I-fuzzy拓扑线性空间中的零元平衡重域系  

The Balanced Q-neighborhood Systems of Zero Element in I-fuzzy Topological Vector Spaces

作　　者：李慧 王瑞英[1] 耿俊 LI Hui;WANG Rui-ying;GENG Jun(Mathematics Science College,Inner Mongolia Normal University,Hohhot 010022,China)

机构地区：[1]内蒙古师范大学数学科学学院,内蒙古呼和浩特010022

出　　处：《模糊系统与数学》2020年第3期19-25,共7页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金资助项目(11761055)。

摘　　要：本文首先引入I-fuzzy拓扑线性空间的概念,并在该空间中利用连续值逻辑语义的方法研究了任意Fuzzy点重域系的性质;其次讨论了零元平衡重域系的结构及其性质;最后建立了零元的平衡重域系对I-fuzzy拓扑线性空间的刻画定理。In this paper,we introduce the concept of I-fuzzy topological vector space,and use semantic method of continuous-valued logic to research the properties of Q-neighborhood systems of discretional fuzzy point in I-fuzzy topological vector spaces.Next we discuss the structures and properties of the balanced Q-neighborhood systems of zero element.Finally,the characterising theorem of the balanced Q-neighborhood systems of zero element for I-fuzzy topological vector spaces is established.

关 键 词：模糊逻辑 I-fuzzy拓扑线性空间 重域 I-fuzzy平衡 

分 类 号：O189[理学—数学]