{"id":"https://openalex.org/W4384406773","doi":"https://doi.org/10.1007/s44196-023-00289-4","title":"Hierarchical Manta Ray Foraging Optimization with Weighted Fitness-Distance Balance Selection","display_name":"Hierarchical Manta Ray Foraging Optimization with Weighted Fitness-Distance Balance Selection","publication_year":2023,"publication_date":"2023-07-15","ids":{"openalex":"https://openalex.org/W4384406773","doi":"https://doi.org/10.1007/s44196-023-00289-4"},"language":"en","primary_location":{"id":"doi:10.1007/s44196-023-00289-4","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s44196-023-00289-4","pdf_url":"https://link.springer.com/content/pdf/10.1007/s44196-023-00289-4.pdf","source":{"id":"https://openalex.org/S190680769","display_name":"International Journal of Computational Intelligence Systems","issn_l":"1875-6883","issn":["1875-6883","1875-6891"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computational Intelligence Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://link.springer.com/content/pdf/10.1007/s44196-023-00289-4.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5029367575","display_name":"Zhentao Tang","orcid":"https://orcid.org/0000-0002-2481-4119"},"institutions":[{"id":"https://openalex.org/I4210101883","display_name":"Jiangsu Agri-animal Husbandry Vocational College","ror":"https://ror.org/017abdw23","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210101883"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhentao Tang","raw_affiliation_strings":["Jiangsu Agri-animal Husbandry Vocational College, Taizhou, 225300, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Jiangsu Agri-animal Husbandry Vocational College, Taizhou, 225300, China","institution_ids":["https://openalex.org/I4210101883"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100626240","display_name":"Kaiyu Wang","orcid":"https://orcid.org/0000-0003-1474-8936"},"institutions":[{"id":"https://openalex.org/I42766147","display_name":"University of Toyama","ror":"https://ror.org/0445phv87","country_code":"JP","type":"education","lineage":["https://openalex.org/I42766147"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Kaiyu Wang","raw_affiliation_strings":["Faculty of Engineering, University of Toyama, Toyama, 930-8555, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Engineering, University of Toyama, Toyama, 930-8555, Japan","institution_ids":["https://openalex.org/I42766147"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073889784","display_name":"Sichen Tao","orcid":"https://orcid.org/0000-0001-9858-4208"},"institutions":[{"id":"https://openalex.org/I42766147","display_name":"University of Toyama","ror":"https://ror.org/0445phv87","country_code":"JP","type":"education","lineage":["https://openalex.org/I42766147"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Sichen Tao","raw_affiliation_strings":["Faculty of Engineering, University of Toyama, Toyama, 930-8555, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Engineering, University of Toyama, Toyama, 930-8555, Japan","institution_ids":["https://openalex.org/I42766147"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042276100","display_name":"Yuki Todo","orcid":"https://orcid.org/0000-0001-7379-1374"},"institutions":[{"id":"https://openalex.org/I10091056","display_name":"Kanazawa University","ror":"https://ror.org/02hwp6a56","country_code":"JP","type":"education","lineage":["https://openalex.org/I10091056"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Yuki Todo","raw_affiliation_strings":["Faculty of Electrical, Information and Communication Engineering, Kanazawa University, Kanazawa, 9201192, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Electrical, Information and Communication Engineering, Kanazawa University, Kanazawa, 9201192, Japan","institution_ids":["https://openalex.org/I10091056"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023801960","display_name":"Rong\u2010Long Wang","orcid":"https://orcid.org/0009-0004-6354-3632"},"institutions":[{"id":"https://openalex.org/I111966504","display_name":"University of Fukui","ror":"https://ror.org/00msqp585","country_code":"JP","type":"education","lineage":["https://openalex.org/I111966504"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Rong-Long Wang","raw_affiliation_strings":["Faculty of Engineering, University of Fukui, Fukui, 910-8507, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Engineering, University of Fukui, Fukui, 910-8507, Japan","institution_ids":["https://openalex.org/I111966504"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5010245958","display_name":"Shangce Gao","orcid":"https://orcid.org/0000-0001-5042-3261"},"institutions":[{"id":"https://openalex.org/I42766147","display_name":"University of Toyama","ror":"https://ror.org/0445phv87","country_code":"JP","type":"education","lineage":["https://openalex.org/I42766147"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Shangce Gao","raw_affiliation_strings":["Faculty of Engineering, University of Toyama, Toyama, 930-8555, Japan"],"raw_orcid":"https://orcid.org/0000-0001-5042-3261","affiliations":[{"raw_affiliation_string":"Faculty of Engineering, University of Toyama, Toyama, 