中文摘要：

关于粗糙集代数系统的理论是Pawlak粗糙集理论的重要组成部分。之后模糊粗糙集代数也得到了定义和讨论。此外，覆盖粗糙集是Pawlak粗糙集一个非常重要的推广。于是我们在本文研究了基于覆盖的模糊粗糙集代数的相关性质。引入了具有最小（大）元的覆盖的概念，进而讨论了具有最小（大）元覆盖的情形下模糊粗糙集代数的相关性质，得到了许多很好地结果。

英文摘要：

The theory of rough set algebra is one of the most important consents of rough set theory. Moreover,the fuzzy rough set algebra has been proposed and been discussed. In addition, covering rough sets is one of the most important extensions of rough sets. Firstly,the properties of covering- based fuzzy rough set algebra were discussed. More-over, the concepts of covering with minimum （maximum） element were proposed. Furthermore, the properties of covering-based fuzzy rough set algebra with minimum （maximum） element were studied and many excellent results were obtained.