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MLopez-Ibanez committed Sep 13, 2023
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Expand Up @@ -10510,6 +10510,46 @@ @Article{LiLiTanYao2015many
numpages = 35,
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@Article{LiLopYao2023archiving,
author = Li_Miqing #and# Lopez-Ibanez #and# Yao_Xin,
title = {Multi-Objective Archiving},
journal = tec,
year = 2023,
doi = {10.1109/TEVC.2023.3314152},
abstract = {Most multi-objective optimisation algorithms maintain an
archive explicitly or implicitly during their search. Such an
archive can be solely used to store high-quality solutions
presented to the decision maker, but in many cases may
participate in the search process (e.g., as the population in
evolutionary computation). Over the last two decades,
archiving, the process of comparing new solutions with
previous ones and deciding how to update the
archive/population, stands as an important issue in
evolutionary multi-objective optimisation (EMO). This is
evidenced by constant efforts from the community on
developing various effective archiving methods, ranging from
conventional Pareto-based methods to more recent
indicator-based and decomposition-based ones. However, the
focus of these efforts is on empirical performance comparison
in terms of specific quality indicators; there is lack of
systematic study of archiving methods from a general
theoretical perspective. In this paper, we attempt to conduct
a systematic overview of multi-objective archiving, in the
hope of paving the way to understand archiving algorithms
from a holistic perspective of theory and practice, and more
importantly providing a guidance on how to design
theoretically desirable and practically useful archiving
algorithms. In doing so, we also present that archiving
algorithms based on weakly Pareto compliant indicators (e.g.,
-indicator), as long as designed properly, can achieve the
same theoretical desirables as archivers based on Pareto
compliant indicators (e.g., hypervolume indicator). Such
desirables include the property limit-optimal, the limit form
of the possible optimal property that a bounded archiving
algorithm can have with respect to the most general form of
superiority between solution sets.}
}

@Article{LiTanLiYao2016stochastic,
title = {Stochastic ranking algorithm for many-objective optimization
based on multiple indicators},
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