Probability rough sets model between different universes and its applications

In present paper, the measure of probability is introduced to the non-empty finite universe, and the probability rough sets model between different universes is defined. Furthermore, some basic properties of it are built. Additionally, the relationships between the probability rough sets model that is defined in this paper and the other rough set model is investigated, too. The result shows that the probability rough sets model between different universes included the others basic rough sets models on two universes. Therefore, the fields of the applications of rough sets are extended. Finally, a test example is given, and the background of this research in this paper is elaborated.