摘要
基于连续逻辑值语义,研究了不分明化sp-拓扑空间,讨论了不分明化的sp-开集,sp-邻域,sp-闭包及sp-内部等性质,给出了不分明化sp-连续映射的概念,引入了范畴FSPTop,证明了范畴FSPTop是范畴Set上的拓扑范畴。
In this paper,based on the continuous logic value semantics, we study the fuzzifying sp-topological space, discuss the properties of fuzzifying sp-open sets, sp-neighborhood, sp-closure and sp-interior and give the concept of fuzzifying sp-continuous mapping. On this basis, we introduce the category FSPTop.Furthermore,we prove that the category FSPTop is the topological category on the category Set.
作者
孟丽媛
耿俊
王瑞英
MENG Li-yuan;GENG Jun;WANG Rui-ying(Mathematics Science College,Inner Mongolia Normal University,Hohhot 010022,China)
出处
《模糊系统与数学》
北大核心
2020年第2期22-28,共7页
Fuzzy Systems and Mathematics
基金
国家自然科学基金资助项目(11761055)
内蒙古自然科学基金资助项目(2019BS01001)
内蒙古师范大学高层次人才科研项目(2018YJRC018)。
