Gromov-Hausdorff convergence of non-Archimedean fuzzy metric spaces

被引：6

作者：

Macario, Sergio ^{[1
]}

Sanchis, Manuel ^{[2
]}

机构：

[1] Univ Jaume 1, Dept Matemat, Castellon de La Plana 12071, Spain

[2] Univ Jaume 1, Inst Univ Matemat & Aplicac Castello IMAC, Castellon de La Plana 12071, Spain

来源：

FUZZY SETS AND SYSTEMS | 2015年 / 267卷

关键词：

COMPLETION;

D O I：

10.1016/j.fss.2014.06.016

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We introduce the notion of the Gromov-Hausdorff fuzzy distance between two non-Archimedean fuzzy metric spaces (in the sense of Kramosil and Michalek). Basic properties involving convergence and the fuzzy version of the completeness theorem are presented. We show that the topological properties induced by the classic Gromov-Hausdorff distance on metric spaces can be deduced from our approach. (C) 2014 Elsevier B.V. All rights reserved.

引用

页码：62 / 85

页数：24

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