摘要
单向函数s-粗集对偶中的上近似与下近似均可以看作是一个R-函数等价类,他们生成的函数如果在一闭区间上连续,则在该区间存在积分,这样就得到一个积分对,称这个积分对是单向函数S-粗集对偶生成的■-粗积分.■-粗积分是普通积分的推广,而且它具有动态特性和良好的性质,为解决实际问题提供了一个方便有效的工具.
The upper approximation and the lower approximation in dual of founction one direction S-rough sets both are seen as R-founction equivalence classes which can generate two founctions. If the two generated founctions are continuous in closed interval[a,b],the pair of the integrals generated by the two founctions are called F-rough integrals based on dual of founction one deriction S-rough sets. F- rough integrals is the expansion of ordinary integral ,but it has dynamic characteristics with some good natures,and it provides a convenient and effective tool to resolve some factual probloms.
出处
《聊城大学学报（自然科学版）》
2007年第4期15-19,共5页
Journal of Liaocheng University:Natural Science Edition
基金
山东省自然科学基金资助课题(Y2007H02)
关键词
单向函数S-粗集对偶
F-粗积分
动态特性
dual of founction one direction singular rough sets, F-roug integrals, dynamic characteristics
