基于邻域系统的粗糙集模型的代数性质  

Algebraic Properties of Rough Set Model Based on Neighborhood System

作　　者：刘银山 王豪 秦克云[1] LIU Yinshan;WANG Hao;QIN Keyun(School of Mathematics,Southwest Jiaotong University,Chengdu 611756,China)

机构地区：[1]西南交通大学数学学院,成都611756

出　　处：《计算机科学》2023年第S02期525-530,共6页Computer Science

基　　金：国家自然科学基金(61976130)。

摘　　要：基于邻域系统的粗糙集模型是基于一般二元关系的广义粗糙集模型以及覆盖粗糙集模型的扩展。一般来说,不同的邻域系统可能生成相同的近似算子。给出不同邻域系统生成相同近似算子的条件,进而基于近似算子提出一种对邻域系统分类的方法。另外,给出基于邻域系统的粗糙近似算子的公理化描述方法。The rough set model based on neighborhood system is an extension of generalized rough set model based on general binary relation and covering rough set model.In general,different neighborhood systems may generate the same approximation operator.This paper gives the conditions for different neighborhood systems to generate the same approximation operator,and then proposes a method to classify the neighborhood systems based on the approximation operator.In addition,the axiomatic description method of rough approximation operator based on neighborhood system is given.

关 键 词：邻域系统近似算子 邻域系统分类 公理化方法 

分 类 号：TP182[自动化与计算机技术—控制理论与控制工程]