{"id":"https://openalex.org/W1969955637","doi":"https://doi.org/10.1007/s00500-015-1648-y","title":"Objective reduction based on nonlinear correlation information entropy","display_name":"Objective reduction based on nonlinear correlation information entropy","publication_year":2015,"publication_date":"2015-03-16","ids":{"openalex":"https://openalex.org/W1969955637","doi":"https://doi.org/10.1007/s00500-015-1648-y","mag":"1969955637"},"language":"en","primary_location":{"id":"doi:10.1007/s00500-015-1648-y","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00500-015-1648-y","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00500-015-1648-y.pdf","source":{"id":"https://openalex.org/S65753830","display_name":"Soft Computing","issn_l":"1432-7643","issn":["1432-7643","1433-7479"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","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":"Soft Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s00500-015-1648-y.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5091324372","display_name":"Handing Wang","orcid":"https://orcid.org/0000-0002-4805-3780"},"institutions":[{"id":"https://openalex.org/I149594827","display_name":"Xidian University","ror":"https://ror.org/05s92vm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I149594827"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Handing Wang","raw_affiliation_strings":["Key Lab of Intelligent Perception and Image Understanding of Ministry of Education, International Research Center of Intelligent Perception and Computation, Xidian University, Xi\u2019an, 710071, China","Key Lab of Intelligent Perception and Image Understanding of Ministry of Education, International Research Center of Intelligent Perception and Computation, Xidian University, Xi'an, China 710071#TAB#"],"affiliations":[{"raw_affiliation_string":"Key Lab of Intelligent Perception and Image Understanding of Ministry of Education, International Research Center of Intelligent Perception and Computation, Xidian University, Xi\u2019an, 710071, China","institution_ids":["https://openalex.org/I149594827"]},{"raw_affiliation_string":"Key Lab of Intelligent Perception and Image Understanding of Ministry of Education, International Research Center of Intelligent Perception and Computation, Xidian University, Xi'an, China 710071#TAB#","institution_ids":["https://openalex.org/I149594827"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100635494","display_name":"Xin Yao","orcid":"https://orcid.org/0000-0001-8837-4442"},"institutions":[{"id":"https://openalex.org/I79619799","display_name":"University of Birmingham","ror":"https://ror.org/03angcq70","country_code":"GB","type":"education","lineage":["https://openalex.org/I79619799"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Xin Yao","raw_affiliation_strings":["CERCIA, School of Computer Science, The University of Birmingham, Birmingham, B15 2TT, UK","CERCIA, School of Computer Science, The University of Birmingham, Birmingham, UK B15 2TT"],"affiliations":[{"raw_affiliation_string":"CERCIA, School of Computer Science, The University of Birmingham, Birmingham, B15 2TT, UK","institution_ids":["https://openalex.org/I79619799"]},{"raw_affiliation_string":"CERCIA, School of Computer Science, The University of Birmingham, Birmingham, UK B15 2TT","institution_ids":["https://openalex.org/I79619799"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5091324372"],"corresponding_institution_ids":["https://openalex.org/I149594827"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2743,"currency":"EUR","value_usd":2958},"fwci":8.7324,"has_fulltext":true,"cited_by_count":80,"citation_normalized_percentile":{"value":0.9821479,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"20","issue":"6","first_page":"2393","last_page":"2407"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.9998000264167786,"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"}},{"id":"https://openalex.org/T10100","display_name":"Metaheuristic Optimization Algorithms Research","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/T11053","display_name":"Process Optimization and Integration","score":0.9948999881744385,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6829248666763306},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.6253998875617981},{"id":"https://openalex.org/keywords/evolutionary-algorithm","display_name":"Evolutionary algorithm","score":0.5878065228462219},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.5765787363052368},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5665820837020874},{"id":"https://openalex.org/keywords/redundancy","display_name":"Redundancy (engineering)","score":0.5594689249992371},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5493051409721375},{"id":"https://openalex.org/keywords/pareto-principle","display_name":"Pareto principle","score":0.5144555568695068},{"id":"https://openalex.org/keywords/multi-objective-optimization","display_name":"Multi-objective