2007
DOI: 10.1162/evco.2007.15.4.493
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Pareto-adaptive ε-dominance

Abstract: Efficiency has become one of the main concerns in evolutionary multiobjective optimization during recent years. One of the possible alternatives to achieve a faster convergence is to use a relaxed form of Pareto dominance that allows us to regulate the granularity of the approximation of the Pareto front that we wish to achieve. One such relaxed forms of Pareto dominance that has become popular in the last few years is ε-dominance, which has been mainly used as an archiving strategy in some multiobjective evol… Show more

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Cited by 134 publications
(85 citation statements)
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“…Then, the grid coordinates of solutions are used to determine their dominance relations instead of the objective values. The -dominance relation is a relaxation of the Pareto dominance and other similar work includes pa -dominance [37], cone -dominance [38], etc. The second idea for enhancing the effectiveness of the Pareto dominance is based on the expansion of the dominance area.…”
Section: Rectifications Of Pareto Dominance For Many-objective Optimimentioning
confidence: 99%
“…Then, the grid coordinates of solutions are used to determine their dominance relations instead of the objective values. The -dominance relation is a relaxation of the Pareto dominance and other similar work includes pa -dominance [37], cone -dominance [38], etc. The second idea for enhancing the effectiveness of the Pareto dominance is based on the expansion of the dominance area.…”
Section: Rectifications Of Pareto Dominance For Many-objective Optimimentioning
confidence: 99%
“…Popular ideas include pruning mechanisms [25,26,27,28,29,30], spreading measures [31] or performance indicators [32] of the approximated front.…”
Section: Diversity Mechanismmentioning
confidence: 99%
“…An additional aspect for future research is to take into account the shape of the Pareto Frontier. A method for estimating this shape can be found in (Hernández-Díaz et al, 2007). Finally, interactive versions of the algorithms proposed in this paper are also possible, together with a question of possible dynamic modifications of reference points.…”
Section: Conclusion and Directions For Future Researchmentioning
confidence: 99%