λ-粗模糊集的分解  

The Decomposition of Rough Fuzzy Sets Based on Fuzzy Equivalence

作　　者：徐晓静[1] 裴海峰[1] 史开泉[1] 

机构地区：[1]山东大学数学与系统科学学院,山东济南250100

出　　处：《模糊系统与数学》2006年第5期107-111,共5页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金资助项目(60364001);福建省教育厅基金资助项目(JA04268)

摘　　要：在模糊等价关系的基础上建立了λ-等价类和给出了λ-粗集的一般形式,根据等价关系R~强λ-截集的定义给出了强λ-等价类的定义和λ-强粗集的形式;然后根据模糊集与普通集合的分解定理,给出λ-粗模糊集的分解定理的几种形式;最后由λ-粗模糊集的分解定理可以求出R^-粗模糊集,并给出了R^-粗模糊集的几种表示形式。λ-equivalence classes is founded based on fuzzy equivalence relation, and the general form λ-rough sets is given. The definition of strong λ-equivalence classes and the form of strong λ-rough sets are advanced based on the definition of strong λ-cut of fuzzy equivalence relation. According to the decomposition theorem of fuzzy sets, the decomposition theorem of λ-rough fuzzy sets is given. Lastly R-rough sets is definition by the decomposition theorem of λ-rough fuzzy sets, and several forms are presented.

关 键 词：λ--粗集 强λ-粗集 R-粗集 分解 

分 类 号：O159[理学—数学]