2015
DOI: 10.1145/2792984
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Many-Objective Evolutionary Algorithms

Abstract: Multiobjective evolutionary algorithms (MOEAs) have been widely used in real-world applications. However, most MOEAs based on Pareto-dominance handle many-objective problems (MaOPs) poorly due to a high proportion of incomparable and thus mutually nondominated solutions. Recently, a number of many-objective evolutionary algorithms (MaOEAs) have been proposed to deal with this scalability issue. In this article, a survey of MaOEAs is reported. According to the key ideas used, MaOEAs are categorized into seven c… Show more

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Cited by 701 publications
(360 citation statements)
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“…Kernelized Fuzzy Rough Set Based Semi Supervised Support Vector Machine (KFRS-S3VM) [1] and iii. Multi-objective Particle Swarm Optimization (MPSO) [6], [21][22][23][24] have been discussed in the following subsections.…”
Section: Recently Proposed Data Mining Classifiersmentioning
confidence: 99%
“…Kernelized Fuzzy Rough Set Based Semi Supervised Support Vector Machine (KFRS-S3VM) [1] and iii. Multi-objective Particle Swarm Optimization (MPSO) [6], [21][22][23][24] have been discussed in the following subsections.…”
Section: Recently Proposed Data Mining Classifiersmentioning
confidence: 99%
“…Second, the role of non-dominated sorting in promoting population of KnEA to converge to the Pareto fronts degenerates on MaOPs in comparison to that on MOPs. The main reason is attributed to a phenomenon called dominance resistance [19], since the number of solutions will considerably increase as the number of objectives increases. Taking two random solutions in M-dimensional objective space as an example, the probability that one solution dominates the other one is ( 1 2 ) M−1 , as shown in Fig.…”
Section: Effectiveness For Many-objective Optimizationmentioning
confidence: 99%
“…In the existing MOEAs, non-dominated sorting is mainly performed in environmental selection, where solutions are divided into several ranks by non-dominated sorting and those in the same rank are distinguished by additional criteria, such as crowding distance in NSGA-II, GDE3, SMPSO, and EAG-MOEA/D, the region-based metric in PESA-II, and the enhanced IGD in MOEA/IGD-NS. As for MaOPs, non-dominated sorting has also been favored by researchers in developing MOEAs despite that its effectiveness considerably deteriorates on MaOPs due to the Pareto dominance resistance phenomenon [19]. Some representative MOEAs that directly adopted non-dominated sorting to handle MaOPs include GrEA [20], NSGA-III [21], KnEA [22], and LMEA [23].…”
Section: Introductionmentioning
confidence: 99%
“…Recently, many-objective optimization has received a lot of attention in the evolutionary multi-objective optimization (EMO) community, where optimization of four or more objectives is called many-objective optimization [14,15,23]. Many-objective problems present a number of challenges [10,19] to the EMO community such as the deterioration in search ability of Pareto dominance-based algorithms [6,29] and the increase in computation time of hypervolume-based algorithms [2,3].…”
Section: Introductionmentioning
confidence: 99%