{"id":"https://openalex.org/W306654338","doi":"https://doi.org/10.1007/978-3-319-07001-8_21","title":"Characterizing Relatively Minimal Elements via Linear Scalarization","display_name":"Characterizing Relatively Minimal Elements via Linear Scalarization","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W306654338","doi":"https://doi.org/10.1007/978-3-319-07001-8_21","mag":"306654338"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-07001-8_21","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-07001-8_21","pdf_url":null,"source":{"id":"https://openalex.org/S4210184104","display_name":"Operations research proceedings","issn_l":"0721-5924","issn":["0721-5924","2197-9294"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Operations Research Proceedings","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/A5089451173","display_name":"Sorin\u2010Mihai Grad","orcid":"https://orcid.org/0000-0002-1139-7504"},"institutions":[{"id":"https://openalex.org/I2610724","display_name":"Chemnitz University of Technology","ror":"https://ror.org/00a208s56","country_code":"DE","type":"education","lineage":["https://openalex.org/I2610724"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Sorin-Mihai Grad","raw_affiliation_strings":["Department of Mathematics, Chemnitz University of Technology, 09107, Chemnitz, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Chemnitz University of Technology, 09107, Chemnitz, Germany","institution_ids":["https://openalex.org/I2610724"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5089766771","display_name":"Emilia-Loredana Pop","orcid":"https://orcid.org/0000-0002-4737-4080"},"institutions":[{"id":"https://openalex.org/I3125347698","display_name":"Babe\u0219-Bolyai University","ror":"https://ror.org/02rmd1t30","country_code":"RO","type":"education","lineage":["https://openalex.org/I3125347698"]}],"countries":["RO"],"is_corresponding":false,"raw_author_name":"Emilia-Loredana Pop","raw_affiliation_strings":["Faculty of Mathematics and Computer Science, Babe\u015f-Bolyai University, Str. Mihail Kog\u0103lniceanu 1, 400084, Cluj-Napoca, Romania"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics and Computer Science, Babe\u015f-Bolyai University, Str. Mihail Kog\u0103lniceanu 1, 400084, Cluj-Napoca, Romania","institution_ids":["https://openalex.org/I3125347698"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5089451173"],"corresponding_institution_ids":["https://openalex.org/I2610724"],"apc_list":null,"apc_paid":null,"fwci":2.8126,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.90918124,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"153","last_page":"159"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9997000098228455,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.9997000098228455,"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/T11545","display_name":"Advanced Banach Space Theory","score":0.9969000220298767,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11830","display_name":"Point processes and geometric inequalities","score":0.9954000115394592,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.655066728591919},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5986937284469604},{"id":"https://openalex.org/keywords/characterization","display_name":"Characterization (materials science)","score":0.5847336649894714},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5699028968811035},{"id":"https://openalex.org/keywords/cone","display_name":"Cone (formal languages)","score":0.41736727952957153},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.37165629863739014},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.19627875089645386},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1929638683795929},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.14795821905136108},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10858181118965149},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.03842785954475403}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.655066728591919},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5986937284469604},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.5847336649894714},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5699028968811035},{"id":"https://openalex.org/C30014739","wikidata":"https://www.wikidata.org/wiki/Q5159445","display_name":"Cone (formal languages)","level":2,"score":0.41736727952957153},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.37165629863739014},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.19627875089645386},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1929638683795929},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.14795821905136108},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10858181118965149},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.03842785954475403},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-3-319-07001-8_21","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-07001-8_21","pdf_url":null,"source":{"id":"https://openalex.org/S4210184104","display_name":"Operations research proceedings","issn_l":"0721-5924","issn":["0721-5924","2197-9294"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Operations Research Proceedings","raw_type":"book-chapter"},{"id":"pmh:oai:RePEc:spr:oprchp:978-3-319-07001-8_21","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"book"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.7300000190734863,"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W85096072","https://openalex.org/W341071838","https://openalex.org/W1585268704","https://openalex.org/W1995700855","https://openalex.org/W1997572981","https://openalex.org/W2020084878","https://openalex.org/W2059104624","https://openalex.org/W2084832285","https://openalex.org/W2089820648","https://openalex.org/W2132775167","https://openalex.org/W3121516995","https://openalex.org/W4240520568","https://openalex.org/W4252722163"],"related_works":["https://openalex.org/W3107994849","https://openalex.org/W4247143848","https://openalex.org/W2009883749","https://openalex.org/W2735573198","https://openalex.org/W2371409811","https://openalex.org/W29442446","https://openalex.org/W2896904446","https://openalex.org/W330727063","https://openalex.org/W1483407203","https://openalex.org/W2956921597"],"abstract_inverted_index":null,"counts_by_year":[{"year":2014,"cited_by_count":7}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}