基于边界的单向S-粗集的粗糙性分析  

Analysis of roughness of one-direction singular rough sets based on boundary

作　　者：郭志林[1] 郭黎[1] 郭艳[1] 孙艳敏[1] 

机构地区：[1]商丘师范学院数学系,河南商丘476000

出　　处：《西南民族大学学报（自然科学版）》2010年第5期702-708,共7页Journal of Southwest Minzu University(Natural Science Edition)

基　　金：河南省自然科学基金项目(092102210152);河南省政府政策研究招标课题(B373);河南省教育科学"十一五"规划课题(2009-JKGHAG-0557)

摘　　要：针对S—粗集中元素的单向动态特性,首次提出了单向S—粗集内(外)边界的概念,从近似精度与相对精度两个方面讨论了单向S—粗集的粗糙性,并举例说明相对精度可满足一定的分类误差,为S—粗集近似计算提供了理论依据.Considering the one-direction dynamic characteristics of the elements in singular rough sets,the concepts of inside boundary and outside boundary are first defined.After discussing the roughness from approximate precision and relative precision,this paper prove by the following examples that the relative precision is able to satisfy a certain kind of classification error,which is basic for the approximate calculation of singular rough sets.

关 键 词：单向S—粗集 元素迁移 近似精度 相对精度 边界 粗糙度 

分 类 号：O159[理学—数学]