{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,23]],"date-time":"2026-07-23T05:19:58Z","timestamp":1784783998889,"version":"3.55.0"},"reference-count":37,"publisher":"Elsevier BV","license":[{"start":{"date-parts":[[2026,9,1]],"date-time":"2026-09-01T00:00:00Z","timestamp":1788220800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2026,9,1]],"date-time":"2026-09-01T00:00:00Z","timestamp":1788220800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/legal\/tdmrep-license"},{"start":{"date-parts":[[2026,9,1]],"date-time":"2026-09-01T00:00:00Z","timestamp":1788220800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-017"},{"start":{"date-parts":[[2026,9,1]],"date-time":"2026-09-01T00:00:00Z","timestamp":1788220800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"},{"start":{"date-parts":[[2026,9,1]],"date-time":"2026-09-01T00:00:00Z","timestamp":1788220800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-012"},{"start":{"date-parts":[[2026,9,1]],"date-time":"2026-09-01T00:00:00Z","timestamp":1788220800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2026,9,1]],"date-time":"2026-09-01T00:00:00Z","timestamp":1788220800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-004"}],"funder":[{"DOI":"10.13039\/501100010814","name":"Anhui Provincial Department of Education","doi-asserted-by":"publisher","award":["2025AHGXZK50075"],"award-info":[{"award-number":["2025AHGXZK50075"]}],"id":[{"id":"10.13039\/501100010814","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["62136008"],"award-info":[{"award-number":["62136008"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["62276001"],"award-info":[{"award-number":["62276001"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["U21A20512"],"award-info":[{"award-number":["U21A20512"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100010097","name":"China Association for Science and Technology","doi-asserted-by":"publisher","id":[{"id":"10.13039\/100010097","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100003995","name":"Natural Science Foundation of Anhui Province","doi-asserted-by":"publisher","award":["2308085J03"],"award-info":[{"award-number":["2308085J03"]}],"id":[{"id":"10.13039\/501100003995","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Information Sciences"],"published-print":{"date-parts":[[2026,9]]},"DOI":"10.1016\/j.ins.2026.123539","type":"journal-article","created":{"date-parts":[[2026,4,20]],"date-time":"2026-04-20T16:02:19Z","timestamp":1776700939000},"page":"123539","update-policy":"https:\/\/doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":1,"special_numbering":"C","title":["Exploring equivalent sparse optimal solutions of large-scale multi-modal multi-objective optimization problems using cooperative evolution"],"prefix":"10.1016","volume":"749","author":[{"given":"Shuai","family":"Shao","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3487-5126","authenticated-orcid":false,"given":"Ye","family":"Tian","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1878-9065","authenticated-orcid":false,"given":"Zhibin","family":"Gao","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5052-000X","authenticated-orcid":false,"given":"Xingyi","family":"Zhang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"78","reference":[{"issue":"12","key":"10.1016\/j.ins.2026.123539_bib0005","doi-asserted-by":"crossref","first-page":"15217","DOI":"10.1007\/s10462-023-10526-z","article-title":"A comprehensive survey on Nsga-ii for multi-objective optimization and applications","volume":"56","author":"Ma","year":"2023","journal-title":"Artif. Intell. Rev."},{"key":"10.1016\/j.ins.2026.123539_bib0010","doi-asserted-by":"crossref","DOI":"10.1016\/j.media.2019.101625","article-title":"Multi-modal neuroimaging feature selection with consistent metric constraint for diagnosis of alzheimer\u2019s disease","volume":"60","author":"Hao","year":"2020","journal-title":"Med. Image Anal."