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In solving multi-modal, multi-objective optimization problems (MMOPs), the objective is not only to find a good representation of the Pareto-optimal front (PF) in the objective space but also to find all equivalent Pareto-optimal subsets…

Neural and Evolutionary Computing · Computer Science 2022-10-24 Tapabrata Ray , Mohammad Mohiuddin Mamun , Hemant Kumar Singh

The infeasible parts of the objective space in difficult many-objective optimization problems cause trouble for evolutionary algorithms. This paper proposes a reference vector based algorithm which uses two interacting engines to adapt the…

Neural and Evolutionary Computing · Computer Science 2019-04-15 Mingde Zhao , Hongwei Ge , Kai Zhang , Yaqing Hou

Multi-modal multi-objective optimization is to locate (almost) equivalent Pareto optimal solutions as many as possible. While decomposition-based evolutionary algorithms have good performance for multi-objective optimization, they are…

Neural and Evolutionary Computing · Computer Science 2020-10-01 Ryoji Tanabe , Hisao Ishibuchi

In evolutionary multiobjective optimization, effectiveness refers to how an evolutionary algorithm performs in terms of converging its solutions into the Pareto front and also diversifying them over the front. This is not an easy job,…

Neural and Evolutionary Computing · Computer Science 2022-10-26 Yani Xue , Miqing Li , Xiaohui Liu

When solving constrained multi-objective optimization problems, an important issue is how to balance convergence, diversity and feasibility simultaneously. To address this issue, this paper proposes a parameter-free constraint handling…

Neural and Evolutionary Computing · Computer Science 2017-11-22 Ke Li , Renzhi Chen , Guangtao Fu , Xin Yao

In this paper, an evolutionary many-objective optimization algorithm based on corner solution search (MaOEA-CS) was proposed. MaOEA-CS implicitly contains two phases: the exploitative search for the most important boundary optimal solutions…

Artificial Intelligence · Computer Science 2018-06-11 Xinye Cai , Haoran Sun , Chunyang Zhu , Zhenyu Li , Qingfu Zhang

Constrained multi-objective optimization problems (CMOPs) are ubiquitous in real-world engineering optimization scenarios. A key issue in constrained multi-objective optimization is to strike a balance among convergence, diversity and…

Neural and Evolutionary Computing · Computer Science 2021-03-12 Xinyu Shan , Ke Li

Most multimodal multi-objective evolutionary algorithms (MMEAs) aim to find all global Pareto optimal sets (PSs) for a multimodal multi-objective optimization problem (MMOP). However, in real-world problems, decision makers (DMs) may be…

Neural and Evolutionary Computing · Computer Science 2023-06-13 Wenhua Li , Xingyi Yao , Kaiwen Li , Rui Wang , Tao Zhang , Ling Wang

The development of efficient and effective evolutionary multi-objective optimization (EMO) algorithms has been an active research topic in the evolutionary computation community. Over the years, many EMO algorithms have been proposed. The…

Neural and Evolutionary Computing · Computer Science 2020-08-18 Lie Meng Pang , Hisao Ishibuchi , Ke Shang

The major difficulty in Multi-objective Optimization Evolutionary Algorithms (MOEAs) is how to find an appropriate solution that is able to converge towards the true Pareto Front with high diversity. Most existing methodologies, which have…

Optimization and Control · Mathematics 2020-04-30 Jeisson Prieto , Jonatan Gomez

Constrained multi-objective optimization problems (CMOPs) frequently arise in real-world applications where multiple conflicting objectives must be optimized under complex constraints. Existing dual-population two-stage algorithms have…

Neural and Evolutionary Computing · Computer Science 2025-10-27 Zhen-Song Chen , Hong-Wei Ding , Xian-Jia Wang , Witold Pedrycz

Multi-Objective Evolutionary Algorithms (MOEAs) have been proved efficient to deal with Multi-objective Optimization Problems (MOPs). Until now tens of MOEAs have been proposed. The unified mode would provide a more systematic approach to…

Neural and Evolutionary Computing · Computer Science 2011-02-01 Bojin Zheng , Yuanxiang Li

It is assumed in the evolutionary multi-objective optimization (EMO) community that a final solution is selected by a decision maker from a non-dominated solution set obtained by an EMO algorithm. The number of solutions to be presented to…

Neural and Evolutionary Computing · Computer Science 2020-12-15 Hisao Ishibuchi , Lie Meng Pang , Ke Shang

This paper addresses the challenge of dynamic multi-objective optimization problems (DMOPs) by introducing novel approaches for accelerating prediction strategies within the evolutionary algorithm framework. Since the objectives of DMOPs…

Neural and Evolutionary Computing · Computer Science 2024-11-14 Ru Lei , Lin Li , Rustam Stolkin , Bin Feng

One of the major distinguishing features of the dynamic multiobjective optimization problems (DMOPs) is the optimization objectives will change over time, thus tracking the varying Pareto-optimal front becomes a challenge. One of the…

Neural and Evolutionary Computing · Computer Science 2017-11-21 Min Jiang , Zhongqiang Huang , Liming Qiu , Wenzhen Huang , Gary G. Yen

Multiobjective optimization (MOO) is prevalent in numerous applications, in which a Pareto front (PF) is constructed to display optima under various preferences. Previous methods commonly utilize the set of Pareto objectives (particles on…

Machine Learning · Computer Science 2024-02-16 Xiaoyuan Zhang , Xi Lin , Yichi Zhang , Yifan Chen , Qingfu Zhang

To coordinate the economy, security and environment protection in the power system operation, a two-step many-objective optimal power flow (MaOPF) solution method is proposed. In step 1, it is the first time that knee point-driven…

Optimization and Control · Mathematics 2018-12-05 Yahui Li , Yang Li

Parent selection in evolutionary algorithms for multi-objective optimisation is usually performed by dominance mechanisms or indicator functions that prefer non-dominated points. We propose to refine the parent selection on evolutionary…

Neural and Evolutionary Computing · Computer Science 2018-09-05 Edgar Covantes Osuna , Wanru Gao , Frank Neumann , Dirk Sudholt

Existing studies on dynamic multi-objective optimization focus on problems with time-dependent objective functions, while the ones with a changing number of objectives have rarely been considered in the literature. Instead of changing the…

Neural and Evolutionary Computing · Computer Science 2017-02-20 Renzhi Chen , Ke Li , Xin Yao

Many real-world optimization problems such as engineering design can be eventually modeled as the corresponding multiobjective optimization problems (MOPs) which must be solved to obtain approximate Pareto optimal fronts. Multiobjective…

Neural and Evolutionary Computing · Computer Science 2021-11-12 Wang Chen , Jian Chen , Weitian Wu , Xinmin Yang , Hui Li
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