关键词: 不完备信息, 多属性决策系统, 限制优势关系, 加权多粒度粗糙集

Abstract: As an extension of the multi-granularity rough set, a rough analysis model of weighted multi-granularity based on limited dominance relation is proposed. Firstly, the limitation of the rough set based on dominance relation and multi-granularity rough set is analyzed and the limited dominance relation is introduced to improve the weighted multi-granularity rough set for high-dimensional or distributed systems with incomplete and reference attribution, making the preference relations of properties and the difference among the granularities fully considered. The rough approximations of know-ledge are acquired and the relationship with the optimistic and pessimistic model is discussed. Then, relevant theorems and properties are proved. Finally, the experimental results show the feasibility and effectiveness of the method.

Key words: incomplete information, multi-attribute decision system, limited dominance relation, weighted multi-granularity rough set