{"id":"https://openalex.org/W2131739155","doi":"https://doi.org/10.1093/jigpal/jzq038","title":"Crossover operators for permutations equivalence between position and order-based crossover","display_name":"Crossover operators for permutations equivalence between position and order-based crossover","publication_year":2010,"publication_date":"2010-07-12","ids":{"openalex":"https://openalex.org/W2131739155","doi":"https://doi.org/10.1093/jigpal/jzq038","mag":"2131739155"},"language":"en","primary_location":{"id":"doi:10.1093/jigpal/jzq038","is_oa":false,"landing_page_url":"https://doi.org/10.1093/jigpal/jzq038","pdf_url":null,"source":{"id":"https://openalex.org/S2734381524","display_name":"Logic Journal of IGPL","issn_l":"1367-0751","issn":["1367-0751","1368-9894"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logic Journal of IGPL","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/A5012864207","display_name":"Concepci\u00f3n Vidal","orcid":"https://orcid.org/0000-0002-5561-6406"},"institutions":[{"id":"https://openalex.org/I11019714","display_name":"Universidade da Coru\u00f1a","ror":"https://ror.org/01qckj285","country_code":"ES","type":"education","lineage":["https://openalex.org/I11019714"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"C. Vidal","raw_affiliation_strings":["Department of Computer Science, University of A Coru\u00f1a, A Coru\u00f1a, Spain","Dept. of Comput. Sci., Univ. of A Coruna, A Coru\u00f1a, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of A Coru\u00f1a, A Coru\u00f1a, Spain","institution_ids":["https://openalex.org/I11019714"]},{"raw_affiliation_string":"Dept. of Comput. Sci., Univ. of A Coruna, A Coru\u00f1a, Spain","institution_ids":["https://openalex.org/I11019714"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036317121","display_name":"Gilberto P\u00e9rez","orcid":"https://orcid.org/0000-0001-6269-6101"},"institutions":[{"id":"https://openalex.org/I11019714","display_name":"Universidade da Coru\u00f1a","ror":"https://ror.org/01qckj285","country_code":"ES","type":"education","lineage":["https://openalex.org/I11019714"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"G. Perez","raw_affiliation_strings":["Department of Computer Science, University of A Coru\u00f1a, A Coru\u00f1a, Spain","Dept. of Comput. Sci., Univ. of A Coruna, A Coru\u00f1a, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of A Coru\u00f1a, A Coru\u00f1a, Spain","institution_ids":["https://openalex.org/I11019714"]},{"raw_affiliation_string":"Dept. of Comput. Sci., Univ. of A Coruna, A Coru\u00f1a, Spain","institution_ids":["https://openalex.org/I11019714"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066461040","display_name":"Felicidad Aguado","orcid":"https://orcid.org/0000-0002-4334-9267"},"institutions":[{"id":"https://openalex.org/I11019714","display_name":"Universidade da Coru\u00f1a","ror":"https://ror.org/01qckj285","country_code":"ES","type":"education","lineage":["https://openalex.org/I11019714"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"F. Aguado","raw_affiliation_strings":["Department of Computer Science, University of A Coru\u00f1a, A Coru\u00f1a, Spain","Dept. of Comput. Sci., Univ. of A Coruna, A Coru\u00f1a, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of A Coru\u00f1a, A Coru\u00f1a, Spain","institution_ids":["https://openalex.org/I11019714"]},{"raw_affiliation_string":"Dept. of Comput. Sci., Univ. of A Coruna, A Coru\u00f1a, Spain","institution_ids":["https://openalex.org/I11019714"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5044876894","display_name":"J. M. Molinelli","orcid":null},"institutions":[{"id":"https://openalex.org/I11019714","display_name":"Universidade da Coru\u00f1a","ror":"https://ror.org/01qckj285","country_code":"ES","type":"education","lineage":["https://openalex.org/I11019714"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"J. M. Molinelli","raw_affiliation_strings":["Department of Computer Science, University of A Coru\u00f1a, A Coru\u00f1a, Spain","Dept. of Comput. Sci., Univ. of A Coruna, A Coru\u00f1a, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of A Coru\u00f1a, A Coru\u00f1a, Spain","institution_ids":["https://openalex.org/I11019714"]},{"raw_affiliation_string":"Dept. of Comput. Sci., Univ. of A Coruna, A Coru\u00f1a, Spain","institution_ids":["https://openalex.org/I11019714"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5012864207"],"corresponding_institution_ids":["https://openalex.org/I11019714"],"apc_list":{"value":4533,"currency":"USD","value_usd":4533},"apc_paid":null,"fwci":0.3209,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.64005181,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"19","issue":"2","first_page":"405","last_page":"414"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9764000177383423,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9764000177383423,"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/T11567","display_name":"semigroups and automata theory","score":0.9728999733924866,"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/T12029","display_name":"DNA and Biological Computing","score":0.9442999958992004,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/crossover","display_name":"Crossover","score":0.772986650466919},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5610457062721252},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.48647210001945496},{"id":"https://openalex.org/keywords/position","display_name":"Position (finance)","score":0.4488827586174011},{"id":"https://openalex.org/keywords/humanities","display_name":"Humanities","score":0.43437835574150085},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3270343542098999},{"id":"https://openalex.org/keywords/library-science","display_name":"Library science","score":0.32065385580062866},{"id":"https://openalex.org/keywords/art","display_name":"Art","score":0.2505148947238922},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.24313631653785706},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1817682981491089},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.10501566529273987}],"concepts":[{"id":"https://openalex.org/C122507166","wikidata":"https://www.wikidata.org/wiki/Q628906","display_name":"Crossover","level":2,"score":0.772986650466919},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5610457062721252},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.48647210001945496},{"id":"https://openalex.org/C198082294","wikidata":"https://www.wikidata.org/wiki/Q3399648","display_name":"Position (finance)","level":2,"score":0.4488827586174011},{"id":"https://openalex.org/C15708023","wikidata":"https://www.wikidata.org/wiki/Q80083","display_name":"Humanities","level":1,"score":0.43437835574150085},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3270343542098999},{"id":"https://openalex.org/C161191863","wikidata":"https://www.wikidata.org/wiki/Q199655","display_name":"Library science","level":1,"score":0.32065385580062866},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.2505148947238922},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.24313631653785706},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1817682981491089},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.10501566529273987},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1093/jigpal/jzq038","is_oa":false,"landing_page_url":"https://doi.org/10.1093/jigpal/jzq038","pdf_url":null,"source":{"id":"https://openalex.org/S2734381524","display_name":"Logic Journal of IGPL","issn_l":"1367-0751","issn":["1367-0751","1368-9894"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logic Journal of IGPL","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Quality Education","id":"https://metadata.un.org/sdg/4","score":0.6100000143051147}],"awards":[],"funders":[{"id":"https://openalex.org/F4320326655","display_name":"Xunta de Galicia","ror":"https://ror.org/0181xnw06"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":4,"referenced_works":["https://openalex.org/W1589975099","https://openalex.org/W1836977276","https://openalex.org/W2097571405","https://openalex.org/W2166843422"],"related_works":["https://openalex.org/W2112582068","https://openalex.org/W2350659984","https://openalex.org/W3036043280","https://openalex.org/W3190878560","https://openalex.org/W2748012597","https://openalex.org/W2354616749","https://openalex.org/W2379254280","https://openalex.org/W3123277084","https://openalex.org/W63035184","https://openalex.org/W2995449248"],"abstract_inverted_index":{"In":[0,33,110,130,152],"the":[1,6,17,29,87,92,104,149,158,166,182,195],"context":[2],"of":[3,8,47,67,79,89,132,168,197],"genetic":[4,39,60,183],"algorithms,":[5,77],"use":[7,196],"permutation-based":[9],"representations":[10],"has":[11],"worked":[12],"out":[13],"more":[14],"conveniently":[15],"than":[16],"classical":[18],"binary":[19],"encoding":[20],"for":[21,43],"some":[22],"scheduling":[23],"and":[24,70,108,145],"combinatorial":[25],"problems":[26,90],"such":[27],"as":[28,96],"Travelling":[30],"Salesman":[31],"Problem.":[32],"Aguado":[34,111],"et":[35,112],"al.":[36,113],"(2007,":[37,114],"Certified":[38],"algorithms:":[40],"crossover":[41,177,201],"operators":[42,61,106,143,162],"permutations,":[44],"Vol.":[45],"4739":[46],"Lecture":[48],"notes":[49],"in":[50,57,63,98,188],"Computer":[51],"Science,":[52],"pp.":[53,82],"282\u2013289),":[54],"we":[55,101,135,155],"implemented":[56,103],"Coq":[58],"several":[59],"proposed":[62],"Davis":[64],"(1991,":[65],"Handbook":[66,78],"Genetic":[68,76,80],"Algorithms)":[69],"Syswerda":[71],"(1985,":[72],"Schedule":[73],"optimization":[74],"using":[75],"Algorithms,":[81],"332\u2013349)":[83],"to":[84,165],"deal":[85],"with":[86,137],"chromosomes":[88],"where":[91],"individuals":[93],"are":[94],"encoded":[95],"permutations;":[97],"these":[99,161],"cases":[100],"specifically":[102],"so-called":[105],"pbx":[107],"obx.":[109],"Generalizaci\u00f3n":[115],"de":[116],"los":[117],"cruces":[118],"basados":[119],"en":[120,124],"el":[121],"orden":[122],"y":[123],"la":[125],"posici\u00f3n.":[126],"Una":[127],"implementaci\u00f3n":[128],"verificada,":[129],"Proceedings":[131],"CLEI":[133],"2007),":[134],"define":[136],"an":[138],"axiomatic":[139],"implementation":[140],"two":[141],"new":[142,176],"gen_pbx":[144],"gen_obx":[146],"which":[147,179],"generalize":[148],"previous":[150],"ones.":[151],"this":[153],"article,":[154],"formally":[156],"specify":[157],"relation":[159],"between":[160],"when":[163],"restricted":[164],"case":[167],"permutations":[169],"without":[170],"repetition.":[171],"We":[172],"also":[173],"propose":[174],"a":[175],"operator":[178],"actually":[180],"combines":[181],"material":[184],"from":[185],"both":[186],"parents":[187],"each":[189],"child.":[190],"Experimental":[191],"results":[192],"confirm":[193],"that":[194],"one":[198],"or":[199],"another":[200],"makes":[202],"no":[203],"significant":[204],"difference.":[205]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}
