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 …

Multimodal multi-objective optimization: A preliminary study

JJ Liang, CT Yue, BY Qu - 2016 IEEE congress on evolutionary …, 2016 - ieeexplore.ieee.org
In real world applications, there are many multi-objective optimization problems. Most
existing multi-objective optimization algorithms focus on improving the diversity, spread and …

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 …

Newton's method for multiobjective optimization

J Fliege, LMG Drummond, BF Svaiter - SIAM Journal on Optimization, 2009 - SIAM
We propose an extension of Newton's method for unconstrained multiobjective optimization
(multicriteria optimization). This method does not use a priori chosen weighting factors or …

Handling imbalance between convergence and diversity in the decision space in evolutionary multimodal multiobjective optimization

Y Liu, H Ishibuchi, GG Yen, Y Nojima… - IEEE Transactions on …, 2019 - ieeexplore.ieee.org
There may exist more than one Pareto optimal solution with the same objective vector to a
multimodal multiobjective optimization problem (MMOP). The difficulties in finding such …

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 …

Evolutionary multimodal multiobjective optimization guided by growing neural gas

Y Liu, L Zhang, X Zeng, Y Han - Swarm and Evolutionary Computation, 2024 - Elsevier
Evolutionary multimodal multiobjective optimization aims to search for a set of Pareto
optimal solutions that are well distributed in both the objective and decision spaces. In …

A decomposition-based evolutionary algorithm for multi-modal multi-objective optimization

R Tanabe, H Ishibuchi - Parallel Problem Solving from Nature–PPSN XV …, 2018 - Springer
This paper proposes a novel decomposition-based evolutionary algorithm for multi-modal
multi-objective optimization, which is the problem of locating as many as possible (almost) …

Evolutionary multimodal multiobjective optimization for traveling salesman problems

Y Liu, L Xu, Y Han, X Zeng, GG Yen… - IEEE Transactions on …, 2023 - ieeexplore.ieee.org
Multimodal multiobjective optimization problems (MMOPs) are commonly seen in real-world
applications. Many evolutionary algorithms have been proposed to solve continuous …