摘要
以Fuzzy拓扑空间的1-连通性为基础,建立Fuzzy基本群的概念,并探讨了Fuzzy基本群与分明拓扑空间的基本群之间的内在关系,表明Fuzzy基本群是R.Lowen意义下的“好的推广”。
This paper introduces the concept of the fuzzy fundamental group on the basis of the 1-connectedness of fuzzy topological spaces, and discusses the relationship between the fuzzy fundamental group and the fundamental group in crisp topological spaces. This relationship shows that the fuzzy fundamental group is a good extension in the sense of R. Lowen.
关键词
模糊拓扑空间
模糊群
模糊道路
fuzzy topological spaces
fuzzy group
fuzzy road
connectedness
fuzzy continuous mapping
