{"id":"https://openalex.org/W3011115672","doi":"https://doi.org/10.1155/2020/8594727","title":"Evaluation Method of Multiobjective Functions\u2019 Combination and Its Application in Hydrological Model Evaluation","display_name":"Evaluation Method of Multiobjective Functions\u2019 Combination and Its Application in Hydrological Model Evaluation","publication_year":2020,"publication_date":"2020-03-10","ids":{"openalex":"https://openalex.org/W3011115672","doi":"https://doi.org/10.1155/2020/8594727","mag":"3011115672","pmid":"https://pubmed.ncbi.nlm.nih.gov/32256554"},"language":"en","primary_location":{"id":"doi:10.1155/2020/8594727","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2020/8594727","pdf_url":"https://downloads.hindawi.com/journals/cin/2020/8594727.pdf","source":{"id":"https://openalex.org/S72372694","display_name":"Computational Intelligence and Neuroscience","issn_l":"1687-5265","issn":["1687-5265","1687-5273"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Intelligence and Neuroscience","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://downloads.hindawi.com/journals/cin/2020/8594727.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5034940004","display_name":"Jiuyuan Huo","orcid":"https://orcid.org/0000-0003-2395-4133"},"institutions":[{"id":"https://openalex.org/I3133134087","display_name":"Lanzhou Jiaotong University","ror":"https://ror.org/03144pv92","country_code":"CN","type":"education","lineage":["https://openalex.org/I3133134087"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jiuyuan Huo","raw_affiliation_strings":["School of Electronic and Information Engineering, Lanzhou Jiaotong University, Lanzhou 730070, China"],"raw_orcid":"https://orcid.org/0000-0003-2395-4133","affiliations":[{"raw_affiliation_string":"School of Electronic and Information Engineering, Lanzhou Jiaotong University, Lanzhou 730070, China","institution_ids":["https://openalex.org/I3133134087"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100681604","display_name":"Liqun Liu","orcid":"https://orcid.org/0000-0002-8103-2308"},"institutions":[{"id":"https://openalex.org/I16295237","display_name":"Gansu Agricultural University","ror":"https://ror.org/05ym42410","country_code":"CN","type":"education","lineage":["https://openalex.org/I16295237"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Liqun Liu","raw_affiliation_strings":["College of Information Science and Technology, Gansu Agricultural University, Lanzhou 730070, China"],"raw_orcid":"https://orcid.org/0000-0002-8103-2308","affiliations":[{"raw_affiliation_string":"College of Information Science and Technology, Gansu Agricultural University, Lanzhou 730070, China","institution_ids":["https://openalex.org/I16295237"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5034940004"],"corresponding_institution_ids":["https://openalex.org/I3133134087"],"apc_list":{"value":2100,"currency":"USD","value_usd":2100},"apc_paid":{"value":2100,"currency":"USD","value_usd":2100},"fwci":1.1634,"has_fulltext":true,"cited_by_count":20,"citation_normalized_percentile":{"value":0.76700977,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"2020","issue":null,"first_page":"1","last_page":"23"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10330","display_name":"Hydrology and Watershed Management Studies","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2312","display_name":"Water Science and Technology"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10330","display_name":"Hydrology and Watershed Management Studies","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2312","display_name":"Water Science and Technology"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10969","display_name":"Water resources management and optimization","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/2212","display_name":"Ocean Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10930","display_name":"Flood Risk Assessment and Management","score":0.9957000017166138,"subfield":{"id":"https://openalex.org/subfields/2306","display_name":"Global and Planetary Change"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/multi-objective-optimization","display_name":"Multi-objective optimization","score":0.684114396572113},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6633316278457642},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6002185344696045},{"id":"https://openalex.org/keywords/topsis","display_name":"TOPSIS","score":0.525657057762146},{"id":"https://openalex.org/keywords/ideal-solution","display_name":"Ideal solution","score":0.4765118658542633},{"id":"https://openalex.org/keywords/pareto-principle","display_name":"Pareto principle","score":0.4703415036201477},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.27754491567611694},{"id":"https://openalex.org/keywords/operations-research","display_name":"Operations research","score":0.11692550778388977}],"concepts":[{"id":"https://openalex.org/C68781425","wikidata":"https://www.wikidata.org/wiki/Q2052203","display_name":"Multi-objective