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Computación y Sistemas
On-line version ISSN 2007-9737Print version ISSN 1405-5546
Abstract
VARGAS, Andrés and BOGOYA, Johan. A Generalization of the Averaged Hausdorff Distance. Comp. y Sist. [online]. 2018, vol.22, n.2, pp.331-345. Epub Jan 21, 2021. ISSN 2007-9737. https://doi.org/10.13053/cys-22-2-2950.
The averaged Hausdorff distance is an inframetric which has been recently used in evolutionary multiobjective optimization (EMO). In this paper we introduce a new two-parameter performance indicator which generalizes as well as the standard Hausdorff distance. For the indicator (that we call the -averaged distance) turns out to be a proper metric and preserves some of the advantages. We proof several properties of , and provide a comparison with and the standard Hausdorff distance. For simplicity we restrict ourselves to finite sets, which is the most common case, but our results can be extended to the continuous case.
Keywords : Averaged Hausdorff distance; generational distance; inverted generational distance; multiobjective optimization; performance indicator; power means.