摘要
本文用构造方法与公理化方法研究了一般模湖关系下的模糊粗糙集系统.通过模糊关系定义了近似算子,又由公理化的近似算子导出了相应的模糊关系.给出了满足不同公理的近似算子与其相应的模糊关系之间的等价刻画.
In this paper, the constructive and axiomatic approaches in the study of fuzzy rough sets are discussed. In the constructive methods , a pair of lower and upper approximation operators are defined using a fuzzy binary relation. Different classes of fuzzy rough set algebras are obtained from different types of fuzzy relations. In the axiomatic approaches, a pair of dual generalized approximation operators and state axioms that must be satisfied by the operators are defined. The axioms guarantee the existence of certain types of relations that produce the same operators.
出处
《模式识别与人工智能》
EI
CSCD
北大核心
2002年第3期280-284,共5页
Pattern Recognition and Artificial Intelligence