},{"issue":"5","key":"10.1016\/j.ins.2026.123539_bib0015","first-page":"7369","article-title":"An enhanced multimodal multi-objective genetic algorithm with a novel adaptive crossover mechanism for feature selection","volume":"45","author":"Ji","year":"2023","journal-title":"J. Intell. Fuzzy Syst."},{"key":"10.1016\/j.ins.2026.123539_bib0020","series-title":"2022 IEEE Congress on Evolutionary Computation (CEC)","first-page":"1","article-title":"A multimodal multiobjective genetic algorithm for feature selection","author":"Liang","year":"2022"},{"key":"10.1016\/j.ins.2026.123539_bib0025","series-title":"International Conference on Evolutionary Multi-Criterion Optimization","first-page":"47","article-title":"Omni-optimizer: a procedure for single and multi-objective optimization","author":"Deb","year":"2005"},{"key":"10.1016\/j.ins.2026.123539_bib0030","doi-asserted-by":"crossref","first-page":"1148","DOI":"10.1016\/j.ins.2020.09.075","article-title":"Preference-inspired coevolutionary algorithm with active diversity strategy for multi-objective multi-modal optimization","volume":"546","author":"Wang","year":"2021","journal-title":"Inf. Sci."},{"key":"10.1016\/j.ins.2026.123539_bib0035","series-title":"Proceedings of the 12th Annual Conference on Genetic and Evolutionary Computation","first-page":"503","article-title":"Dbscan-based multi-objective niching to approximate equivalent pareto-subsets","author":"Kramer","year":"2010"},{"key":"10.1016\/j.ins.2026.123539_bib0040","series-title":"Evolutionary Multi-Criterion Optimization: 5th International Conference, EMO 2009, Nantes, France, April 7\u201310, 2009. Proceedings 5","first-page":"95","article-title":"Enhancing decision space diversity in evolutionary multiobjective algorithms","author":"Shir","year":"2009"},{"key":"10.1016\/j.ins.2026.123539_bib0045","doi-asserted-by":"crossref","DOI":"10.1016\/j.asoc.2024.112059","article-title":"A knowledge-guided regional division based evolutionary algorithm for multi-modal multi-objective optimization","volume":"165","author":"Lei","year":"2024","journal-title":"Appl. Soft Comput."},{"key":"10.1016\/j.ins.2026.123539_bib0050","doi-asserted-by":"crossref","DOI":"10.1016\/j.asoc.2026.114853","article-title":"An adaptive resource management based evolutionary algorithm for large-scale multi-modal multi-objective optimization","volume":"193","author":"Shao","year":"2026","journal-title":"Appl. Soft Comput."},{"issue":"4","key":"10.1016\/j.ins.2026.123539_bib0055","doi-asserted-by":"crossref","first-page":"246","DOI":"10.1007\/s10586-024-04901-w","article-title":"Superb fairy-wren optimization algorithm: a novel metaheuristic algorithm for solving feature selection problems","volume":"28","author":"Jia","year":"2025","journal-title":"Clust. Comput."},{"issue":"3","key":"10.1016\/j.ins.2026.123539_bib0060","doi-asserted-by":"crossref","first-page":"397","DOI":"10.1109\/TSMCC.2008.919172","article-title":"Pareto-based multiobjective machine learning: an overview and case studies","volume":"38","author":"Jin","year":"2008","journal-title":"IEEE Trans. Syst. Man Cybern. C, Appl. Rev."},{"key":"10.1016\/j.ins.2026.123539_bib0065","doi-asserted-by":"crossref","DOI":"10.1016\/j.engappai.2024.108638","article-title":"A dual-time dual-population multi-objective evolutionary algorithm with application to the portfolio optimization problem","volume":"133","author":"Song","year":"2024","journal-title":"Eng. Appl. Artif. Intell."},{"issue":"12","key":"10.1016\/j.ins.2026.123539_bib0070","doi-asserted-by":"crossref","DOI":"10.1111\/exsy.70157","article-title":"Large-scale multi-objective optimization algorithms: a decade survey","volume":"42","author":"Wang","year":"2025","journal-title":"Expert Syst."},{"issue":"7","key":"10.1016\/j.ins.2026.123539_bib0075","doi-asserted-by":"crossref","first-page":"3471","DOI":"10.1109\/TCYB.2025.3558354","article-title":"Knowledge learning-based dimensionality reduction for solving large-scale sparse multiobjective optimization problems","volume":"55","author":"Shao","year":"2025","journal-title":"IEEE Trans. Cybern."