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* biblio.bib(GruFon2012ea): New.
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MLopez-Ibanez committed Apr 19, 2024
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22 changes: 22 additions & 0 deletions biblio.bib
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Expand Up @@ -5230,6 +5230,28 @@ @InCollection{GruFon2009:emaa
pages = {103--130}
}

@InCollection{GruFon2012ea,
author = Grunert_da_Fonseca #and# Fonseca,
title = {The Relationship between the Covered Fraction, Completeness
and Hypervolume Indicators},
crossref = {EA2011},
doi = {10.1007/978-3-642-35533-2_3},
abstract = {This paper investigates the relationship between the covered
fraction, completeness, and (weighted) hypervolume indicators
for assessing the quality of the Pareto-front approximations
produced by multiobjective optimizers. It is shown that these
unary quality indicators are all, by definition, weighted
Hausdorff measures of the intersection of the region attained
by such an optimizer outcome in objective space with some
reference set. Moreover, when the optimizer is stochastic,
the indicators considered lead to real-valued random
variables following particular probability
distributions. Expressions for the expected value of these
distributions are derived, and shown to be directly related
to the first-order attainment function.},
keywords = {hypervolume, empiricial attainment function}
}

@InCollection{Grunert01,
author = Grunert_da_Fonseca #and# Fonseca #and# Hall_Andreia,
key = {Fonseca et al., 2001},
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6 changes: 3 additions & 3 deletions crossref.bib
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Expand Up @@ -1228,12 +1228,12 @@ @Book{EA2011
title = {Artificial Evolution: 10th International Conference,
Evolution Artificielle, EA, 2011, Angers, France, October
24-26, 2011. Revised Selected Papers},
publisher = springer,
year = 2012,
publisher = springer,
booktitle = ea2011,
volume = 7401,
series = lncs,
address = add-heidelberg,
booktitle = ea2011,
address = add-heidelberg
}

@Book{EA2013,
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