On a class of completable fuzzy metric spaces

被引：63

作者：

Gregori, Valentin ^{[1
]}

Morillas, Samuel ^{[1
]}

Sapena, Almanzor ^{[1
]}

机构：

[1] Univ Politecn Valencia, Inst Matemat Pura & Aplicada, Valencia 46022, Spain

来源：

FUZZY SETS AND SYSTEMS | 2010年 / 161卷 / 16期

关键词：

Fuzzy metric space; Fuzzy metric completion; Stationary fuzzy metric; Strong fuzzy metric; Fuzzy ultrametric; Principal fuzzy metric; REMOVAL; THEOREM;

D O I：

10.1016/j.fss.2010.03.013

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper we study some properties of a class of fuzzy metric spaces, in the sense of George and Veeramani, called strong. This class includes the class of stationary fuzzy metrics, and in particular, when the fuzzy metric is principal, we obtain a family of metrics which are compatible with the topology induced by the fuzzy metric. Also, we study some aspects of the completion of strong fuzzy metrics and we find a class of completable stationary fuzzy metrics which includes the class of stationary fuzzy ultrametrics. (C) 2010 Elsevier B.V. All rights reserved.

引用

页码：2193 / 2205

页数：13

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