关键词: 粗糙集 粗糙度 模糊粗糙集 下近似 上近似 模糊关系 粗糙集理论 粗集 模糊集理论 包容

Abstract: In this paper, the orughness measures of rough sets is studied. Firstly, the roughness mesures of Pawlak rough sets is analysized in detail,and a inclusion-exclusion principle on rough sets is obtained. We also extend these results to fuzzy rough sets,whi

Key words: Rough sets, Roughness measures, Fuzzy rough sets, Lower approximation, Upper approximation