Fuzzifying拓扑空间中的强半分离性  

Strong semi-separation axiom in Fuzzifying topological spaces

作　　者：杨文华 YANG Wenhua(School of Statistics and Mathmatics,Inner Mongolia University of Finance and Economics,Huhhot 010020,China)

机构地区：[1]内蒙古财经大学统计与数学学院,呼和浩特010020

出　　处：《计算机工程与应用》2018年第18期52-57,共6页Computer Engineering and Applications

基　　金：内蒙古自治区高等学校科学研究项目(No.NJZC16140);内蒙古自然科学基金(No.2017BS0101)

摘　　要：在Fuzzifying拓扑空间中,运用连续值逻辑LΝ1(赋值格为Lukasiewicz单位区间)语义的方法,以强半开集、强半邻域、强半闭包和强半内部等概念为工具引入了SPT0、SPT1、SPT2、SPT3、SPT4强半分离公理,并且给出了五种强半分离公理各自的等价刻画,讨论了它们彼此之间的关系。这套分离公理本身是协调的,可以作为对已有分离公理一种很好的补充。In Fuzzifying topological spaces,using the semantic method of continuous logic,and strong semi-open sets,strong semi-neighborhood,strong semi-interior,strong semi-closure as tools,strong semi-separation axioms SPT0,SPT1,SPT2,SPT3,SPT4 are introduced.In addition,equivalent characterizations of them are given,and the relations of each other are discussed.The results show that the separation axioms are not only compatible themselves,but also it can be seen as a useful complement to those have existence.

关 键 词：Lukasiewicz逻辑 FUZZIFYING拓扑 强半开集 强半分离性 

分 类 号：O189.1[理学—数学]