摘要
讨论基于覆盖理论的模糊粗糙集模型。给出了模糊集的粗糙上、下近似算子,讨论了算子的基本性质,证明了覆盖粗糙集模型下所有模糊集的下近似构成一个模糊拓扑,并得到了覆盖模糊粗糙集模型的公理化描述。
This paper is devoted to the study of the covering fuzzy rough set model. The upper and lower approximation operators are defined with their basic properties being discussed. It is proved that the set of all lower approximation of fuzzy sets consists of a fuzzy topology. Also, the axiomatic description of covering fuzzy rough set model is given.
出处
《模糊系统与数学》
CSCD
北大核心
2006年第3期141-144,共4页
Fuzzy Systems and Mathematics
关键词
模糊粗糙集
覆盖
近似算子
Fuzzy Rough Set
Cover
Approximation Operator
