摘要
研究了基于模糊化邻域系的粗糙近似算子的公理刻画问题.特别地,通过一组公理集分别刻画了由串行的、反身的、一元的和传递的模糊化邻域系生成的粗糙近似算子.
In this paper, we present an axiomatic study on fuzzifying neighborhood system-based rough approximation operators.In particular, by an axiomatic set, we characterize the rough approximation operators generated by serial, reflexive, unary and transitive fuzzifying neighborhood systems, respectively.
作者
金秋
蒋惜珂
李令强
JIN Qiu;JIANG Xi-ke;LI Ling-qiang(School of Mathematical Sciences,Liaocheng University,Liaocheng 252059,China)
出处
《聊城大学学报（自然科学版）》
2018年第4期72-76,共5页
Journal of Liaocheng University:Natural Science Edition
基金
国家自然科学基金资助课题(11801248
11501278
11471152)资助
关键词
模糊集
粗糙集
模糊化邻域系
近似算子
公理化
fuzzy set
rough set
fuzzifying neighborhood systems
approximation operators
axiomatic characterization
