 September 2019, Accepted 17 September 2019, Available online 21 September 2019, Version of Record 20 January 2020.

论文官网地址：https://doi.org/10.1016/j.knosys.2019.105047