International Journal of Computational Intelligence Systems

Volume 6, Issue 1, January 2013, Pages 115 - 126

On aggregation of metric structures: the extended quasi-metric case

Authors
Sebastià Massanet, Oscar Valero
Corresponding Author
Sebastià Massanet
Received 31 May 2012, Accepted 19 August 2012, Available Online 2 January 2013.
DOI
https://doi.org/10.1080/18756891.2013.756228How to use a DOI?
Keywords
Aggregation, (extended) quasi-metric, monotone function, subadditive function
Abstract

In 1981, J. Borsík and J. Doboš studied and solved the problem of how to merge, by means of a function, a (not necessarily finite) collection of metrics in order to obtain a single one as output. Later on, in 2010, G. Mayor and O. Valero proposed and solved the Borsík and Doboš problem in the context of quasi-metrics. In this paper, we focus our attention on the aggregation problem for the case of extended quasi-metrics and we give several connections between both problems, the problem of merging quasi-metrics and the extended quasi-metric aggregation one.

Copyright
© 2017, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Journal
International Journal of Computational Intelligence Systems
Volume-Issue
6 - 1
Pages
115 - 126
Publication Date
2013/01/02
ISSN (Online)
1875-6883
ISSN (Print)
1875-6891
DOI
https://doi.org/10.1080/18756891.2013.756228How to use a DOI?
Copyright
© 2017, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - JOUR
AU  - Sebastià Massanet
AU  - Oscar Valero
PY  - 2013
DA  - 2013/01/02
TI  - On aggregation of metric structures: the extended quasi-metric case
JO  - International Journal of Computational Intelligence Systems
SP  - 115
EP  - 126
VL  - 6
IS  - 1
SN  - 1875-6883
UR  - https://doi.org/10.1080/18756891.2013.756228
DO  - https://doi.org/10.1080/18756891.2013.756228
ID  - Massanet2013
ER  -