optimization","level":2,"score":0.684114396572113},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6633316278457642},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6002185344696045},{"id":"https://openalex.org/C51566761","wikidata":"https://www.wikidata.org/wiki/Q1235853","display_name":"TOPSIS","level":2,"score":0.525657057762146},{"id":"https://openalex.org/C89591040","wikidata":"https://www.wikidata.org/wiki/Q1779030","display_name":"Ideal solution","level":2,"score":0.4765118658542633},{"id":"https://openalex.org/C137635306","wikidata":"https://www.wikidata.org/wiki/Q182667","display_name":"Pareto principle","level":2,"score":0.4703415036201477},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.27754491567611694},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.11692550778388977},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D019277","descriptor_name":"Entropy","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D019277","descriptor_name":"Entropy","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D019277","descriptor_name":"Entropy","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D062070","descriptor_name":"Hydrology","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D062070","descriptor_name":"Hydrology","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D062070","descriptor_name":"Hydrology","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false}],"locations_count":4,"locations":[{"id":"doi:10.1155/2020/8594727","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2020/8594727","pdf_url":"https://downloads.hindawi.com/journals/cin/2020/8594727.pdf","source":{"id":"https://openalex.org/S72372694","display_name":"Computational Intelligence and Neuroscience","issn_l":"1687-5265","issn":["1687-5265","1687-5273"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Intelligence and Neuroscience","raw_type":"journal-article"},{"id":"pmid:32256554","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/32256554","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational intelligence and neuroscience","raw_type":null},{"id":"pmh:oai:doaj.org/article:14a32e7168f940ab81e32d1a80fbfd36","is_oa":false,"landing_page_url":"https://doaj.org/article/14a32e7168f940ab81e32d1a80fbfd36","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Computational Intelligence and Neuroscience, Vol 2020 (2020)","raw_type":"article"},{"id":"pmh:oai:europepmc.org:6065139","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/7085873","pdf_url":null,"source":{"id":"https://openalex.org/S4306400806","display_name":"Europe PMC (PubMed Central)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1303153112","host_organization_name":"European Bioinformatics Institute","host_organization_lineage":["https://openalex.org/I1303153112"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Text"}],"best_oa_location":{"id":"doi:10.1155/2020/8594727","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2020/8594727","pdf_url":"https://downloads.hindawi.com/journals/cin/2020/8594727.pdf","source":{"id":"https://openalex.org/S72372694","display_name":"Computational Intelligence and Neuroscience","issn_l":"1687-5265","issn":["1687-5265","1687-5273"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Intelligence and Neuroscience","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1012842943","display_name":null,"funder_award_id":"2019-RC-14","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2954899063","display_name":null,"funder_award_id":"61862038","funder_id":"https://openalex.org/F4320325566","funder_display_name":"Lanzhou Jiaotong University"},{"id":"https://openalex.org/G5368754403","display_name":"\u5bd2\u65f1\u533a\u91ce\u5916\u89c2\u6d4b\u4eea\u5668\u8de8\u57df\u7ec4\u7f51\u5173\u952e\u6280\u672f\u53ca\u5e94\u7528\u7814\u7a76","funder_award_id":"61862038","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7808270310","display_name":null,"funder_award_id":"61462058","funder_id":"https://openalex.org/F4320325566","funder_display_name":"Lanzhou Jiaotong University"},{"id":"https://openalex.org/G817701803","display_name":null,"funder_award_id":"61462058","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8414554731","display_name":null,"funder_award_id":"2019-RC-14","funder_id":"https://openalex.org/F4320325566","funder_display_name":"Lanzhou Jiaotong University"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320325566","display_name":"Lanzhou Jiaotong