Uncertainty measures of Neighborhood System-based rough sets

作者：

Highlights：

• We first study the uncertainty of rough sets in binary GrC Model (Third GrC Model).

• We first propose the rough memberships to depict rough sets.

• Construct fuzzy entropy based on rough memberships and prove its rationality.

• We first propose the rough intuitionistic memberships to depict rough sets.

• Construct intuitionistic fuzzy entropy to measure uncertainty of rough sets.

摘要

•We first study the uncertainty of rough sets in binary GrC Model (Third GrC Model).•We first propose the rough memberships to depict rough sets.•Construct fuzzy entropy based on rough memberships and prove its rationality.•We first propose the rough intuitionistic memberships to depict rough sets.•Construct intuitionistic fuzzy entropy to measure uncertainty of rough sets.

论文关键词：Neighborhood System (NS),Neighborhood System-based (NS-based),Rough membership function,Rough intuitionistic membership function,Rough fuzzy entropy,Rough intuitionistic fuzzy entropy

论文评审过程：Received 26 November 2014, Revised 18 May 2015, Accepted 22 May 2015, Available online 29 May 2015, Version of Record 31 July 2015.

论文官网地址：https://doi.org/10.1016/j.knosys.2015.05.021