关键词: 多粒度粗糙集, 广义多粒度粗糙集, 属性约简, Matlab计算

Abstract: Attribute reductions based on generalized multi-granulation rough set are defined. Some basic properties are studied. Computation by matlab is carried out and an example is implemented. The contents include sharp consistence, soft inconsistence, granularly consistence, granularly inconsistence of a complete target information system. The reductions, granularly reductions, （lower/upper approximation） distribution consistent reductions, （lower/upper approximation） quality consistent reductions are defined and some theorems are approached. All reductions on the basis of generalized multi-granulation rough set are appropriate for optimistic and pessimistic multi-granulation rough sets. The results of the study can improve the multi-granularity rough set theory. It can also lay the foundation for theoretical research and applications.

Key words: multi-granulation rough set, generalized multi-granulation rough set, attribute reduction, Matlab computation