{"id":"https://openalex.org/W1589696831","doi":"https://doi.org/10.1007/978-3-540-88636-5_42","title":"Some Demonstrations about the Cardinality of Important Sets of Non\u2013dominated Sets","display_name":"Some Demonstrations about the Cardinality of Important Sets of Non\u2013dominated Sets","publication_year":2008,"publication_date":"2008-01-01","ids":{"openalex":"https://openalex.org/W1589696831","doi":"https://doi.org/10.1007/978-3-540-88636-5_42","mag":"1589696831"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-88636-5_42","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-88636-5_42","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"conference-paper","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/A5060439749","display_name":"Giovanni Liz\u00e1rraga","orcid":null},"institutions":[{"id":"https://openalex.org/I124618812","display_name":"Mathematics Research Center","ror":"https://ror.org/02nhmp827","country_code":"MX","type":"facility","lineage":["https://openalex.org/I124618812"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Giovanni Liz\u00e1rraga","raw_affiliation_strings":["Department of Computer Science, Center for Research in Mathematics (CIMAT), Guanajuato, M\u00e9xico","Department of Computer Science, Center for Research in Mathematics (CIMAT), Guanajuato, M\u00e9xico Gto. 36240#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Center for Research in Mathematics (CIMAT), Guanajuato, M\u00e9xico","institution_ids":["https://openalex.org/I124618812"]},{"raw_affiliation_string":"Department of Computer Science, Center for Research in Mathematics (CIMAT), Guanajuato, M\u00e9xico Gto. 36240#TAB#","institution_ids":["https://openalex.org/I124618812"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103423974","display_name":"Arturo Hern\u00e1ndez","orcid":null},"institutions":[{"id":"https://openalex.org/I124618812","display_name":"Mathematics Research Center","ror":"https://ror.org/02nhmp827","country_code":"MX","type":"facility","lineage":["https://openalex.org/I124618812"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Arturo Hern\u00e1ndez","raw_affiliation_strings":["Department of Computer Science, Center for Research in Mathematics (CIMAT), Guanajuato, M\u00e9xico","Department of Computer Science, Center for Research in Mathematics (CIMAT), Guanajuato, M\u00e9xico Gto. 36240#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Center for Research in Mathematics (CIMAT), Guanajuato, M\u00e9xico","institution_ids":["https://openalex.org/I124618812"]},{"raw_affiliation_string":"Department of Computer Science, Center for Research in Mathematics (CIMAT), Guanajuato, M\u00e9xico Gto. 36240#TAB#","institution_ids":["https://openalex.org/I124618812"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5012259761","display_name":"Salvador Botello","orcid":null},"institutions":[{"id":"https://openalex.org/I124618812","display_name":"Mathematics Research Center","ror":"https://ror.org/02nhmp827","country_code":"MX","type":"facility","lineage":["https://openalex.org/I124618812"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Salvador Botello","raw_affiliation_strings":["Department of Computer Science, Center for Research in Mathematics (CIMAT), Guanajuato, M\u00e9xico","Department of Computer Science, Center for Research in Mathematics (CIMAT), Guanajuato, M\u00e9xico Gto. 36240#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Center for Research in Mathematics (CIMAT), Guanajuato, M\u00e9xico","institution_ids":["https://openalex.org/I124618812"]},{"raw_affiliation_string":"Department of Computer Science, Center for Research in Mathematics (CIMAT), Guanajuato, M\u00e9xico Gto. 36240#TAB#","institution_ids":["https://openalex.org/I124618812"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I124618812"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"440","last_page":"450"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9973000288009644,"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":0.986299991607666,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/cardinality","display_name":"Cardinality (data modeling)","score":0.9070771932601929},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7070176601409912},{"id":"https://openalex.org/keywords/evolutionary-algorithm","display_name":"Evolutionary algorithm","score":0.6655502319335938},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.608778715133667},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.534204363822937},{"id":"https://openalex.org/keywords/cardinal-number","display_name":"Cardinal number (linguistics)","score":0.5106242299079895},{"id":"https://openalex.org/keywords/multi-objective-optimization","display_name":"Multi-objective optimization","score":0.4716063141822815},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.45106059312820435},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.45046231150627136},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3675520420074463},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2437770664691925},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.197697252035141},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.14119940996170044},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.08922198414802551},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.07263019680976868}],"concepts":[{"id":"https://openalex.org/C87117476","wikidata":"https://www.wikidata.org/wiki/Q362383","display_name":"Cardinality (data modeling)","level":2,"score":0.9070771932601929},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7070176601409912},{"id":"https://openalex.org/C159149176","wikidata":"https://www.wikidata.org/wiki/Q14489129","display_name":"Evolutionary algorithm","level":2,"score":0.6655502319335938},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.608778715133667},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.534204363822937},{"id":"https://openalex.org/C2778408900","wikidata":"https://www.wikidata.org/wiki/Q1329258","display_name":"Cardinal number (linguistics)","level":2,"score":0.5106242299079895},{"id":"https://openalex.org/C68781425","wikidata":"https://www.wikidata.org/wiki/Q2052203","display_name":"Multi-objective optimization","level":2,"score":0.4716063141822815},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.45106059312820435},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.45046231150627136},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3675520420074463},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2437770664691925},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.197697252035141},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.14119940996170044},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.08922198414802551},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.07263019680976868},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-540-88636-5_42","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-88636-5_42","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.6299999952316284}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W595638027","https://openalex.org/W1553373771","https://openalex.org/W1563006283","https://openalex.org/W1595498733","https://openalex.org/W2098907614","https://openalex.org/W2243410218","https://openalex.org/W4292408320"],"related_works":["https://openalex.org/W4321499188","https://openalex.org/W2331093826","https://openalex.org/W2168299207","https://openalex.org/W1973109584","https://openalex.org/W2941284322","https://openalex.org/W1614603007","https://openalex.org/W1850907888","https://openalex.org/W24519920","https://openalex.org/W3200748504","https://openalex.org/W2256580242"],"abstract_inverted_index":null,"counts_by_year":[{"year":2019,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
