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

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.