不完备系统中基于特征相容块的粗糙集  

Characteristic consistent blocks based rough set in incomplete system

作　　者：杨习贝[1,2] 黄佳玲[1] 周君仪[3] 杨静宇[2] 

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

出　　处：《山东大学学报（工学版）》2012年第5期1-6,共6页Journal of Shandong University（Engineering Science）

基　　金：国家自然科学基金资助项目(61100116);江苏省自然科学基金资助项目(BK2011492);江苏省高校自然科学基金资助项目(11KJB520004);中国博士后科学基金资助项目(20100481149);江苏省博士后科学基金项目资助(1101137C)

摘　　要：以同时具有遗漏型和缺席型未知属性值的不完备信息系统为研究对象,分析了由特征关系所得到的特征类中并非任意两个元素都满足容差关系这一不足,将最大相容块技术引入到特征类中,提出了特征相容块的概念,不仅对基于特征相容块的粗糙集的基本性质进行了讨论,而且将特征相容块粗糙集与特征关系粗糙集进行了对比分析,研究结果表明,相比于特征关系,采用特征相容块的方法,可以得到更大的下近似和更小的上近似。The incomplete information system with both absent and missing unknown values was studied. The limitation of characteristic class, was pointed out such that not any two elements in a characteristic class were mutually tolerant. The technique of maximal consistent blocks was introduced into characteristic class, and then the concept of characteris- tic consistent block was proposed. Not only the basic properties about characteristic consistent blocks based rough set were discussed, but also the relationship between characteristic consistent blocks and characteristic relation based rough sets was analyzed. The results showed that by comparing with the characteristic relation, the greater lower approxima- tion and smaller upper approximation could be obtained by characteristic consistent block approach.

关 键 词：不完备信息系统 特征关系 特征相容块 粗糙集 

分 类 号：TP18[自动化与计算机技术—控制理论与控制工程]