930-8555, Japan","institution_ids":["https://openalex.org/I42766147"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5010245958"],"corresponding_institution_ids":["https://openalex.org/I42766147"],"apc_list":{"value":1390,"currency":"GBP","value_usd":1704},"apc_paid":{"value":1390,"currency":"GBP","value_usd":1704},"fwci":3.092,"has_fulltext":true,"cited_by_count":19,"citation_normalized_percentile":{"value":0.93120188,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"16","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11975","display_name":"Evolutionary Algorithms and Applications","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.9968000054359436,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/selection","display_name":"Selection (genetic algorithm)","score":0.7151660919189453},{"id":"https://openalex.org/keywords/foraging","display_name":"Foraging","score":0.698441743850708},{"id":"https://openalex.org/keywords/local-optimum","display_name":"Local optimum","score":0.6357338428497314},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.6231945753097534},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5905638337135315},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5424472093582153},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.432623028755188},{"id":"https://openalex.org/keywords/evolutionary-algorithm","display_name":"Evolutionary algorithm","score":0.425836980342865},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.31245505809783936},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.28778737783432007},{"id":"https://openalex.org/keywords/ecology","display_name":"Ecology","score":0.10625669360160828},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.08174729347229004},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.0761493444442749}],"concepts":[{"id":"https://openalex.org/C81917197","wikidata":"https://www.wikidata.org/wiki/Q628760","display_name":"Selection (genetic algorithm)","level":2,"score":0.7151660919189453},{"id":"https://openalex.org/C165287380","wikidata":"https://www.wikidata.org/wiki/Q2916569","display_name":"Foraging","level":2,"score":0.698441743850708},{"id":"https://openalex.org/C141934464","wikidata":"https://www.wikidata.org/wiki/Q3305386","display_name":"Local optimum","level":2,"score":0.6357338428497314},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.6231945753097534},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5905638337135315},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5424472093582153},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.432623028755188},{"id":"https://openalex.org/C159149176","wikidata":"https://www.wikidata.org/wiki/Q14489129","display_name":"Evolutionary algorithm","level":2,"score":0.425836980342865},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.31245505809783936},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.28778737783432007},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.10625669360160828},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.08174729347229004},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0761493444442749},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.0},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s44196-023-00289-4","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s44196-023-00289-4","pdf_url":"https://link.springer.com/content/pdf/10.1007/s44196-023-00289-4.pdf","source":{"id":"https://openalex.org/S190680769","display_name":"International Journal of Computational Intelligence Systems","issn_l":"1875-6883","issn":["1875-6883","1875-6891"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computational Intelligence Systems","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:44d35e6f47334637b4232269741db2c2","is_oa":true,"landing_page_url":"https://doaj.org/article/44d35e6f47334637b4232269741db2c2","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International Journal of Computational Intelligence Systems, Vol 16, Iss 1, Pp 1-30 (2023)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1007/s44196-023-00289-4","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s44196-023-00289-4","pdf_url":"https://link.springer.com/content/pdf/10.1007/s44196-023-00289-4.pdf","source":{"id":"https://openalex.org/S190680769","display_name":"International Journal of Computational Intelligence Systems","issn_l":"1875-6883","issn":["1875-6883","1875-6891"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computational Intelligence Systems","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1472198453","display_name":null,"funder_award_id":"JPMJSP2145","funder_id":"https://openalex.org/F4320334789","funder_display_name":"Japan Science and Technology Agency"},{"id":"https://openalex.org/G1866405319","display_name":null,"funder_award_id":"JP22H03643","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"},{"id":"https://openalex.org/G678656017","display_name":null,"funder_award_id":"JPMJFS2115","funder_id":"https://openalex.org/F4320334789","funder_display_name":"Japan Science and Technology Agency"}],"funders":[{"id":"https://openalex.org/F4320334764","display_name":"Japan Society for the Promotion of Science","ror":"https://ror.org/00hhkn466"},{"id":"https://openalex.org/F4320334789","display_name":"Japan Science and Technology