基于模糊化邻域系的粗糙近似算子(Ⅱ)——公理刻画  

Fuzzifying Neighborhood Systems-based Rough Approximation Operators(Ⅱ)——Axiomatic Characterization

作　　者：金秋[1] 蒋惜珂 李令强[1] JIN Qiu;JIANG Xi-ke;LI Ling-qiang(School of Mathematical Sciences,Liaocheng University,Liaocheng 252059,China)

机构地区：[1]聊城大学数学科学学院,山东聊城252059

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

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.

关 键 词：模糊集 粗糙集 模糊化邻域系 近似算子 公理化 

分 类 号：O159.1[理学—数学]