基于τ限制容差关系的不完备信息粗糙集模型  

Extension of rough set under incomplete information system based on τ limited tolerance relation.

作　　者：梁美莲[1] 梁家荣[2] 李天志[3] 范平[4] 

机构地区：[1]广西大学数学与信息科学学院,南宁530004 [2]广西大学计算机与电子信息学院,南宁530004 [3]德州学院计算机系,山东德州253023 [4]咸宁学院信息工程学院,湖北咸宁437000

出　　处：《计算机工程与应用》2007年第31期53-57,共5页Computer Engineering and Applications

基　　金：国家自然科学基金(the National Nature Science Foundation of China under Grant No.60564001);广西"十百千人才工程"专项基金(the Foundation for the Hundred; Thousand and Ten Thousand Talent Project of Guangxi under Grant No.2003201);教育部留学回国人员科研专项基金(the Scientific Research Foundation for the Returned Overseas Chinese Scholars; State Education Ministry under Grant No.[2004]527);广西大学科研基金(the Scientific Research Foundation of Guangxi University under Grant No.X061035)

摘　　要：对经典粗糙集理论进行适当扩充使其适用于不完备信息系统,是把粗糙集理论进一步推向实用的关键。在分析已有的几个不完备信息系统的粗糙集扩充模型的基础上,提出了τ限制容差关系,并将上近似、下近似、广义决策函数、区分矩阵等概念在该关系下进行了定义,最后通过实例说明了新模型相较于已有模型的优越性。It is crucial to develop rough set theory under incomplete information systems,which is implemented by extending the classical rough set theory.In this paper,several extensions of rough set under incomplete information systems are analyzed.Then a novel extension of rough set based on the τ limited tolerance relation is proposed and some concepts such as upper approxima- tion,lower approximation,generalized decision,discernibility function are defined.Finally,three examples are showed to demonstrate advantages of the new extension.

关 键 词：数据挖掘 粗糙集 不完备信息系统 容差关系 

分 类 号：TP18[自动化与计算机技术—控制理论与控制工程]