一种新的L-fuzzy粗糙集的刻画方法  

A New Characterization Method of L-fuzzy Rough Sets

作　　者：孙守斌[1] 胡凯[2] SUN Shou-bin;HU Kai(School of Computer Sciences and Technology,Liaocheng University,Liaocheng 252059,China;School of Mathematical and Sciences,Liaocheng University,Liaocheng 252059,China)

机构地区：[1]聊城大学计算机学院,山东聊城252059 [2]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）》2020年第1期5-9,共5页Journal of Liaocheng University:Natural Science Edition

基　　金：国家自然科学基金项目（11501278,11471152）;聊城大学科研基金项目（318011515）;教育部-学佳澳软件科技发展有限公司基金项目资助

摘　　要：远域作为分子的邻近结构,在模糊拓扑中起着重要的作用.能否把远域应用到粗糙集理论中用于刻画近似算子?我们在这方面进行了有益的尝试,得到了较好的结论.基于远域系统,我们讨论了串行的、自反的、弱传递的、弱一元的和传递的等性质,得到了很好的结论.Remote neighborhood as the adjacent structure of the molecule[1],it plays an important role in fuzzy topology.Can remote neighborhood be applied to the rough set theory to characterize the approximate operator?We have made a useful attempt in this respect and come to a good conclusion.Based remote neighborhood system,we discuss the properties of serial,reflexive,weak-transitive,weak-unary and transitive.We have got many good conclusions.

关 键 词：L-fuzzy远域系统 完全分配格 上近似算子 粗糙集 

分 类 号：O159[理学—数学]