摘要
粗糙集的不确定性度量是粗糙集理论中的关键问题之一。粗糙隶属函数为粗糙集提供了新的解释,并为粗糙集的不确定性度量提供了方法。Tsang对覆盖近似空间中的近似算子进行了研究,提出了一种较已有模型更合理的覆盖粗糙集模型。但是,该覆盖粗糙集的不确定性度量却没有被研究。针对第三类覆盖粗糙集模型,定义了第三类覆盖粗糙集的粗糙隶属函数,并据此定义了第三类覆盖粗糙集的模糊度。
The uncertainty measure for rough sets is one of the key problems in rough set theory. Rough membership function provides a new interpretation and a new uncertainty measure for rough sets. Tsang has made a reseach on the approximate operator in covering approximation space, and proposed a more reasonable covering rough set model. However, the uncertainty measure of this rough set has never been studied. Focusing on the third type of covering based generalized rough sets, the rough membership function of the third type of covering based generalized rough sets was defined, and hereby its fuzziness was defined based on the proposed rough membership function.
出处
《重庆邮电大学学报（自然科学版）》
北大核心
2009年第4期490-493,共4页
Journal of Chongqing University of Posts and Telecommunications(Natural Science Edition)
基金
国家自然科学基金(60573068
60773113)
重庆市教育委员会科学技术资助项目(KJ090512)
关键词
覆盖
粗糙集
模糊度
粗糙隶属函数
不确定性
covering
rough sets
fuzziness
rough membership function
uncertainty
