Multi-Granulation Rough Sets Based On Central Sets

Exploring rough sets from the viewpoint of multi-granulation has become one of the promising topics in rough set theory, in which lower or upper approximations are approximated by multiple binary relations. The purpose of this paper is to develop two new kinds of multi-granulation rough set models by using concept of central sets in a given approximation space. Firstly, the concepts of the two new models are proposed. Then some important properties and the relationship of the models are disclosed. Finally, several uncertainty measures of the models are also proposed. These results will enrich the theory and application of multi-granulation rough sets.