计算机工程与应用 ›› 2007, Vol. 43 ›› Issue (31): 53-57.

• 学术探讨 • 上一篇    下一篇

基于τ限制容差关系的不完备信息粗糙集模型

梁美莲1,梁家荣2,李天志3,范 平4   

  1. 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
  • 收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:2007-11-01 发布日期:2007-11-01
  • 通讯作者: 梁美莲

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

LIANG Mei-lian1,LIANG Jia-rong2,LI Tian-zhi3,FAN Ping4   

  1. 1.School of Mathematics and Information Science,Guangxi University,Nanning 530004,China
    2.College of Computer,Electronics and Information,Guangxi University,Nanning 530004,China
    3.Department of Computer Science and Technology,Dezhou University,Dezhou,Shandong 253023,China
    4.School of Information Engineering,Xianning College,Xianning,Hubei 437000,China
  • Received:1900-01-01 Revised:1900-01-01 Online:2007-11-01 Published:2007-11-01
  • Contact: LIANG Mei-lian

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。

Abstract:

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 approximation,lower approximation,generalized decision,discernibility function are defined.Finally,three examples are showed to demonstrate advantages of the new extension.