Algorithm |
Year of Publication |
Description |

Multi-Objective Genetic Algorithms |

SPEA2 [2] |
2001 |
Strength Pareto evolutionary algorithm 2 |

PSEA-II [3] |
2001 |
Pareto envelope-based selection algorithm II |

NSGA-II [1] |
2002 |
Non-dominated sorting genetic algorithm II |

*ϵ*-MOEA [8] |
2003 |
Multi-objective evolutionary algorithm based on *ϵ*-dominance |

IBEA [9] |
2004 |
Indicator-based evolutionary algorithm |

MOEA/D [4] |
2007 |
Multi-objective evolutionary algorithm based on decomposition |

SMS-EMOA [10] |
2007 |
S metric selection evolutionary multi-objective optimization algorithm |

MSOPS-II [11] |
2007 |
Multiple single objective Pareto sampling algorithm II |

MTS [12] |
2009 |
Multiple trajectory search |

AGE-II [13] |
2013 |
Approximation-guided evolutionary algorithm II |

NSLS [14] |
2015 |
Non-dominated sorting and local search |

BCE-IBEA [15] |
2015 |
Bi-criterion evolution for IBEA |

MOEA/IGD-NS [16] |
2016 |
Multi-objective evolutionary algorithm based on an
enhanced inverted generational distance metric |

Many-Objective Genetic Algorithms |

HypE [17] |
2011 |
Hypervolume-based estimation algorithm |

PICEA-g [18] |
2013 |
Preference-inspired coevolutionary algorithm with goals |

GrEA [19] |
2013 |
Grid-based evolutionary algorithm |

NSGA-III [20] |
2014 |
Many-objective evolutionary algorithm based on objective space reduction and diversity improvement |

A-NSGA-III [21] |
2014 |
Adaptive NSGA-III |

SPEA2+SDE [22] |
2014 |
SPEA2 with shift-based density estimation |

BiGE [23] |
2015 |
Bi-goal evolution |

EFR-RR [7] |
2015 |
Ensemble fitness ranking with ranking restriction |

I-DBEA [24] |
2015 |
Improved decomposition based evolutionary algorithm |

KnEA [25] |
2015 |
Knee point driven evolutionary algorithm |

MaOEA-DDFC [26] |
2015 |
Many-objective evolutionary algorithm based on directional
diversity and favorable convergence |

MOEA/DD [27] |
2015 |
Multi-objective evolutionary algorithm based on dominance and decomposition |

MOMBI-II [28] |
2015 |
Many-objective metaheuristic based on the R2 indicator II |

Two Arch2 [29] |
2015 |
Two-archive algorithm 2 |

MaOEA-R&D [30] |
2016 |
Many-objective evolutionary algorithm based on objective
space reduction and diversity improvement |

RPEA [31] |
2016 |
Reference points-based evolutionary algorithm |

RVEA [32] |
2016 |
Reference vector guided evolutionary algorithm |

RVEA* [32] |
2016 |
RVEA embedded with the reference vector regeneration strategy |

SPEA/R [33] |
2016 |
Strength Pareto evolutionary algorithm based on reference direction |

*θ*-DEA [34] |
2016 |
*θ*-dominance based evolutionary algorithm |

Multi-Objective Genetic Algorithms for Large-Scale Optimization |

MOEA/DVA [35] |
2016 |
Multi-objective evolutionary algorithm based on decision variable analyses |

LMEA [36] |
2016 |
Large-scale many-objective evolutionary algorithm |

Multi-Objective Genetic Algorithms with Preference |

g-NSGA-II [37] |
2009 |
g-dominance based NSGA-II |

r-NSGA-II [38] |
2010 |
r-dominance based NSGA-II |

WV-MOEA-P [39] |
2016 |
Weight vector based multi-objective optimization algorithm with preference |

Multi-objective Differential Algorithms |

GDE3 [40] |
2005 |
Generalized differential evolution 3 |

MOEA/D-DE [5] |
2009 |
MOEA/D based on differential evolution |

Multi-objective Particle Swarm Optimization Algorithms |

MOPSO [41] |
2002 |
Multi-objective particle swarm optimization |

SMPSO [42] |
2009 |
Speed-constrained multi-objective particle swarm optimization |

dMOPSO [43] |
2011 |
Decomposition-based particle swarm optimization |

Multi-objective Memetic Algorithms |

M-PAES [44] |
2000 |
Memetic algorithm based on Pareto archived evolution strategy |

Multi-objective Estimation of Distribution Algorithms |

MO-CMA [45] |
2007 |
Multi-objective covariance matrix adaptation |

RM-MEDA [46] |
2008 |
Regularity model-based multi-objective estimation of distribution algorithm |

IM-MOEA [47] |
2015 |
Inverse modeling multi-objective evolutionary algorithm |

Surrogate Model Based Multi-objective Algorithms |

ParEGO [48] |
2005 |
Efficient global optimization for Pareto optimization |

SMS-EGO [49] |
2008 |
S-metric-selection-based efficient global optimization |

K-RVEA [50] |
2016 |
Kriging assisted RVEA |