关键词: 粗糙集, 模糊粗糙集, 模糊关系, 贴近度, 依赖度

Abstract: The attribute importance measure and attribute reduction is one of the core content of rough sets theory. The classical rough set model based on equivalence relation, is suitable for dealing with discrete attribute values. Fuzzy-rough set theory, combining fuzzy set and rough set theory, extending equivalence relation to fuzzy relation, can deal with fuzzy attribute values. By analyzing three problems of FRAR which is a fuzzy decision table attribute reduction algorithm having extensive use, this paper proposes a new reduction algorithm which has better overcome the problem, can handle larger fuzzy decision table.

Key words: rough sets, fuzzy-rough set, fuzzy relation, similarity degree, dependency degree