致粗域和致粗相关域的性质与应用研究  

Research of Applications and Properties of Inducing Rough Region and Inducing Rough Correlation Region

作　　者：李秀红[1] 

机构地区：[1]山东大学数学与系统科学学院

出　　处：《计算机工程与应用》2006年第24期49-52,共4页Computer Engineering and Applications

摘　　要：基于致粗域和致粗相关域的基本概念,研究了致粗域和致粗相关域的数学结构,给出并证明了致粗域和致粗相关域所满足的一些重要性质和定理。同时,下精确集、上精确集、精确集等几种特殊的粗糙集被重新定义,这些新定义的粗糙集提供了致粗域和致粗相关域的结构信息。最后对粗糙集中具有较大边界域的粗糙问题进行了研究,当致粗域或致粗相关域相对小时,这类粗糙问题可近似为精确问题处理,并给出了近似处理方法。Based on the basic concept of inducing rough region and inducing rough correlation region,their mathematic structures are further studied.Some important properties and theorems satisfied by them are given and proved.Meanwhile, some kinds of special rough sets,such as the lower exact set,the upper exact set,the exact set,etc,are redefined.These newly defined mugh sets provide some structural information of inducing rough region and inducing rough correlation region.Finally,rough problems with bigger boundary region in rough sets are studied.When the inducing rough region or the inducing rough correlation region is relatively smaller,the rough problem can be approximated as an exact problem and some approximate solutions to it are given.

关 键 词：粗糙集 边界域 致粗域致粗相关域 近似精确 

分 类 号：TP18[自动化与计算机技术—控制理论与控制工程]