<script type="text/javascript">
<!--
document.write('<div id="oa_widget"></div>');
document.write('<script type="text/javascript" src="https://www.openaire.eu/index.php?option=com_openaire&view=widget&format=raw&projectId=undefined&type=result"></script>');
-->
</script>

COPY SCRIPT

For further information contact us at helpdesk@openaire.eu

On the completion of fuzzy metric spaces

descriptionPublicationkeyboard_double_arrow_right Article 01 Oct 2008Publisher:Elsevier BVJournal:Fuzzy Sets and Systems, volume 159, pages 2,596-2,605 (issn: 0165-0114,

Authors: Huan Huang; Congxin Wu;

doi: 10.1016/j.fss.2008.05.008

On the completion of fuzzy metric spaces

- Summary
- Related research
  (5)
- Metrics

Abstract

This paper discusses the completion of a fuzzy metric space (in the sense of Kaleva and Seikkala) that is modeled by a pair of two-place functions, L and R. Previous work on this question is based on L=min, R=max. Under the condition that L and R are a generic class of two-place functions, we characterize the completable fuzzy metric space and show that the corresponding completion is uniquely determined up to isometry. Furthermore, we point out that with more conditions on R, including on R=max, the completion of each fuzzy metric space exists and is unique up to isometry. This improves the corresponding result of Kaleva [The completion of fuzzy metric spaces, J. Math. Anal. Appl. 109 (1985) 194-198].

Related Organizations

Harbin Institute of Technology
China (People's Republic of)
Jimei University
China (People's Republic of)

5 Research products, page 1 of 1

The Maximal Relation Based on A Given Relation Schema and Its Concept Lattice
2013IsAmongTopNSimilarDocuments
Metabolic and respiratory hydrogen ion effects on hypoxic pulmonary vasoconstriction
1984IsAmongTopNSimilarDocuments
The scaling site
2015IsAmongTopNSimilarDocuments
The formation of correlated states and optimization of the tunnel effect for low-energy particles under nonmonochromatic and pulsed action on a potential barrier
2015IsAmongTopNSimilarDocuments
The formation of correlated states and the increase in barrier transparency at a low particle energy in nonstationary systems with damping and fluctuations
2012IsAmongTopNSimilarDocuments

Impact byBIP!

	citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	10
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average