首先,通过分析现有多粒度粗糙集模型的不足,提出一种基于粒度加权的多粒度粗糙集模型;然后,通过比较得出加权多粒度粗糙集与乐观多粒度、悲观多粒度和可变多粒度粗糙集之间的关系,讨论加权多粒度粗糙集的性质,并分析这几种多粒度粗糙集度量之间的关系;最后,通过实例分析验证了所提出加权多粒度粗糙集模型的有效性。
By analyzing the limitations of the current multigranulation rough set(MGRS), a MGRS based on weighted granulations is presented firstly. Then the four rough sets such as MGRS based on weighted granulations, optimistic MGRS, pessimistic MGRS and variable MGRS are compared to obtain their relationships, the properties of the presented MGRS are addressed, and the measurements of these four kinds of MGRS are discussed. Finally, the results of examples show the effectiveness of the MGRS based on weighted granulations .