Characterizing completable fuzzy metric spaces

被引：117

作者：

Gregori, V

Romaguera, S ^{[1
]}

机构：

[1] Univ Politecn Valencia, Escuela Politecn Super Gandia, Valencia 46730, Spain

[2] Univ Politecn Valencia, Escuela Caminos, Dept Matemat Aplicada, E-46071 Valencia, Spain

来源：

FUZZY SETS AND SYSTEMS | 2004年 / 144卷 / 03期

关键词：

fuzzy metric space; fuzzy metric completion; completable; cauchy sequence;

D O I：

10.1016/S0165-0114(03)00161-1

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

Recently we showed the existence of a fuzzy metric space, in the sense of George and Veeramani, which is not completable (Fuzzy Sets and Systems 130 (2002) 399). Here we present an internal characterization of those fuzzy metric spaces that are completable. Some applications are derived and some illustrative examples are given. (C) 2003 Elsevier B.V. All rights reserved.

引用

页码：411 / 420

页数：10

共 11 条

[1]

Engelking R., 1977, General Topology

[2] ON SOME RESULTS IN FUZZY METRIC-SPACES [J].

GEORGE, A ;

VEERAMANI, P .

FUZZY SETS AND SYSTEMS, 1994, 64 (03) :395-399

[3] On some results of analysis for fuzzy metric spaces [J].

George, A ;

Veeramani, P .

FUZZY SETS AND SYSTEMS, 1997, 90 (03) :365-368

[4]

George A., 1995, J. Fuzzy Math., V3, P933

[5]

GRABIEC M, 1989, FUZZY SETS SYSTEMS, V27, P385

[6] On completion of fuzzy metric spaces [J].

Gregori, V ;

Romaguera, S .

FUZZY SETS AND SYSTEMS, 2002, 130 (03) :399-404

[7] Some properties of fuzzy metric spaces [J].

Gregori, V ;

Romaguera, S .

FUZZY SETS AND SYSTEMS, 2000, 115 (03) :485-489

[8]

GREGORI V, 2001, REND I MAT U TRIE S2, V32, P81

[9]

Kramosil I., 1975, KYBERNETIKA, V15, P326

[10]

Sapena A., 2001, APPL GEN TOPOLOGY, V2, P63, DOI DOI 10.4995/AGT.2001.3016

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