Yulan Lu , Xueyi Guo , Jinggai Geng , Shuai Wang , Zhenkun Wang , Aimin Zhou , Jianyong Sun , Xinhui Si , Xin Sun , Hu Zhang
{"title":"基于规则的进化多目标优化综述","authors":"Yulan Lu , Xueyi Guo , Jinggai Geng , Shuai Wang , Zhenkun Wang , Aimin Zhou , Jianyong Sun , Xinhui Si , Xin Sun , Hu Zhang","doi":"10.1016/j.swevo.2025.101999","DOIUrl":null,"url":null,"abstract":"<div><div>Under mild conditions, the Pareto optimal solutions of a continuous <span><math><mi>m</mi></math></span>-dimensional multi-objective optimization problem (MOP) have been proved to form a piecewise (<span><math><mi>m</mi></math></span>-1)-dimensional manifold structure in the search space, a characteristic known as the regularity property. As a domain knowledge of MOP, since the first proposal in 2008, this regularity property has demonstrated significant potential for enhancing the performance of multiobjective evolutionary algorithms (MOEAs). However, there has yet to be a systematic survey of the regularity property within the design of MOEAs. This article aims to address this gap by providing a comprehensive review of regularity-based evolutionary multi-objective optimization (REMO) approaches. We hope that this survey will help EMO researchers to have a comprehensive understanding of REMO.</div></div>","PeriodicalId":48682,"journal":{"name":"Swarm and Evolutionary Computation","volume":"97 ","pages":"Article 101999"},"PeriodicalIF":8.5000,"publicationDate":"2025-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Regularity-based evolutionary multi-objective optimization review\",\"authors\":\"Yulan Lu , Xueyi Guo , Jinggai Geng , Shuai Wang , Zhenkun Wang , Aimin Zhou , Jianyong Sun , Xinhui Si , Xin Sun , Hu Zhang\",\"doi\":\"10.1016/j.swevo.2025.101999\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>Under mild conditions, the Pareto optimal solutions of a continuous <span><math><mi>m</mi></math></span>-dimensional multi-objective optimization problem (MOP) have been proved to form a piecewise (<span><math><mi>m</mi></math></span>-1)-dimensional manifold structure in the search space, a characteristic known as the regularity property. As a domain knowledge of MOP, since the first proposal in 2008, this regularity property has demonstrated significant potential for enhancing the performance of multiobjective evolutionary algorithms (MOEAs). However, there has yet to be a systematic survey of the regularity property within the design of MOEAs. This article aims to address this gap by providing a comprehensive review of regularity-based evolutionary multi-objective optimization (REMO) approaches. We hope that this survey will help EMO researchers to have a comprehensive understanding of REMO.</div></div>\",\"PeriodicalId\":48682,\"journal\":{\"name\":\"Swarm and Evolutionary Computation\",\"volume\":\"97 \",\"pages\":\"Article 101999\"},\"PeriodicalIF\":8.5000,\"publicationDate\":\"2025-06-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Swarm and Evolutionary Computation\",\"FirstCategoryId\":\"94\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S2210650225001579\",\"RegionNum\":1,\"RegionCategory\":\"计算机科学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Swarm and Evolutionary Computation","FirstCategoryId":"94","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S2210650225001579","RegionNum":1,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE","Score":null,"Total":0}
Under mild conditions, the Pareto optimal solutions of a continuous -dimensional multi-objective optimization problem (MOP) have been proved to form a piecewise (-1)-dimensional manifold structure in the search space, a characteristic known as the regularity property. As a domain knowledge of MOP, since the first proposal in 2008, this regularity property has demonstrated significant potential for enhancing the performance of multiobjective evolutionary algorithms (MOEAs). However, there has yet to be a systematic survey of the regularity property within the design of MOEAs. This article aims to address this gap by providing a comprehensive review of regularity-based evolutionary multi-objective optimization (REMO) approaches. We hope that this survey will help EMO researchers to have a comprehensive understanding of REMO.
期刊介绍:
Swarm and Evolutionary Computation is a pioneering peer-reviewed journal focused on the latest research and advancements in nature-inspired intelligent computation using swarm and evolutionary algorithms. It covers theoretical, experimental, and practical aspects of these paradigms and their hybrids, promoting interdisciplinary research. The journal prioritizes the publication of high-quality, original articles that push the boundaries of evolutionary computation and swarm intelligence. Additionally, it welcomes survey papers on current topics and novel applications. Topics of interest include but are not limited to: Genetic Algorithms, and Genetic Programming, Evolution Strategies, and Evolutionary Programming, Differential Evolution, Artificial Immune Systems, Particle Swarms, Ant Colony, Bacterial Foraging, Artificial Bees, Fireflies Algorithm, Harmony Search, Artificial Life, Digital Organisms, Estimation of Distribution Algorithms, Stochastic Diffusion Search, Quantum Computing, Nano Computing, Membrane Computing, Human-centric Computing, Hybridization of Algorithms, Memetic Computing, Autonomic Computing, Self-organizing systems, Combinatorial, Discrete, Binary, Constrained, Multi-objective, Multi-modal, Dynamic, and Large-scale Optimization.