摘要
根据模糊粗糙集(FR集)中上下近似都是模糊集合的构造性质,利用模糊集不同截集定义和分解定理,给出了模糊粗糙集(FR集)截集定义和相应的分解定理,并证明了模糊粗糙集(FR集)集的分解定理,分解定理揭示了模糊粗糙集和普通集之间的关系,在理论和应用中发挥着重要的作用。
Based on the structural property of Fuzzy Rough Sets which a pair of lower and upper approximations are Fuzzy sets, and the different concepts of cut sets and decomposition theorems of Fuzzy sets are used to define the concepts of cut sets of Fuzzy Rough Sets and relevant decomposition theorems of Fuzzy Rough sets. Through the different decomposition theorems of Fuzzy sets, the different decomposition theorems of Fuzzy Rough Sets are proved. The relationship between Fuzzy Rough sets and normal sets is well explained by the decomposition theorem of Fuzzy Rough Sets. The decomposition theorem presented in this paper is very import and well applied both in theory and practice .
出处
《电子科技大学学报》
EI
CAS
CSCD
北大核心
2001年第6期647-650,共4页
Journal of University of Electronic Science and Technology of China
基金
国家自然科学基金资助项目编号:69803007
关键词
模糊集
粗糙集
模糊粗糙集
分解定理
fuzzy sets
rough sets
fuzzy rough sets
decomposition theorem
