基于模糊邻域系的α-粗糙集及其应用  

Theα-rough Set Based on Fuzzifying Neighborhood Systems and Its Applications

作　　者：庞婧 姚炳学[1] 李令强[1] PANG Jing;YAO Bing-xue;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：《模糊系统与数学》2022年第5期158-165,共8页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金资助项目(11801248,12171240);山东省自然科学基金资助项目(ZR2020MA042)。

摘　　要：本文引入了基于模糊邻域系的α-粗糙集模型,研究了其基本性质,建立了其约简理论,并借助于α-粗糙集给出了模糊邻域系粗糙集的分解定理,从而建立了其与邻域系粗糙集的联系。In this paper,the concept ofα-rough set based on fuzzifying neighborhood systems is introduced,and its basic properties are discussed.Secondly,the reduction theory of theα-rough set based on fuzzifying neighborhood systems is presented.Finally,through theα-rough set based on fuzzifying neighborhood systems,the decomposition theorem of the rough sets based on fuzzifying neighborhood systems is given,and the relation between the rough sets based on fuzzifying neighborhood systems and the rough sets based on neighborhood systems is established.

关 键 词：粗糙集 模糊集 邻域系 近似算子 

分 类 号：O159[理学—数学]