不分明化sp-拓扑空间及范畴FSPTop的拓扑性  

Fuzzifying sp-topological Space and the Topological Properties of Category FSPTop

作　　者：孟丽媛 耿俊 王瑞英[1] MENG Li-yuan;GENG Jun;WANG Rui-ying(Mathematics Science College,Inner Mongolia Normal University,Hohhot 010022,China)

机构地区：[1]内蒙古师范大学数学科学学院,内蒙古呼和浩特010022

出　　处：《模糊系统与数学》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)。

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.

关 键 词：不分明化sp-拓扑空间 不分明化sp-连续映射 拓扑范畴 

分 类 号：O189[理学—数学]