},{"key":"10.1016\/j.ins.2026.123539_bib0080","doi-asserted-by":"crossref","DOI":"10.1016\/j.swevo.2023.101235","article-title":"An adaptive two-stage evolutionary algorithm for large-scale continuous multi-objective optimization","volume":"77","author":"Lin","year":"2023","journal-title":"Swarm Evol. Comput."},{"issue":"3","key":"10.1016\/j.ins.2026.123539_bib0085","doi-asserted-by":"crossref","first-page":"405","DOI":"10.1109\/TEVC.2020.3044711","article-title":"A multipopulation evolutionary algorithm for solving large-scale multimodal multiobjective optimization problems","volume":"25","author":"Tian","year":"2020","journal-title":"IEEE Trans. Evol. Comput."},{"key":"10.1016\/j.ins.2026.123539_bib0090","series-title":"IJCAI","first-page":"859","article-title":"A multi-objective multi-modal optimization approach for mining stable spatio-temporal patterns","author":"Sebag","year":"2005"},{"key":"10.1016\/j.ins.2026.123539_bib0095","doi-asserted-by":"crossref","DOI":"10.1016\/j.ins.2024.120301","article-title":"Multi-strategy multi-modal multi-objective evolutionary algorithm using macro and micro archive sets","volume":"663","author":"Peng","year":"2024","journal-title":"Inf. Sci."},{"key":"10.1016\/j.ins.2026.123539_bib0100","doi-asserted-by":"crossref","DOI":"10.1016\/j.swevo.2023.101253","article-title":"Multimodal multi-objective optimization: comparative study of the state-of-the-art","volume":"77","author":"Li","year":"2023","journal-title":"Swarm Evol. Comput."},{"key":"10.1016\/j.ins.2026.123539_bib0105","series-title":"2016 IEEE Congress on Evolutionary Computation (CEC)","first-page":"2454","article-title":"Multimodal multi-objective optimization: a preliminary study","author":"Liang","year":"2016"},{"issue":"4","key":"10.1016\/j.ins.2026.123539_bib0110","doi-asserted-by":"crossref","first-page":"660","DOI":"10.1109\/TEVC.2018.2879406","article-title":"A multimodal multiobjective evolutionary algorithm using two-archive and recombination strategies","volume":"23","author":"Liu","year":"2018","journal-title":"IEEE Trans. Evol. Comput."},{"issue":"6","key":"10.1016\/j.ins.2026.123539_bib0115","doi-asserted-by":"crossref","first-page":"1064","DOI":"10.1109\/TEVC.2021.3078441","article-title":"Weighted indicator-based evolutionary algorithm for multimodal multiobjective optimization","volume":"25","author":"Li","year":"2021","journal-title":"IEEE Trans. Evol. Comput."},{"key":"10.1016\/j.ins.2026.123539_bib0120","doi-asserted-by":"crossref","DOI":"10.1016\/j.asoc.2022.108606","article-title":"A two-archive model based evolutionary algorithm for multimodal multi-objective optimization problems","volume":"119","author":"Hu","year":"2022","journal-title":"Appl. Soft Comput."},{"key":"10.1016\/j.ins.2026.123539_bib0125","series-title":"Proceedings of the Genetic and Evolutionary Computation Conference Companion","first-page":"1898","article-title":"Incorporation of a decision space diversity maintenance mechanism into moea\/d for multi-modal multi-objective optimization","author":"Hu","year":"2018"},{"key":"10.1016\/j.ins.2026.123539_bib0130","series-title":"Parallel Problem Solving from Nature\u2013PPSN XV: 15th International Conference, Coimbra, Portugal, September 8\u201312, 2018, Proceedings, Part I 15","first-page":"249","article-title":"A decomposition-based evolutionary algorithm for multi-modal multi-objective optimization","author":"Tanabe","year":"2018"},{"key":"10.1016\/j.ins.2026.123539_bib0135","doi-asserted-by":"crossref","DOI":"10.1016\/j.knosys.2023.110398","article-title":"Large-scale multimodal multiobjective evolutionary optimization based on hybrid hierarchical clustering","volume":"266","author":"Ding","year":"2023","journal-title":"Knowl.-based Syst."