局部T-凸模糊拓扑向量空间

Locally T-convex Fuzzy Topological Vector Spaces

基于T-凸模糊集提出了局部T-凸模糊拓扑向量空间的概念,这里的T是一个三角模,给出了局部T-凸模糊拓扑向量空间的几个例子,研究了局部T-凸模糊拓扑向量空间的性质。此外,利用一族满足T-凸性条件的模糊伪范数刻画了局部T-凸模糊拓扑向量空间。

Based on T-convex fuzzy sets, the notion of locally T-convex fuzzy topological vector space （I-tvs） is proposed, where T is a triangular norm. Several examples of locally T-convex I-tvs are illustrated. Some properties of locally T-convex I-tvs are investigated. In addition, characterization of locally T-convex I-tvs in terms of a family of fuzzy pseudo-norms subject to T-convexity condition is presented.