关键词: 优势关系, 多粒度粗糙集, 排序方法

Abstract: Ranking method is an important part of multi-granulation rough set. The advantages and disadvantages of the currently existing ranking method of multi-granularity rough set in dominance relation are analyzed. The existing sorting formula is improved to make that the structure of the advantage matrix satisfies the complementary symmetry and overcomes the problem of failure effectively. At the same time, a new method on account of the relative dominance degree is proposed for multi-granularity rough set based on dominance relation. The weighted ranking formula of multi-granularity rough set based on dominance relation has been defined, with the importance of different granularity considered. The paper even discusses the meaning and nature of the formula. Finally, the experimental results show the feasibility and effectiveness of the two methods.

Key words: dominance relation, multi-granularity rough set, ranking method