},{"key":"10.1016\/j.ins.2026.123539_bib0140","series-title":"2023 5th International Conference on Data-Driven Optimization of Complex Systems (DOCS)","first-page":"1","article-title":"Adaptive merging and coordinated offspring generation in multi-population evolutionary multi-modal multi-objective optimization","author":"Wang","year":"2023"},{"issue":"6","key":"10.1016\/j.ins.2026.123539_bib0145","doi-asserted-by":"crossref","first-page":"1458","DOI":"10.1109\/JAS.2024.124377","article-title":"Multiobjective differential evolution for higher-dimensional multimodal multiobjective optimization","volume":"11","author":"Liang","year":"2024","journal-title":"IEEE\/CAA J. Autom. Sin."},{"issue":"2","key":"10.1016\/j.ins.2026.123539_bib0150","doi-asserted-by":"crossref","first-page":"474","DOI":"10.1109\/TETCI.2022.3221940","article-title":"Balancing convergence and diversity in objective and decision spaces for multimodal multi-objective optimization","volume":"7","author":"Ming","year":"2022","journal-title":"IEEE Trans. Emerg. Top. Comput. Intell."},{"issue":"6","key":"10.1016\/j.ins.2026.123539_bib0155","doi-asserted-by":"crossref","first-page":"4529","DOI":"10.1007\/s40747-021-00493-9","article-title":"Portfolio optimization model with uncertain returns based on prospect theory","volume":"8","author":"Li","year":"2022","journal-title":"Complex Intell. Syst."},{"key":"10.1016\/j.ins.2026.123539_bib0160","series-title":"Pattern Mining with Evolutionary Algorithms","volume":"vol. 16","author":"Ventura","year":"2016"},{"key":"10.1016\/j.ins.2026.123539_bib0165","series-title":"2024 China Automation Congress (CAC)","first-page":"7","article-title":"An IGD+ indicator-based metric for interactive evolutionary multi-objective optimization algorithms","author":"Tian","year":"2024"},{"issue":"7","key":"10.1016\/j.ins.2026.123539_bib0170","doi-asserted-by":"crossref","first-page":"3117","DOI":"10.3390\/app11073117","article-title":"Performance evaluation metrics for multi-objective evolutionary algorithms in search-based software engineering: systematic literature review","volume":"11","author":"Nuh","year":"2021","journal-title":"Appl. Sci."},{"key":"10.1016\/j.ins.2026.123539_bib0175","series-title":"2025 SICE Festival with Annual Conference (SICE FES)","first-page":"726","article-title":"Comparison of performance indicators for robust multi-objective optimization: a case study using evolutionary approaches","author":"Tanaka","year":"2025"},{"key":"10.1016\/j.ins.2026.123539_bib0180","doi-asserted-by":"crossref","DOI":"10.1016\/j.neucom.2024.127509","article-title":"Guided evolutionary neural architecture search with efficient performance estimation","volume":"584","author":"Lopes","year":"2024","journal-title":"Neurocomputing"},{"issue":"9","key":"10.1016\/j.ins.2026.123539_bib0185","doi-asserted-by":"crossref","first-page":"4428","DOI":"10.1109\/TAI.2024.3380590","article-title":"A multimodal multi-objective evolutionary algorithm for filter feature selection in multi-label classification","volume":"5","author":"Hancer","year":"2024","journal-title":"IEEE Trans. Artif. Intell."}],"container-title":["Information Sciences"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0020025526004706?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0020025526004706?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2026,7,4]],"date-time":"2026-07-04T11:05:51Z","timestamp":1783163151000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0020025526004706"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,9]]},"references-count":37,"alternative-id":["S0020025526004706"],"URL":"https:\/\/doi.org\/10.1016\/j.ins.2026.123539","relation":{},"ISSN":["0020-0255"],"issn-type":[{"value":"0020-0255","type":"print"}],"subject":[],"published":{"date-parts":[[2026,9]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"Exploring equivalent sparse optimal solutions of large-scale multi-modal multi-objective optimization problems using cooperative evolution","name":"articletitle","label":"Article Title"},{"value":"Information Sciences","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.ins.2026.123539","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"\u00a9 2026 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.","name":"copyright","label":"Copyright"}],"article-number":"123539"}}