A method of ascertaining fuzzy covering based on a family of fuzzy concepts

Aiming at the covering of the rough set attribute reduction and on the foundation of rough set model proposed by Zakowski, this paper builds a fuzzy similarity relation by using some properties of fuzzy sets. Moreover, we discuss the method of ascertaining fuzzy covering based on a family of fuzzy concepts, and propose the concept of fuzzy covering. The impact of precision change on coverings ascertained by fuzzy sets is analyzed. These results provide a foundation for the application of covering based rough set models to fuzzy attributes.