关键词: 粗糙集, 多粒度, 双论域, 测度

Abstract: The research of multi-granulation rough set is an important theory in recent years. In this paper, the multi-granulation and two universes are combined. Firstly, the support functions in different universes are defined；secondly, the general multi-granulation rough set approximation operators in different universes are constructed by support functions, and the properties of the approximation operators are studied. What’s more, the roughness and precision are discussed. Finally, an example about course selection in college students illustrates the feasibility and efficiency of this model.

Key words: rough set, multi-granulation, two universes, measure