中文摘要：

主要研究了fuzzy拓扑生成序空间的诱导理论。首先,利用算子ω,ι及[]定义了三种拓扑生成序,并讨论了它们的基本性质。其次,引入了三种fuzzy拓扑生成序空间。即,弱诱导的fuzzy拓扑生成序空间,满层的fuzzy拓扑生成序空间,以及诱导的fuzzy拓扑生成序空间。并进一步讨论了这三种fuzzy拓扑生成序空间的内在关系。

英文摘要：

The aim of this paper is to discuss the theory of induced fuzzy topogenous spaces. Firstly, by using three operators, namely, co, e and [], we define three topogenous orders whose basic properties are studied accordingly. Secondly, we introduce three kinds of fuzzy topogenous spaces, i.e. , weakly induced fuzzy topogenous spaces, stratified fuzzy topogenous spaces and induced fuzzy topogenous spaces. We further explore the inner relations of those three spaces.