{"id":"https://openalex.org/W3163677864","doi":"https://doi.org/10.1109/tevc.2021.3080683","title":"Set Theory-Based Operator Design in Evolutionary Algorithms for Solving Knapsack Problems","display_name":"Set Theory-Based Operator Design in Evolutionary Algorithms for Solving Knapsack Problems","publication_year":2021,"publication_date":"2021-05-17","ids":{"openalex":"https://openalex.org/W3163677864","doi":"https://doi.org/10.1109/tevc.2021.3080683","mag":"3163677864"},"language":"en","primary_location":{"id":"doi:10.1109/tevc.2021.3080683","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tevc.2021.3080683","pdf_url":null,"source":{"id":"https://openalex.org/S93787993","display_name":"IEEE Transactions on Evolutionary Computation","issn_l":"1089-778X","issn":["1089-778X","1941-0026"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Evolutionary Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5114377922","display_name":"Ran Wang","orcid":"https://orcid.org/0000-0002-2586-5604"},"institutions":[{"id":"https://openalex.org/I180726961","display_name":"Shenzhen University","ror":"https://ror.org/01vy4gh70","country_code":"CN","type":"education","lineage":["https://openalex.org/I180726961"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ran Wang","raw_affiliation_strings":["College of Mathematics and Statistics, Shenzhen Key Laboratory of Advanced Machine Learning and Applications, and Guangdong Key Laboratory of Intelligent Information Processing, Shenzhen University, Shenzhen, China"],"raw_orcid":"https://orcid.org/0000-0002-2586-5604","affiliations":[{"raw_affiliation_string":"College of Mathematics and Statistics, Shenzhen Key Laboratory of Advanced Machine Learning and Applications, and Guangdong Key Laboratory of Intelligent Information Processing, Shenzhen University, Shenzhen, China","institution_ids":["https://openalex.org/I180726961"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101854253","display_name":"Zichao Zhang","orcid":"https://orcid.org/0000-0003-2137-563X"},"institutions":[{"id":"https://openalex.org/I180726961","display_name":"Shenzhen University","ror":"https://ror.org/01vy4gh70","country_code":"CN","type":"education","lineage":["https://openalex.org/I180726961"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zichao Zhang","raw_affiliation_strings":["College of Mathematics and Statistics, Shenzhen Key Laboratory of Advanced Machine Learning and Applications, and Guangdong Key Laboratory of Intelligent Information Processing, Shenzhen University, Shenzhen, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics and Statistics, Shenzhen Key Laboratory of Advanced Machine Learning and Applications, and Guangdong Key Laboratory of Intelligent Information Processing, Shenzhen University, Shenzhen, China","institution_ids":["https://openalex.org/I180726961"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I180726961"],"apc_list":null,"apc_paid":null,"fwci":1.6378,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.86223626,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"25","issue":"6","first_page":"1133","last_page":"1147"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9973999857902527,"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/T12176","display_name":"Optimization and Packing Problems","score":0.9965000152587891,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing 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/knapsack-problem","display_name":"Knapsack problem","score":0.9205227494239807},{"id":"https://openalex.org/keywords/evolutionary-algorithm","display_name":"Evolutionary algorithm","score":0.6649795770645142},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.6132908463478088},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.6031700968742371},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5935260057449341},{"id":"https://openalex.org/keywords/element","display_name":"Element (criminal law)","score":0.5361077785491943},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.5326207876205444},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5184609293937683},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5180354714393616},{"id":"https://openalex.org/keywords/solution-set","display_name":"Solution set","score":0.4899992048740387},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.4766139090061188},{"id":"https://openalex.org/keywords/continuous-knapsack-problem","display_name":"Continuous knapsack problem","score":0.4711146354675293},{"id":"https://openalex.org/keywords/evolutionary-computation","display_name":"Evolutionary computation","score":0.44884029030799866},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4161372780799866}],"concepts":[{"id":"https://openalex.org/C113138325","wikidata":"https://www.wikidata.org/wiki/Q864457","display_name":"Knapsack problem","level":2,"score":0.9205227494239807},{"id":"https://openalex.org/C159149176","wikidata":"https://www.wikidata.org/wiki/Q14489129","display_name":"Evolutionary algorithm","level":2,"score":0.6649795770645142},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.6132908463478088},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.6031700968742371},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5935260057449341},{"id":"https://openalex.org/C200288055","wikidata":"https://www.wikidata.org/wiki/Q2621792","display_name":"Element (criminal law)","level":2,"score":0.5361077785491943},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.5326207876205444},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5184609293937683},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5180354714393616},{"id":"https://openalex.org/C60033838","wikidata":"https://www.wikidata.org/wiki/Q1751685","display_name":"Solution