optimization","score":0.5102825164794922},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4210777282714844},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.41064387559890747}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6829248666763306},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.6253998875617981},{"id":"https://openalex.org/C159149176","wikidata":"https://www.wikidata.org/wiki/Q14489129","display_name":"Evolutionary algorithm","level":2,"score":0.5878065228462219},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.5765787363052368},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5665820837020874},{"id":"https://openalex.org/C152124472","wikidata":"https://www.wikidata.org/wiki/Q1204361","display_name":"Redundancy (engineering)","level":2,"score":0.5594689249992371},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5493051409721375},{"id":"https://openalex.org/C137635306","wikidata":"https://www.wikidata.org/wiki/Q182667","display_name":"Pareto principle","level":2,"score":0.5144555568695068},{"id":"https://openalex.org/C68781425","wikidata":"https://www.wikidata.org/wiki/Q2052203","display_name":"Multi-objective optimization","level":2,"score":0.5102825164794922},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4210777282714844},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41064387559890747},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1007/s00500-015-1648-y","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00500-015-1648-y","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00500-015-1648-y.pdf","source":{"id":"https://openalex.org/S65753830","display_name":"Soft Computing","issn_l":"1432-7643","issn":["1432-7643","1433-7479"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","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":"Soft Computing","raw_type":"journal-article"},{"id":"pmh:oai:alma.44SUR_INST:11139344310002346","is_oa":false,"landing_page_url":"https://openresearch.surrey.ac.uk/esploro/outputs/journalArticle/Objective-reduction-based-on-nonlinear-correlation/99514059402346","pdf_url":null,"source":{"id":"https://openalex.org/S4210197018","display_name":"View","issn_l":"2688-268X","issn":["2688-268X","2688-3988"],"is_oa":false,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"pmh:oai:epubs.surrey.ac.uk:839967","is_oa":false,"landing_page_url":"http://epubs.surrey.ac.uk/839967/","pdf_url":null,"source":{"id":"https://openalex.org/S4306400680","display_name":"Surrey Research Insight Open Access (The University of Surrey)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I28290843","host_organization_name":"University of Surrey","host_organization_lineage":["https://openalex.org/I28290843"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"},{"id":"pmh:oai:pure.atira.dk:Publications/86500222-19ba-40a7-9d15-7f949c504d75","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306402634","display_name":"University of Birmingham Research Portal (University of Birmingham)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79619799","host_organization_name":"University of Birmingham","host_organization_lineage":["https://openalex.org/I79619799"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""},{"id":"pmh:oai:pure.atira.dk:openaire_cris_publications/86500222-19ba-40a7-9d15-7f949c504d75","is_oa":true,"landing_page_url":"https://research.birmingham.ac.uk/en/publications/86500222-19ba-40a7-9d15-7f949c504d75","pdf_url":null,"source":{"id":"https://openalex.org/S4306402634","display_name":"University of Birmingham Research Portal (University of Birmingham)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79619799","host_organization_name":"University of Birmingham","host_organization_lineage":["https://openalex.org/I79619799"],"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":"Wang, H & Yao, X 2016, 'Objective reduction based on nonlinear correlation information entropy', Soft Computing, vol. 20, no. 6, pp. 2393\u20132407. https://doi.org/10.1007/s00500-015-1648-y","raw_type":"article"},{"id":"pmh:oai:pure.atira.dk:publications/86500222-19ba-40a7-9d15-7f949c504d75","is_oa":true,"landing_page_url":"https://research.birmingham.ac.uk/portal/en/publications/objective-reduction-based-on-nonlinear-correlation-information-entropy(86500222-19ba-40a7-9d15-7f949c504d75).html","pdf_url":null,"source":{"id":"https://openalex.org/S4306402634","display_name":"University of Birmingham Research Portal (University of Birmingham)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79619799","host_organization_name":"University of Birmingham","host_organization_lineage":["https://openalex.org/I79619799"],"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":"Wang , H & Yao , X 2016 , ' Objective reduction based on nonlinear correlation information entropy ' , Soft Computing , vol. 20 , no. 6 , pp. 2393\u20132407 . https://doi.org/10.1007/s00500-015-1648-y","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1007/s00500-015-1648-y","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00500-015-1648-y","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00500-015-1648-y.pdf","source":{"id":"https://openalex.org/S65753830","display_name":"Soft Computing","issn_l":"1432-7643","issn":["1432-7643","1433-7479"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","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":"Soft Computing","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1040076515","display_name":null,"funder_award_id":"B07048","funder_id":"https://openalex.org/F4320327912","funder_display_name":"Higher Education Discipline Innovation Project"},{"id":"https://openalex.org/G1121271761","display_name":null,"funder_award_id":"Program","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1231421488","display_name":null,"funder_award_id":"under","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G140970659","display_name":null,"funder_award_id":"B07048","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G1474490597","display_name":null,"funder_award_id":"111 Project","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1828425977","display_name":null,"funder_award_id":"973 Program","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1989053102","display_name":null,"funder_award_id":"2013CB329402","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G2087396116","display_name":null,"funder_award_id":"China","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G217745051","display_name":null,"funder_award_id":"91438201","funder_id":"https://openalex.org/F4320327912","funder_display_name":"Higher Education Discipline Innovation Project"},{"id":"https://openalex.org/G2559168354","display_name":null,"funder_award_id":"91438201","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3059515758","display_name":null,"funder_award_id":"91438103","funder_id":"https://openalex.org/F4320327912","funder_display_name":"Higher Education Discipline Innovation Project"},{"id":"https://openalex.org/G3143037312","display_name":null,"funder_award_id":"EP/J017515","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G3213048897","display_name":null,"funder_award_id":"B07048","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3317480652","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3330119427","display_name":null,"funder_award_id":"EPSRC","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G391238517","display_name":null,"funder_award_id":", and","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3931243179","display_name":null,"funder_award_id":"61329302","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4020255992","display_name":null,"funder_award_id":"Project","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G54130029","display_name":"Solving the Mystery of Humidity's Effect on Viability of Airborne Microorganisms","funder_award_id":"1438103","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5994120800","display_name":null,"funder_award_id":"Natural","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6194230105","display_name":null,"funder_award_id":"2013CB","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G6794522244","display_name":null,"funder_award_id":"EP/J017515/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G7129907147","display_name":null,"funder_award_id":"(973 Program","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G7146795300","display_name":null,"funder_award_id":"IRT1170","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G714743420","display_name":null,"funder_award_id":"2013CB329402","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7350208407","display_name":null,"funder_award_id":"91438103 and 91438201","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7510525274","display_name":null,"funder_award_id":"IRT1170","funder_id":"https://openalex.org/F4320327912","funder_display_name":"Higher Education Discipline Innovation Project"},{"id":"https://openalex.org/G7680429873","display_name":null,"funder_award_id":"IRT1170","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7752695167","display_name":null,"funder_award_id":"91438103","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8346632801","display_name":null,"funder_award_id":"247619","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8385396385","display_name":"DAASE: Dynamic Adaptive Automated Software Engineering","funder_award_id":"EP/J017515/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G848032724","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8870306392","display_name":null,"funder_award_id":"No.91438103","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G960584970","display_name":null,"funder_award_id":"P/J017515/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320327912","display_name":"Higher Education Discipline Innovation