一般协调近似表示空间的约简

J4 ›› 2010, Vol. 45 ›› Issue (10): 109-115.

一般协调近似表示空间的约简

李进金1,张燕兰2,许晴媛2

1.漳州师范学院数学与信息科学系, 福建漳州 363000;
2.漳州师范学院计算机科学与工程系, 福建漳州 363000

收稿日期:2009-08-20 出版日期:2010-10-16 发布日期:2010-10-19
作者简介:李进金(1960-),男，博士，教授，研究方向为粗糙集理论及其应用. Email: jinjinli@fjzs.edu.cn
基金资助:
国家自然科学基金资助项目(10671173, 10971186)；福建省科技计划基金资助项目(2008F5066,JA09165)

Reduction in general consistent approximate representation space

LI Jin-jin1, ZHANG Yan-lan2, XU Qing-yuan2

1. Department of Information Science and Mathematics, Zhangzhou Normal University, Zhangzhou 363000, Fujian, China;
2. Department of Computer Science and Engineering, Zhangzhou Normal University, Zhangzhou 363000, Fujian, China

Received:2009-08-20 Online:2010-10-16 Published:2010-10-19

摘要/Abstract

摘要：

从拓扑的包含关系这一全新的视角进一步认识协调近似表示空间的属性约简理论。在此基础上将协调近似表示空间中的等价关系放宽为一般关系,提出了一般协调近似表示空间的概念,并给出了一般协调近似表示空间关系约简理论,指出了可将其转换成一类覆盖族的约简且是协调覆盖决策系统属性约简的一般形式,最后用一个模型给出本文约简理论的应用实例。

关键词: 协调近似表示空间; 一般协调近似表示空间; 属性约简; 关系约简; 拓扑; 覆盖

Abstract:

The inclusion relation of topologies is used to recognize the theory of reduction in consistent approximate representation space. And then the equivalent relations of consistent approximate representation space are extend to general binary relations. The general consistent approximate representation space is defined. In general consistent approximate representation space, the theory of relational reduction is given, and an extension for the theory of reduction in consistent covering decision systems is introduced. Finally, the model shows an application of the theory of reduction.

Key words: consistent approximate representation space; general consistent approximate representation space; attribute reduction; relation reduction; topology; covering

李进金1,张燕兰2,许晴媛2 . 一般协调近似表示空间的约简[J]. J4, 2010, 45(10): 109-115.

LI Jin-jin1, ZHANG Yan-lan2, XU Qing-yuan2. Reduction in general consistent approximate representation space[J]. J4, 2010, 45(10): 109-115.

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