Fuzzy uniformly continuous functions

被引：0

作者：

Janis, V ^{[1
]}

机构：

[1] Matej Bel Univ, Fac Nat Sci, Dept Math, SK-97401 Banska Bystrica, Slovakia

来源：

TATRA MOUNTAINS MATHEMATICAL PUBLICATIONS, VOL 14, 1998: REAL FUNCTIONS | 1998年

关键词：

fuzzy continuous function; fuzzy uniform continuity; intermediate value;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In [1] the authors introduce a definition of fuzzy continuity that enabler; to claim that a real function is bounded on a compact set if and only if it is fuzzy continuous. However, some other properties, natural for continuous functions, are not more valid for fuzzy continuous ones. An example of such property is the intermediate value principle. We show that if we use the methods from [1] to define fuzzy uniform continuity, we salvage this principle.

引用

页码：177 / 180

页数：4

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