TOPOLOGICAL REPRESENTATION FOR FUZZY TOPOLOGICAL-SPACES

被引：0

作者：

EROGLU, MS

机构：

[1] Karadeniz Technical University, Department of Mathematics

来源：

FUZZY SETS AND SYSTEMS | 1991年 / 42卷 / 03期

关键词：

POINT SPACES; FUZZY TOPOLOGICAL SPACES; REPRESENTATION;

D O I：

10.1016/0165-0114(91)90114-6

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

Let L be a completely distributive complete lattice with universal bounds 0 and 1 such that 0 not-equal 1. Let us denote by X*(L) the set of all prime proper filters of L. To every L-fuzzy topological space (X, tau) one can associate a topological space (X*(L), T*). One obtains a covariant functor from the category CG(L) into the category of topological spaces. We discuss further how far one can go in this direction following ideas in [2].

引用

页码：355 / 362

页数：8

共 5 条

[1] POINT SPACES FOR FUZZY TOPOLOGICAL-SPACES [J].