摘要
本文引入了生成I-Fuzzy拓扑空间的概念,研究了Fuzzifying拓扑空间(X,τ)与其相应的生成I-Fuzzy拓扑空间(IX,ω(τ))的联系;然后介绍了ω,ι算子及它们的运算性质;最后给出并研究了I-Fuzzy诱导空间,I-Fuzzy弱诱导空间,I-Fuzzy满层空间的定义和它们间的联系.
In this paper, we introduce the concept of generated I-fuzzy topological space and study the connection between （X, T） and its corresponding generated space （I^X,ω（τ））. We give the properties of operators ω and ι and introduce the concepts of induced/-Fuzzy topological space,I-Fuzzy background topological space and stratified I-Fuzzy topological space.
基金
山东省自然科学基金(Q99A02)
