广义粗集公理化的一个注记

J4 ›› 2011, Vol. 46 ›› Issue (8): 114-117.

广义粗集公理化的一个注记

马周明^1,2,李进金^1,2*

1.漳州师范学院数学与信息科学系, 福建漳州 363000; 2.漳州师范学院粒计算重点实验室，福建漳州 363000

收稿日期:2010-10-17 出版日期:2011-08-20 发布日期:2011-09-08
通讯作者: 李进金(1960- ),男,教授,博士生导师,研究方向为拓扑学及其应用、粗糙集理论与人工智能.Email:jinjinli@fjzs.edu.cn
作者简介:马周明(1979- ),男,讲师,研究方向为粗糙集理论及其应用. Email:mazhouming@sina.com
基金资助:
国家自然科学基金资助项目(10671173,10971186);漳州师范学院科学研究资助项目(SK09019)

Remarks on axiomatizations of generalized rough sets theory

MA Zhou-ming^1,2, LI Jin-jin^1,2*

1.Department of Mathematics and Information Science, Zhangzhou Normal University, Zhangzhou 363000, Fujian, China;
2. Lab of Granular Computing, Zhangzhou Normal University, Zhangzhou 363000, Fujian, China

Received:2010-10-17 Online:2011-08-20 Published:2011-09-08

摘要/Abstract

摘要：

广义粗集理论是基于等价关系的粗集理论的各种拓广。本文讨论了基于一般二元关系的广义粗糙集的公理化,通过实例分析了确定二元关系的必要公理组条件,并给出了各公理组的充分条件。

关键词: 粗糙集;广义粗糙集;公理化

Abstract:

Generalized rough sets theory is a development of rough sets theory based on equivalence relation. The axiomatizations of generalized rough sets is discussed based on binary relations, and the necessary axiom condition of a binary relations are analyzed by the actual examples.The sufficient conditions of every axiom set are given.

Key words: rough set; generalized rough sets; axiomatization

马周明1,2,李进金1,2*. 广义粗集公理化的一个注记[J]. J4, 2011, 46(8): 114-117.

MA Zhou-ming1,2, LI Jin-jin1,2*. Remarks on axiomatizations of generalized rough sets theory[J]. J4, 2011, 46(8): 114-117.

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