set","level":3,"score":0.4899992048740387},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.4766139090061188},{"id":"https://openalex.org/C94569963","wikidata":"https://www.wikidata.org/wiki/Q5165487","display_name":"Continuous knapsack problem","level":3,"score":0.4711146354675293},{"id":"https://openalex.org/C105902424","wikidata":"https://www.wikidata.org/wiki/Q1197129","display_name":"Evolutionary computation","level":2,"score":0.44884029030799866},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4161372780799866},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tevc.2021.3080683","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tevc.2021.3080683","pdf_url":null,"source":{"id":"https://openalex.org/S93787993","display_name":"IEEE Transactions on Evolutionary Computation","issn_l":"1089-778X","issn":["1089-778X","1941-0026"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Evolutionary Computation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1795570172","display_name":null,"funder_award_id":"2020B1515310008","funder_id":"https://openalex.org/F4320321921","funder_display_name":"Natural Science Foundation of Guangdong Province"},{"id":"https://openalex.org/G4835894923","display_name":"\u591a\u6807\u8bb0\u95ee\u9898\u7684\u4e0d\u786e\u5b9a\u6027\u5206\u6790\u4e0e\u4e3b\u52a8\u5b66\u4e60\u65b9\u6cd5\u7814\u7a76","funder_award_id":"61772344","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6813436119","display_name":null,"funder_award_id":"61732011","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321921","display_name":"Natural Science Foundation of Guangdong Province","ror":null},{"id":"https://openalex.org/F4320325571","display_name":"Shenzhen University","ror":"https://ror.org/01vy4gh70"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":45,"referenced_works":["https://openalex.org/W98969548","https://openalex.org/W883434633","https://openalex.org/W1572618823","https://openalex.org/W1607126422","https://openalex.org/W1997104952","https://openalex.org/W2001979953","https://openalex.org/W2010267345","https://openalex.org/W2042136196","https://openalex.org/W2060564664","https://openalex.org/W2061438946","https://openalex.org/W2066671865","https://openalex.org/W2067659322","https://openalex.org/W2079505110","https://openalex.org/W2098538954","https://openalex.org/W2098677716","https://openalex.org/W2100765697","https://openalex.org/W2102846492","https://openalex.org/W2116348845","https://openalex.org/W2119980860","https://openalex.org/W2125213524","https://openalex.org/W2145255833","https://openalex.org/W2184455376","https://openalex.org/W2232317135","https://openalex.org/W2333257440","https://openalex.org/W2345046791","https://openalex.org/W2345112857","https://openalex.org/W2480227031","https://openalex.org/W2725772765","https://openalex.org/W2730253853","https://openalex.org/W2738900493","https://openalex.org/W2885908482","https://openalex.org/W2890029885","https://openalex.org/W2896347400","https://openalex.org/W2897554731","https://openalex.org/W2900180896","https://openalex.org/W2946739419","https://openalex.org/W2954266122","https://openalex.org/W2972752081","https://openalex.org/W3001126316","https://openalex.org/W3043752008","https://openalex.org/W4210500228","https://openalex.org/W4236127247","https://openalex.org/W4299796063","https://openalex.org/W6646048440","https://openalex.org/W6674961934"],"related_works":["https://openalex.org/W2950087506","https://openalex.org/W2378624020","https://openalex.org/W2131535703","https://openalex.org/W1494709471","https://openalex.org/W4294811713","https://openalex.org/W3103982436","https://openalex.org/W3016148837","https://openalex.org/W3083037111","https://openalex.org/W2100183008","https://openalex.org/W2162974421"],"abstract_inverted_index":{"Knapsack":[0],"problems":[1,7],"(KPs)":[2],"are":[3,172],"famous":[4],"combinatorial":[5],"optimization":[6],"that":[8,52,142],"can":[9,108],"be":[10,109],"solved":[11],"by":[12],"evolutionary":[13],"algorithms":[14],"(EAs).":[15],"In":[16,122],"such":[17],"methods,":[18],"a":[19,55,60,66,73,114],"key":[20],"step":[21],"is":[22,58,63,90],"to":[23,49,64,72,82,91,99],"produce":[24],"new":[25,39,115,127,168],"solutions":[26,134],"for":[27,129,161,170],"each":[28],"generation.":[29],"However,":[30],"traditional":[31],"EAs":[32],"cannot":[33],"guarantee":[34],"the":[35,38,46,50,83,96,103,118,130,140,143,151,159,163,177,180],"feasibility":[36],"of":[37,45,95,102,133,179],"solutions,":[40],"causing":[41],"ineffectiveness":[42],"or":[43],"inefficiency":[44],"methods.":[47],"Owing":[48],"fact":[51],"directly":[53],"generating":[54],"feasible":[56,74,104],"solution":[57,68,97,105],"difficult,":[59],"practical":[61],"way":[62],"generate":[65],"potential":[67],"and":[69,111,138,154],"transform":[70,80],"it":[71,81],"one":[75],"if":[76],"necessary;":[77],"more":[78],"ideally,":[79],"local-optimal":[84],"solution.":[85],"Essentially,":[86],"this":[87,123],"transforming":[88,131,144,164],"process":[89,132,145],"map":[92],"an":[93,100],"element":[94,101],"set":[98,119],"set,":[106],"which":[107],"analyzed":[110],"optimized":[112],"from":[113],"perspective,":[116],"i.e.,":[117],"theory":[120],"(ST).":[121],"article,":[124],"we":[125,156],"provide":[126],"explanations":[128],"based":[135,149],"on":[136,150],"ST":[137],"summarize":[139],"properties":[141],"should":[146],"satisfy.":[147],"Furthermore,":[148],"proposed":[152,181],"concepts":[153],"theories,":[155],"put":[157],"forward":[158],"ideas":[160],"improving":[162],"process.":[165],"Consequently,":[166],"some":[167],"operators":[169],"KPs":[171],"proposed.":[173],"Experimental":[174],"results":[175],"demonstrate":[176],"superiority":[178],"operators.":[182]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
