{"id":"https://openalex.org/W2136370773","doi":"https://doi.org/10.1007/978-3-642-35533-2_3","title":"The Relationship between the Covered Fraction, Completeness and Hypervolume Indicators","display_name":"The Relationship between the Covered Fraction, Completeness and Hypervolume Indicators","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W2136370773","doi":"https://doi.org/10.1007/978-3-642-35533-2_3","mag":"2136370773"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-35533-2_3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-35533-2_3","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":"book-chapter","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/A5005195485","display_name":"Viviane Grunert da Fonseca","orcid":"https://orcid.org/0000-0001-8489-9698"},"institutions":[{"id":"https://openalex.org/I4210154254","display_name":"Instituto Superior de Tecnologias Avan\u00e7adas","ror":"https://ror.org/04hzbg791","country_code":"PT","type":"education","lineage":["https://openalex.org/I4210154254"]},{"id":"https://openalex.org/I4210132182","display_name":"Instituto Superior Dom Afonso III","ror":"https://ror.org/03f94es11","country_code":"PT","type":"education","lineage":["https://openalex.org/I4210132182"]}],"countries":["PT"],"is_corresponding":true,"raw_author_name":"Viviane Grunert da Fonseca","raw_affiliation_strings":["CEG-IST \u2013 Center for Management Studies, Instituto Superior T\u00e9cnico, Lisbon, Portugal","INUAF \u2013 Instituto Superior D. Afonso III, Loul\u00e9, Portugal"],"affiliations":[{"raw_affiliation_string":"CEG-IST \u2013 Center for Management Studies, Instituto Superior T\u00e9cnico, Lisbon, Portugal","institution_ids":["https://openalex.org/I4210154254"]},{"raw_affiliation_string":"INUAF \u2013 Instituto Superior D. Afonso III, Loul\u00e9, Portugal","institution_ids":["https://openalex.org/I4210132182"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5038504776","display_name":"Carlos M. Fonseca","orcid":"https://orcid.org/0000-0001-5162-2457"},"institutions":[{"id":"https://openalex.org/I76903346","display_name":"University of Coimbra","ror":"https://ror.org/04z8k9a98","country_code":"PT","type":"education","lineage":["https://openalex.org/I76903346"]},{"id":"https://openalex.org/I4210154254","display_name":"Instituto Superior de Tecnologias Avan\u00e7adas","ror":"https://ror.org/04hzbg791","country_code":"PT","type":"education","lineage":["https://openalex.org/I4210154254"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"Carlos M. Fonseca","raw_affiliation_strings":["CEG-IST \u2013 Center for Management Studies, Instituto Superior T\u00e9cnico, Lisbon, Portugal","CISUC, Department of Informatics Engineering, University of Coimbra, Coimbra, Portugal"],"affiliations":[{"raw_affiliation_string":"CEG-IST \u2013 Center for Management Studies, Instituto Superior T\u00e9cnico, Lisbon, Portugal","institution_ids":["https://openalex.org/I4210154254"]},{"raw_affiliation_string":"CISUC, Department of Informatics Engineering, University of Coimbra, Coimbra, Portugal","institution_ids":["https://openalex.org/I76903346"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5005195485"],"corresponding_institution_ids":["https://openalex.org/I4210132182","https://openalex.org/I4210154254"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.9231,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.84939411,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"25","last_page":"36"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":1.0,"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":1.0,"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11798","display_name":"Optimal Experimental Design Methods","score":0.9955999851226807,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/completeness","display_name":"Completeness (order theory)","score":0.7904802560806274},{"id":"https://openalex.org/keywords/unary-operation","display_name":"Unary operation","score":0.7454756498336792},{"id":"https://openalex.org/keywords/stochastic-dominance","display_name":"Stochastic dominance","score":0.6283475160598755},{"id":"https://openalex.org/keywords/intersection","display_name":"Intersection (aeronautics)","score":0.6193080544471741},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5357512831687927},{"id":"https://openalex.org/keywords/fraction","display_name":"Fraction (chemistry)","score":0.500126838684082},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4783848524093628},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4761771559715271},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4558403193950653},{"id":"https://openalex.org/keywords/pareto-principle","display_name":"Pareto principle","score":0.44119706749916077},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.2350691556930542}],"concepts":[{"id":"https://openalex.org/C17231256","wikidata":"https://www.wikidata.org/wiki/Q5156540","display_name":"Completeness (order theory)","level":2,"score":0.7904802560806274},{"id":"https://openalex.org/C78023250","wikidata":"https://www.wikidata.org/wiki/Q657596","display_name":"Unary operation","level":2,"score":0.7454756498336792},{"id":"https://openalex.org/C33252445","wikidata":"https://www.wikidata.org/wiki/Q3713315","display_name":"Stochastic dominance","level":2,"score":0.6283475160598755},{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.6193080544471741},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5357512831687927},{"id":"https://openalex.org/C149629883","wikidata":"https://www.wikidata.org/wiki/Q660926","display_name":"Fraction (chemistry)","level":2,"score":0.500126838684082},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4783848524093628},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4761771559715271},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4558403193950653},{"id":"https://openalex.org/C137635306","wikidata":"https://www.wikidata.org/wiki/Q182667","display_name":"Pareto principle","level":2,"score":0.44119706749916077},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2350691556930542},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"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/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-3-642-35533-2_3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-35533-2_3","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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.706.3884","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.706.3884","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://eden.dei.uc.pt/%7Ecmfonsec/grunert-da-fonseca-ea2011.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W122965473","https://openalex.org/W133511943","https://openalex.org/W646794073","https://openalex.org/W1522020530","https://openalex.org/W1538348021","https://openalex.org/W1539598433","https://openalex.org/W1539786310","https://openalex.org/W1543809355","https://openalex.org/W1558919105","https://openalex.org/W1564638059","https://openalex.org/W1565688698","https://openalex.org/W1578430072","https://openalex.org/W1625914768","https://openalex.org/W1684962946","https://openalex.org/W2003412293","https://openalex.org/W2004021828","https://openalex.org/W2098907614","https://openalex.org/W2118028531","https://openalex.org/W2184714872","https://openalex.org/W2210195496","https://openalex.org/W2490736661","https://openalex.org/W2503015172","https://openalex.org/W3195006057","https://openalex.org/W4210992751","https://openalex.org/W4254734937","https://openalex.org/W6801039833"],"related_works":["https://openalex.org/W2888918612","https://openalex.org/W2166285859","https://openalex.org/W3148597776","https://openalex.org/W1538206641","https://openalex.org/W2025370853","https://openalex.org/W3211656382","https://openalex.org/W2060412688","https://openalex.org/W1972183506","https://openalex.org/W4235940179","https://openalex.org/W111512218"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
