F-拓扑空间的分离公理

Seperation Axioms in F-Topological Spaces

[1]中引入模糊拓扑空间的概念后,有关讨论已有很多,我们仿照,将中的概念与中的一般拓扑空间的有关概念对比,来讨论模糊拓扑空间的分离性,并提出一些概念和分离性的等价命题。另外利用远域和开邻域相结合定义模糊拓扑空间的另一种类型分离性。

The concept of fuzzy topolgical space was introduced in [1]. following [1],We compare the concepts in [2] with those concepts in general topological space, in [3], discuss the seperation axioms in fuzzy topological space and define a class of seperation axioms in fuzzy topological space with the concepts of promote field and open necghborhood.