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.
作者
孙守斌
胡凯
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)
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
关键词
L-fuzzy远域系统
完全分配格
上近似算子
粗糙集
L-fuzzy remote neighborhood system
completely distributive lattice
upper approximation operator
rough set