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 …

An enhanced fast non-dominated solution sorting genetic algorithm for multi-objective problems

W Deng, X Zhang, Y Zhou, Y Liu, X Zhou, H Chen… - Information …, 2022 - Elsevier
Multi-modal multi-objective optimization problem (MMOPs) has attracted more and more
attention in evolutionary computing recently. It is not easy to solve these problems using the …

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 …

Differential evolution using improved crowding distance for multimodal multiobjective optimization

C Yue, PN Suganthan, J Liang, B Qu, K Yu… - Swarm and Evolutionary …, 2021 - Elsevier
In multiobjective optimization, the relationship between decision space and objective space
is generally assumed to be a one-to-one map**, but it is not always the case. In some …

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 …

A multimodal multiobjective evolutionary algorithm using two-archive and recombination strategies

Y Liu, GG Yen, D Gong - IEEE Transactions on Evolutionary …, 2018 - ieeexplore.ieee.org
There have been few researches on solving multimodal multiobjective optimization
problems, whereas they are commonly seen in real-world applications but difficult for the …

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 evolutionary optimization with dual clustering in decision and objective spaces

Q Lin, W Lin, Z Zhu, M Gong, J Li… - IEEE Transactions on …, 2020 - ieeexplore.ieee.org
This article suggests a multimodal multiobjective evolutionary algorithm with dual clustering
in decision and objective spaces. One clustering is run in decision space to gather nearby …