A tutorial on multiobjective optimization: fundamentals and evolutionary methods

MTM Emmerich, AH Deutz - Natural computing, 2018 - Springer
In almost no other field of computer science, the idea of using bio-inspired search paradigms
has been so useful as in solving multiobjective optimization problems. The idea of using a …

Performance indicators in multiobjective optimization

C Audet, J Bigeon, D Cartier, S Le Digabel… - European journal of …, 2021 - Elsevier
In recent years, the development of new algorithms for multiobjective optimization has
considerably grown. A large number of performance indicators has been introduced to …

An adaptive localized decision variable analysis approach to large-scale multiobjective and many-objective optimization

L Ma, M Huang, S Yang, R Wang… - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
This article proposes an adaptive localized decision variable analysis approach under the
decomposition-based framework to solve the large-scale multiobjective and many-objective …

Quality evaluation of solution sets in multiobjective optimisation: A survey

M Li, X Yao - ACM Computing Surveys (CSUR), 2019 - dl.acm.org
Complexity and variety of modern multiobjective optimisation problems result in the
emergence of numerous search techniques, from traditional mathematical programming to …

An indicator-based multiobjective evolutionary algorithm with reference point adaptation for better versatility

Y Tian, R Cheng, X Zhang, F Cheng… - IEEE Transactions on …, 2017 - ieeexplore.ieee.org
During the past two decades, a variety of multiobjective evolutionary algorithms (MOEAs)
have been proposed in the literature. As pointed out in some recent studies, however, the …

Learning to optimize: reference vector reinforcement learning adaption to constrained many-objective optimization of industrial copper burdening system

L Ma, N Li, Y Guo, X Wang, S Yang… - IEEE Transactions …, 2021 - ieeexplore.ieee.org
The performance of decomposition-based algorithms is sensitive to the Pareto front shapes
since their reference vectors preset in advance are not always adaptable to various problem …

A decision variable clustering-based evolutionary algorithm for large-scale many-objective optimization

X Zhang, Y Tian, R Cheng, Y Jin - IEEE Transactions on …, 2016 - ieeexplore.ieee.org
The current literature of evolutionary many-objective optimization is merely focused on the
scalability to the number of objectives, while little work has considered the scalability to the …

A new dominance relation-based evolutionary algorithm for many-objective optimization

Y Yuan, H Xu, B Wang, X Yao - IEEE Transactions on …, 2015 - ieeexplore.ieee.org
Many-objective optimization has posed a great challenge to the classical Pareto dominance-
based multiobjective evolutionary algorithms (MOEAs). In this paper, an evolutionary …

Large-scale evolutionary multiobjective optimization assisted by directed sampling

S Qin, C Sun, Y Jin, Y Tan… - IEEE transactions on …, 2021 - ieeexplore.ieee.org
It is particularly challenging for evolutionary algorithms to quickly converge to the Pareto
front in large-scale multiobjective optimization. To tackle this problem, this article proposes a …

Balancing convergence and diversity in decomposition-based many-objective optimizers

Y Yuan, H Xu, B Wang, B Zhang… - IEEE Transactions on …, 2015 - ieeexplore.ieee.org
The decomposition-based multiobjective evolutionary algorithms (MOEAs) generally make
use of aggregation functions to decompose a multiobjective optimization problem into …