可变粒度粗糙集  

Variable Granulation Rough Set

作　　者：张明[1,2] 唐振民[1] 徐维艳[3] 杨习贝[1,2] 

机构地区：[1]南京理工大学计算机科学与技术学院,南京210094 [2]江苏科技大学计算机科学与工程学院,镇江212003 [3]江苏科技大学数理学院,镇江212003

出　　处：《计算机科学》2011年第10期220-222,247,共4页Computer Science

基　　金：国家自然科学基金重点项目(90820306);中国博士后科学基金项目(20100481149)资助

摘　　要：分析乐观多粒度粗糙集和悲观多粒度粗糙集的不足之后,提出一种可变粒度粗糙集模型,定义了可变粒度粗糙集的下、上近似集,研究了可变粒度粗糙集与这两种多粒度粗糙集的性质,证明了可变粒度粗糙集是多粒度粗糙集的泛化,最后给出几种可变粒度粗糙集的度量因子,研究了变粒度粗糙集与多粒度粗糙集度量之间的关系。By analyzing the weakness of optimistic Muitl-granulation rough set and pessimistic Muitl-granulation rough set,the Variable granulation rough set was proposed,the lower and the upper approximation were defined.Furthermore,the properties of these three kinds of rough sets were discussed,and that the Variable granulation Rough Set is the generalization of Muitl-granulation rough set was proved.At last,some measures of those rough sets were defined,the relation of their measures was discussed.

关 键 词：可变粒度粗糙集 多粒度粗糙集 度量 

分 类 号：TP18[自动化与计算机技术—控制理论与控制工程]