摘要
介绍了模糊相似关系和模糊等价关系的有关性质,根据这些性质建立了在模糊等价关系基础上的λ-等价类,并在λ-等价类基础上建立了λ-粗集;给出了λ-等价类分解和λ-粗集分解的定义,最后给出了λ-等价类和λ-粗集的一般性质,可知λ-粗集是Z.Pawlak粗集的推广得出了等价类和粗集在模糊等价关系基础上的分解结构——分解链。
Firstly this paper presents some properties of fuzzy similarity relation and fuzzy equivalence relation. Secondly λ-equivalence classes are founded based on the fuzzy equivalence relation according to its properties and ,λ-rough sets are founded based on the ,λ-equivalence classes. ,λ-rough sets is a general case of Z. Pawlakrough sets. The general properties of the ,λ-equivalence classes and ,λ-rough sets are presented. The decomposition of λ-equiralence class and the decomposition of λ- rough sets are defined. Lastly the decomposition chain of rough sets is given.
出处
《系统工程与电子技术》
EI
CSCD
北大核心
2007年第4期626-628,共3页
Systems Engineering and Electronics
基金
福建省自然科学基金资助课题(JA042682006J0391)
关键词
粗集理论
模糊等价关系
分解链
rough sets
fuzzy equivalence relatiom decomposition chain
