不协调目标信息系统中基于对象子集的μ-约简

doi:10.6040/j.issn.1671-9352.0.2014.096

山东大学学报（理学版） ›› 2015, Vol. 50 ›› Issue (05): 35-39.doi: 10.6040/j.issn.1671-9352.0.2014.096

不协调目标信息系统中基于对象子集的μ-约简

邱婷婷, 李克典

闽南师范大学数学与统计学院, 福建漳州 363000

收稿日期:2014-03-17 出版日期:2015-05-20 发布日期:2015-05-29
作者简介:邱婷婷(1989-),女,硕士研究生,研究方向为粗糙集理论及其应用.E-mail:821169952@qq.com
基金资助:
国家自然科学基金资助项目(61379021,11471153);福建省自然科学基金资助项目(2013J01029)

μ-reduction based on the subset of the objects in inconsistent information systems

QIU Ting-ting, LI Ke-dian

College of Mathematics and Statistics, Minnan Normal University, Zhangzhou 363000, Fujian, China

Received:2014-03-17 Online:2015-05-20 Published:2015-05-29

摘要/Abstract

摘要： 利用集族上的等价关系,引入不协调目标信息系统中基于对象子集的μ-约简的概念,得到了μ-约简的一些性质和判定定理及相应的可辨识矩阵,同时提出不协调目标信息系统中基于对象子集的μ-约简的计算方法,用实例验证了该方法的有效性。

关键词: &mu, -约简, 可辨识矩阵, 不协调目标信息系统, 对象子集

Abstract: The μ-reduction based on the subsets of the objects in inconsistent information systems is given by the equivalence relation on the set group. Also, some properties of μ-reduction,the judgement theorem and corresponding discernibility matrix with respect to the μ-reduction are obtained. And an approach to calculate μ-reduction is provided. A numerical example is used to illustrate the validity of this method.

Key words: subsets of the objects, μ-reduction, discernibility matrix, inconsistent information systems

中图分类号:

TP18

邱婷婷, 李克典. 不协调目标信息系统中基于对象子集的μ-约简[J]. 山东大学学报（理学版）, 2015, 50(05): 35-39.

QIU Ting-ting, LI Ke-dian. μ-reduction based on the subset of the objects in inconsistent information systems[J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2015, 50(05): 35-39.

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不协调目标信息系统中基于对象子集的μ-约简

μ-reduction based on the subset of the objects in inconsistent information systems

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