局部T-凸模糊拓扑向量空间  

Locally T-convex Fuzzy Topological Vector Spaces

作　　者：张化朋[1] 

机构地区：[1]南京邮电大学理学院,江苏南京210023

出　　处：《模糊系统与数学》2017年第3期1-5,共5页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金资助项目(11301281;11571006)

摘　　要：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.

关 键 词：三角模 凸模糊集 模糊拓扑向量空间 重域 模糊伪范数 

分 类 号：O189[理学—数学]