Multimodal multi-objective optimization: Comparative study of the state-of-the-art

W Li, T Zhang, R Wang, S Huang, J Liang - Swarm and Evolutionary …, 2023 - Elsevier
Multimodal multi-objective problems (MMOPs) commonly arise in the real world where
distant solutions in decision space correspond to very similar objective values. To obtain …

A review of evolutionary multimodal multiobjective optimization

R Tanabe, H Ishibuchi - IEEE Transactions on Evolutionary …, 2019 - ieeexplore.ieee.org
Multimodal multiobjective optimization aims to find all Pareto optimal solutions, including
overlap** solutions in the objective space. Multimodal multiobjective optimization has …

A multiobjective particle swarm optimizer using ring topology for solving multimodal multiobjective problems

C Yue, B Qu, J Liang - IEEE Transactions on Evolutionary …, 2017 - ieeexplore.ieee.org
This paper presents a new particle swarm optimizer for solving multimodal multiobjective
optimization problems which may have more than one Pareto-optimal solution …

Hierarchy ranking method for multimodal multiobjective optimization with local Pareto fronts

W Li, X Yao, T Zhang, R Wang… - IEEE Transactions on …, 2022 - ieeexplore.ieee.org
Multimodal multiobjective problems (MMOPs) commonly arise in real-world situations where
distant solutions in decision space share a very similar objective value. Traditional …

A modified particle swarm optimization for multimodal multi-objective optimization

XW Zhang, H Liu, LP Tu - Engineering Applications of Artificial Intelligence, 2020 - Elsevier
As an effective evolutionary algorithm, particle swarm optimization (PSO) has been widely
used to solve single or multi-objective optimization problems. However, the performance of …

Weighted indicator-based evolutionary algorithm for multimodal multiobjective optimization

W Li, T Zhang, R Wang… - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
Multimodal multiobjective problems (MMOPs) arise frequently in the real world, in which
multiple Pareto-optimal solution (PS) sets correspond to the same point on the Pareto front …

Multimodal multiobjective optimization with differential evolution

J Liang, W Xu, C Yue, K Yu, H Song, OD Crisalle… - Swarm and evolutionary …, 2019 - Elsevier
This paper proposes a multimodal multiobjective Differential Evolution optimization
algorithm (MMODE). The technique is conceived for deployment on problems with a Pareto …

Grid search based multi-population particle swarm optimization algorithm for multimodal multi-objective optimization

G Li, W Wang, W Zhang, Z Wang, H Tu… - Swarm and Evolutionary …, 2021 - Elsevier
In the multimodal multi-objective optimization problems (MMOPs), there may exist two or
multiple equivalent Pareto optimal sets (PS) with the same Pareto Front (PF). The difficulty of …

A self-organized speciation based multi-objective particle swarm optimizer for multimodal multi-objective problems

B Qu, C Li, J Liang, L Yan, K Yu, Y Zhu - Applied Soft Computing, 2020 - Elsevier
This paper proposes a self-organized speciation based multi-objective particle swarm
optimizer (SS-MOPSO) to locate multiple Pareto optimal solutions for solving multimodal …

Approximating the set of Pareto-optimal solutions in both the decision and objective spaces by an estimation of distribution algorithm

A Zhou, Q Zhang, Y ** - IEEE transactions on evolutionary …, 2009 - ieeexplore.ieee.org
Most existing multiobjective evolutionary algorithms aim at approximating the Pareto front
(PF), which is the distribution of the Pareto-optimal solutions in the objective space. In many …