Agency","ror":"https://ror.org/00097mb19"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4384406773.pdf"},"referenced_works_count":82,"referenced_works":["https://openalex.org/W137575789","https://openalex.org/W137929096","https://openalex.org/W1179686678","https://openalex.org/W1522440472","https://openalex.org/W1551186452","https://openalex.org/W1576660662","https://openalex.org/W1736029283","https://openalex.org/W1792666317","https://openalex.org/W1955291487","https://openalex.org/W2004906124","https://openalex.org/W2022453756","https://openalex.org/W2024518622","https://openalex.org/W2047505096","https://openalex.org/W2060621627","https://openalex.org/W2061438946","https://openalex.org/W2069116252","https://openalex.org/W2072955302","https://openalex.org/W2088609193","https://openalex.org/W2095532426","https://openalex.org/W2118044993","https://openalex.org/W2121365620","https://openalex.org/W2142198388","https://openalex.org/W2151554678","https://openalex.org/W2154441736","https://openalex.org/W2156773695","https://openalex.org/W2161323541","https://openalex.org/W2165466912","https://openalex.org/W2169934304","https://openalex.org/W2290883490","https://openalex.org/W2343835401","https://openalex.org/W2399865262","https://openalex.org/W2403106285","https://openalex.org/W2410374249","https://openalex.org/W2465078833","https://openalex.org/W2518055200","https://openalex.org/W2542691202","https://openalex.org/W2568426016","https://openalex.org/W2573137292","https://openalex.org/W2617638177","https://openalex.org/W2747274070","https://openalex.org/W2791472415","https://openalex.org/W2803360343","https://openalex.org/W2914717758","https://openalex.org/W2962182762","https://openalex.org/W2976560662","https://openalex.org/W2982453621","https://openalex.org/W2984153401","https://openalex.org/W2990723369","https://openalex.org/W3008773008","https://openalex.org/W3030709604","https://openalex.org/W3046401973","https://openalex.org/W3047212778","https://openalex.org/W3092123241","https://openalex.org/W3094320595","https://openalex.org/W3104621635","https://openalex.org/W3111362875","https://openalex.org/W3111880395","https://openalex.org/W3115094144","https://openalex.org/W3115742705","https://openalex.org/W3117237158","https://openalex.org/W3119965053","https://openalex.org/W3120349973","https://openalex.org/W3121642757","https://openalex.org/W3125051303","https://openalex.org/W3129259175","https://openalex.org/W3135934252","https://openalex.org/W3157429934","https://openalex.org/W3158217005","https://openalex.org/W3184078521","https://openalex.org/W3198712058","https://openalex.org/W3204868505","https://openalex.org/W3205959825","https://openalex.org/W3212797097","https://openalex.org/W4200105493","https://openalex.org/W4205855876","https://openalex.org/W4211130072","https://openalex.org/W4255726527","https://openalex.org/W4283579831","https://openalex.org/W4285123209","https://openalex.org/W4285795717","https://openalex.org/W4298002913","https://openalex.org/W4309531266"],"related_works":["https://openalex.org/W4200081355","https://openalex.org/W3081944365","https://openalex.org/W2135179174","https://openalex.org/W1932300341","https://openalex.org/W2294784349","https://openalex.org/W2890381285","https://openalex.org/W1979659965","https://openalex.org/W2136432055","https://openalex.org/W301102721","https://openalex.org/W2048910501"],"abstract_inverted_index":{"Abstract":[0],"Manta":[1],"ray":[2,124],"foraging":[3,125],"optimization":[4,126],"(MRFO)":[5],"tends":[6],"to":[7,30,58,77,100,113,154,175],"get":[8],"trapped":[9],"in":[10,45,71,82],"local":[11,101],"optima":[12],"as":[13,28],"it":[14,195],"relies":[15],"on":[16,96,137,140,165],"the":[17,21,25,33,60,64,75,86,110,147,150,159,166,188,204,214],"direction":[18],"provided":[19],"by":[20,212],"previous":[22],"individual":[23,27],"and":[24,53,117,158,187],"best":[26],"guidance":[29],"search":[31,78],"for":[32,79,199],"optimal":[34,80],"solution.":[35],"As":[36],"enriching":[37],"population":[38,61,76,215],"diversity":[39,62,87,116,216],"can":[40,98],"effectively":[41],"solve":[42],"this":[43,46,207],"problem,":[44],"paper,":[47],"we":[48],"introduce":[49],"a":[50,106,196],"hierarchical":[51,67,122],"structure":[52,68],"weighted":[54,128],"fitness-distance":[55,129],"balance":[56,130],"selection":[57,93,111,115,131],"improve":[59],"of":[63,74,88,149,169,173,206,217],"algorithm.":[65],"The":[66,171],"allows":[69],"individuals":[70],"different":[72,83],"groups":[73],"solutions":[81],"places,":[84],"expanding":[85],"solutions.":[89,102,120],"In":[90],"MRFO,":[91],"greedy":[92],"based":[94],"solely":[95],"fitness":[97],"lead":[99],"We":[103],"innovatively":[104],"incorporate":[105],"distance":[107],"metric":[108],"into":[109],"strategy":[112],"increase":[114],"find":[118],"better":[119],"A":[121],"manta":[123],"with":[127,179],"(HMRFO)":[132],"is":[133,191,209],"proposed.":[134],"Experimental":[135],"results":[136],"IEEE":[138],"Congress":[139],"Evolutionary":[141],"Computation":[142],"2017":[143],"(CEC2017)":[144],"functions":[145],"show":[146],"effectiveness":[148,205],"proposed":[151,160],"method":[152,161,208],"compared":[153],"seven":[155],"competitive":[156],"algorithms,":[157],"has":[162,182],"little":[163],"effect":[164],"algorithm":[167],"complexity":[168],"MRFO.":[170],"application":[172],"HMRFO":[174],"optimize":[176],"real-world":[177],"problems":[178],"large":[180],"dimensions":[181],"also":[183],"obtained":[184],"good":[185],"results,":[186],"computational":[189],"time":[190],"very":[192,200],"short,":[193],"making":[194],"powerful":[197],"alternative":[198],"high-dimensional":[201],"problems.":[202],"Finally,":[203],"further":[210],"verified":[211],"analyzing":[213],"HMRFO.":[218]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":11},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2}],"updated_date":"2026-06-13T06:13:01.061226","created_date":"2025-10-10T00:00:00"}