University","ror":"https://ror.org/03144pv92"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3011115672.pdf","grobid_xml":"https://content.openalex.org/works/W3011115672.grobid-xml"},"referenced_works_count":39,"referenced_works":["https://openalex.org/W1978909328","https://openalex.org/W1983182219","https://openalex.org/W1986813400","https://openalex.org/W2009524658","https://openalex.org/W2016443842","https://openalex.org/W2024775218","https://openalex.org/W2033201006","https://openalex.org/W2033904036","https://openalex.org/W2036510251","https://openalex.org/W2040117584","https://openalex.org/W2043411162","https://openalex.org/W2045535682","https://openalex.org/W2053900989","https://openalex.org/W2064043909","https://openalex.org/W2082788231","https://openalex.org/W2086167429","https://openalex.org/W2090137585","https://openalex.org/W2125502051","https://openalex.org/W2136328522","https://openalex.org/W2145421078","https://openalex.org/W2146510283","https://openalex.org/W2147746661","https://openalex.org/W2162944439","https://openalex.org/W2165171393","https://openalex.org/W2166028204","https://openalex.org/W2168458287","https://openalex.org/W2321214771","https://openalex.org/W2345524994","https://openalex.org/W2543897318","https://openalex.org/W2585041296","https://openalex.org/W2591498631","https://openalex.org/W2737153799","https://openalex.org/W2742423835","https://openalex.org/W2767154044","https://openalex.org/W2790418674","https://openalex.org/W2791238298","https://openalex.org/W2801005446","https://openalex.org/W2894532514","https://openalex.org/W2921981915"],"related_works":["https://openalex.org/W2775045317","https://openalex.org/W2612149696","https://openalex.org/W2347675019","https://openalex.org/W2367947563","https://openalex.org/W2890644467","https://openalex.org/W2293394021","https://openalex.org/W4387430003","https://openalex.org/W3135485754","https://openalex.org/W1990029659","https://openalex.org/W2389757528"],"abstract_inverted_index":{"Parameter":[0],"optimization":[1,14,27,60,136,150,205],"of":[2,20,26,40,44,53,126,129,151,170,207,256,275,313,316],"a":[3,8,18,118,165,182],"hydrological":[4,31,67,152,176,195,210,291,329],"model":[5,32,58,177,196,211],"is":[6,33,138,173,190,244,305],"intrinsically":[7],"high":[9],"dimensional,":[10],"nonlinear,":[11],"multivariable,":[12],"combinatorial":[13],"problem":[15,206],"which":[16,103,181],"involves":[17],"set":[19],"different":[21,130,314],"objectives.":[22],"Currently,":[23],"the":[24,30,50,66,80,86,98,106,114,124,127,135,157,194,199,208,215,223,228,241,248,261,272,294,311],"assessment":[25],"results":[28,137,269],"for":[29,57,84,123,175,218,230,289,328],"usually":[34],"made":[35],"through":[36],"calculations":[37],"and":[38,46,74,78,112,120,159,167,197,259,282,309,319,324],"comparisons":[39],"objective":[41,54,72,81,100,131,145,171,257,264,276,317],"function":[42,82,101,132],"values":[43],"simulated":[45],"observed":[47],"variables.":[48],"Thus,":[49],"proper":[51,99],"selection":[52,166],"functions'":[55,265],"combination":[56,102,273],"parameter":[59,178,204,287],"has":[61,89,300],"an":[62],"important":[63],"impact":[64],"on":[65,134,240],"forecasting.":[68,330],"There":[69],"exist":[70],"various":[71,109,144],"functions,":[73],"how":[75],"to":[76,96,148,161,192,235,246,252,307],"analyze":[77,308],"evaluate":[79,310],"combinations":[83,133,255,315],"selecting":[85],"optimal":[87,201,250,263],"parameters":[88,149],"not":[90],"been":[91,301],"studied":[92],"in":[93,180,222,293],"depth.":[94],"Therefore,":[95],"select":[97],"can":[104,278,320],"balance":[105],"trade-off":[107],"among":[108],"design":[110],"objectives":[111],"achieve":[113],"overall":[115],"best":[116],"benefit,":[117],"simple":[119],"convenient":[121],"framework":[122,169],"comparison":[125],"influence":[128],"urgently":[139],"needed.":[140],"In":[141],"this":[142],"paper,":[143],"functions":[146,172,258,277,318],"related":[147],"models":[153],"were":[154],"collected":[155],"from":[156],"literature":[158],"constructed":[160],"nine":[162],"combinations.":[163],"Then,":[164],"evaluation":[168],"proposed":[174],"optimization,":[179],"multiobjective":[183],"artificial":[184],"bee":[185],"colony":[186],"algorithm":[187],"named":[188],"RMOABC":[189],"employed":[191],"optimize":[193],"obtain":[198,260],"Pareto":[200,249],"solutions.":[202],"The":[203,267,297],"Xinanjiang":[209],"was":[212],"taken":[213],"as":[214],"application":[216],"case":[217],"long-term":[219],"runoff":[220],"prediction":[221],"Heihe":[224],"River":[225],"basin.":[226],"Finally,":[227],"technique":[229],"order":[231],"preference":[232],"by":[233],"similarity":[234],"ideal":[236],"solution":[237],"(TOPSIS)":[238],"based":[239],"entropy":[242],"theory":[243],"adapted":[245],"sort":[247],"solutions":[251],"compare":[253],"these":[254],"comprehensive":[262,281,323],"combination.":[266],"experiments":[268],"demonstrate":[270],"that":[271,303],"2":[274],"provide":[279,321],"more":[280,322],"reliable":[283],"dominant":[284],"options":[285],"(i.e.,":[286],"sets)":[288],"practical":[290],"forecasting":[292],"study":[295],"area.":[296],"entropy-based":[298],"method":[299],"proved":[302],"it":[304],"effective":[306],"performance":[312],"impersonal":[325],"decision":[326],"support":[327]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":2}],"updated_date":"2026-06-06T09:05:17.133730","created_date":"2025-10-10T00:00:00"}
