函数空间上的模糊线性拓扑

Fuzzy Linear Jopology on Function Space

本文给出了模糊拓扑向量空间（Ｘ，Ｗ）到（Ｙ，Ｊ）的函数族Ｆ上的模糊线性拓扑，证明了若值域空间（Ｙ，Ｊ）是（Ｑ）型的、局部凸的模糊拓扑向量空间，则（Ｆ，），也是型的、局部凸的模糊拓扑向量空间。

Let F be a function family from fuzzy topological vector space (X,W)into(Y,J).Inthis paper,we introduce a fuzzy linear topology on F. We prove following results. If(Y,J)is a type fuzzy topological vector space,so is. If(Y,J)is a locallyconvex fuzzy topological vector space,then is too.