变精度粗糙集  

VARIABLE PRECISION ROUGH SETS

作　　者：张贤勇[1] 莫智文[1] 

机构地区：[1]四川师范大学基础部,成都610066

出　　处：《模式识别与人工智能》2004年第2期151-155,共5页Pattern Recognition and Artificial Intelligence

基　　金：国家自然科学基金(No.69803007);四川省青年科学基金

摘　　要：本文定义了变精度粗糙集,从精度的取值情况分类讨论了其基本结构.对比一般粗糙集性质,研究了变精度粗糙集三个方面的性质:集合与其变精度近似集的关系、变精度近似算子的幂作用、变精度边界算子对粗糙集性质的修正.得出了若干具有理论和应用价值的结果,并从算子论和集合论的角度丰富了粗糙集理论。In this paper, variable precision rough sets are defined, and their basic constructions are discussed from the cases of precision. In contrast to the properties of rough sets, three properties of variable precision sets are studied, which are the connection between sets and their variable precision approximations, the power action of variable precision approximation operators, the improvement of boundary operators of variable precision approximations on the properties of rough sets. Some important conclusions in theory and application are achieved, and the rough set theory has been enriched from the operator-oriented and set-oriented views.

关 键 词：粗糙集 变精度粗糙集 评价函数 变精度近似算子 边界算子 

分 类 号：TP18[自动化与计算机技术—控制理论与控制工程]