基于模糊化邻域系统的模糊粗糙集模型  

Fuzzy Rough Set Model Based on Fuzzifying Neighborhood Systems

作　　者：候婷 冉虹 马欢 秦克云[1] HOU Ting;RAN Hong;MA Huan;QIN Keyun(School of Mathematics,Southwest Jiaotong University,Chengdu 611756,Sichuan)

机构地区：[1]西南交通大学数学学院,四川成都611756

出　　处：《四川师范大学学报（自然科学版）》2023年第5期652-659,共8页Journal of Sichuan Normal University（Natural Science）

基　　金：国家自然科学基金(61976130和12271319)。

摘　　要：基于邻域系统的粗糙集模型是Pawlak粗糙集模型的重要推广形式.讨论基于模糊化邻域系统的模糊粗糙集模型,给出模型中模糊粗糙近似算子的构造方法并讨论算子的基本性质.另外,当模糊化邻域系统串行、自反、对称、一元和传递时刻画了相关近似算子的代数结构.The generalized rough set in neighborhood system is an important extension of the Pawlak's rough set model.This paper discusses the fuzzy rough set model based on the fuzzifying neighborhood system.The construction method of the fuzzy rough approximation operators in the model is presented and the basic properties of the operators are investigated.In addition,when the fuzzifying neighborhood system is serial,reflexive,symmetric,unary and transitive,the algebraic structures of the related approximation operators are examined.

关 键 词：模糊化邻域系统 上近似算子 下近似算子 粗糙集 模糊集 

分 类 号：TP182[自动化与计算机技术—控制理论与控制工程]