THE RELATIONSHIP BETWEEN A FUZZY UNIFORMITY AND ITS FAMILY OF ALPHA-LEVEL UNIFORMITIES

被引：17

作者：

BURTON, MH

机构：

[1] Department of Mathematics, Rhodes University, Grahamstown

来源：

FUZZY SETS AND SYSTEMS | 1993年 / 54卷 / 03期

关键词：

FUZZY UNIFORMITY; UNIFORMITY; UNIFORM CONTINUITY;

D O I：

10.1016/0165-0114(93)90377-T

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We show that a fuzzy uniformity D is uniquely determined by its family of alpha-level uniformities (D(alpha): alpha is-an-element-of (0, 1)). On the other hand, if a family (D(alpha): alpha is-an-element-of (0, 1)) of uniformities on a set X is given and the family satisfies certain conditions, then there exists a unique fuzzy uniformity D on X whose family of alpha-level uniformities is the given family.

引用

页码：311 / 315

页数：5

共 10 条

[1]

BURTON MH, 1993, FUZZY SETS SYSTEMS, V53, P317

[2]

BURTON MH, 1993, IN PRESS QUAESTIONES, V16

[3]

BURTON MH, IN PRESS FUZZY SETS

[4]

BURTON MH, 1992, THESIS RHODES U