Project","ror":null},{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"},{"id":"https://openalex.org/F4320335777","display_name":"National Key Research and Development Program of China","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1969955637.pdf","grobid_xml":"https://content.openalex.org/works/W1969955637.grobid-xml"},"referenced_works_count":61,"referenced_works":["https://openalex.org/W266621144","https://openalex.org/W1503648602","https://openalex.org/W1519778441","https://openalex.org/W1527244075","https://openalex.org/W1574672657","https://openalex.org/W1575601714","https://openalex.org/W1588375755","https://openalex.org/W1593552206","https://openalex.org/W1595205399","https://openalex.org/W1595498733","https://openalex.org/W1605170913","https://openalex.org/W1605810911","https://openalex.org/W1607221389","https://openalex.org/W1842155679","https://openalex.org/W1846834309","https://openalex.org/W1968219458","https://openalex.org/W1987387046","https://openalex.org/W1989773356","https://openalex.org/W1995007314","https://openalex.org/W2008952656","https://openalex.org/W2013317277","https://openalex.org/W2018712218","https://openalex.org/W2021418037","https://openalex.org/W2021776358","https://openalex.org/W2022485595","https://openalex.org/W2025525377","https://openalex.org/W2027632059","https://openalex.org/W2034432063","https://openalex.org/W2034550602","https://openalex.org/W2042011228","https://openalex.org/W2074921660","https://openalex.org/W2081919627","https://openalex.org/W2083503884","https://openalex.org/W2089929273","https://openalex.org/W2090804142","https://openalex.org/W2094984589","https://openalex.org/W2101668304","https://openalex.org/W2103869224","https://openalex.org/W2108968575","https://openalex.org/W2116858902","https://openalex.org/W2121365620","https://openalex.org/W2126105956","https://openalex.org/W2135416068","https://openalex.org/W2143185749","https://openalex.org/W2143381319","https://openalex.org/W2144795949","https://openalex.org/W2146216407","https://openalex.org/W2147926599","https://openalex.org/W2148933727","https://openalex.org/W2151879717","https://openalex.org/W2154693991","https://openalex.org/W2158320871","https://openalex.org/W2159249098","https://openalex.org/W2162974421","https://openalex.org/W2165654898","https://openalex.org/W2166898117","https://openalex.org/W2210195496","https://openalex.org/W2222230941","https://openalex.org/W2325343629","https://openalex.org/W2432516117","https://openalex.org/W3016230452"],"related_works":["https://openalex.org/W2090178682","https://openalex.org/W4241467429","https://openalex.org/W2906115061","https://openalex.org/W2977596624","https://openalex.org/W2001591765","https://openalex.org/W2073147994","https://openalex.org/W2145877535","https://openalex.org/W2744730182","https://openalex.org/W2384474142","https://openalex.org/W2022485595"],"abstract_inverted_index":{"Abstract":[0],"It":[1,76],"is":[2],"hard":[3],"to":[4,52,81,94,115],"obtain":[5],"the":[6,23,27,33,54,78,83,96,101,117,124,137,153],"entire":[7],"solution":[8],"set":[9],"of":[10,22,30,35,56,103,119,126,139,155],"a":[11,64,91],"many-objective":[12],"optimization":[13],"problem":[14],"(MaOP)":[15],"by":[16,26],"multi-objective":[17],"evolutionary":[18],"algorithms":[19],"(MOEAs)":[20],"because":[21],"difficulties":[24,55],"brought":[25],"large":[28],"number":[29],"objectives.":[31],"However,":[32],"redundancy":[34],"objectives":[36,43,89,99],"exists":[37],"in":[38],"some":[39,57],"problems":[40],"with":[41],"correlated":[42],"(linearly":[44],"or":[45],"nonlinearly).":[46],"Objective":[47],"reduction":[48,67,121],"can":[49],"be":[50],"used":[51],"decrease":[53],"MaOPs.":[58],"In":[59],"this":[60],"paper,":[61],"we":[62],"propose":[63],"novel":[65],"objective":[66],"approach":[68,108,134],"based":[69],"on":[70,123,142],"nonlinear":[71,86],"correlation":[72,87],"information":[73],"entropy":[74],"(NCIE).":[75],"uses":[77],"NCIE":[79],"matrix":[80],"measure":[82],"linear":[84],"and":[85,90,112,145],"between":[88],"simple":[92],"method":[93,122],"select":[95],"most":[97],"conflicting":[98],"during":[100],"execution":[102],"MOEAs.":[104,157],"We":[105],"embed":[106],"our":[107,120,133],"into":[109],"both":[110,143],"Pareto-based":[111,140],"indicator-based":[113,156],"MOEAs":[114,141],"analyze":[116],"impact":[118],"performance":[125,138,154],"these":[127],"algorithms.":[128],"The":[129],"results":[130],"show":[131],"that":[132],"significantly":[135],"improves":[136],"reducible":[144],"irreducible":[146],"MaOPs,":[147],"but":[148],"does":[149],"not":[150],"much":[151],"help":[152]},"counts_by_year":[{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":8},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":10},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":15},{"year":2018,"cited_by_count":9},{"year":2017,"cited_by_count":10},{"year":2016,"cited_by_count":5},{"year":2014,"cited_by_count":1}],"updated_date":"2026-04-15T08:11:43.952461","created_date":"2025-10-10T00:00:00"}