On aggregation of metric structures: the extended quasi-metric case
- https://doi.org/10.1080/18756891.2013.756228How to use a DOI?
- Aggregation, (extended) quasi-metric, monotone function, subadditive function
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.
- © 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 -