{"id":"https://openalex.org/W1965656297","doi":"https://doi.org/10.1007/s10479-013-1388-2","title":"Extended proportionality in division problems with multiple references","display_name":"Extended proportionality in division problems with multiple references","publication_year":2013,"publication_date":"2013-05-07","ids":{"openalex":"https://openalex.org/W1965656297","doi":"https://doi.org/10.1007/s10479-013-1388-2","mag":"1965656297"},"language":"en","primary_location":{"id":"doi:10.1007/s10479-013-1388-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10479-013-1388-2","pdf_url":null,"source":{"id":"https://openalex.org/S57667410","display_name":"Annals of Operations Research","issn_l":"0254-5330","issn":["0254-5330","1572-9338"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Operations Research","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/A5084517426","display_name":"M. \u00c1. Hinojosa","orcid":"https://orcid.org/0000-0002-7378-8092"},"institutions":[{"id":"https://openalex.org/I95013407","display_name":"Universidad Pablo de Olavide","ror":"https://ror.org/02z749649","country_code":"ES","type":"education","lineage":["https://openalex.org/I95013407"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"M. A. Hinojosa","raw_affiliation_strings":["Departamento de Econom\u00eda, M\u00e9todos Cuantitativos e Historia Econ\u00f3mica, Universidad Pablo de Olavide, Seville, Spain","Universidad Pablo de Olavide;"],"affiliations":[{"raw_affiliation_string":"Departamento de Econom\u00eda, M\u00e9todos Cuantitativos e Historia Econ\u00f3mica, Universidad Pablo de Olavide, Seville, Spain","institution_ids":["https://openalex.org/I95013407"]},{"raw_affiliation_string":"Universidad Pablo de Olavide;","institution_ids":["https://openalex.org/I95013407"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063712947","display_name":"A. M. M\u00e1rmol","orcid":"https://orcid.org/0000-0002-0514-5781"},"institutions":[{"id":"https://openalex.org/I79238269","display_name":"Universidad de Sevilla","ror":"https://ror.org/03yxnpp24","country_code":"ES","type":"education","lineage":["https://openalex.org/I79238269"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"A. M. M\u00e1rmol","raw_affiliation_strings":["Departamento de Econom\u00eda Aplicada III, Universidad de Sevilla, Seville, Spain","Universidad de Sevilla"],"affiliations":[{"raw_affiliation_string":"Departamento de Econom\u00eda Aplicada III, Universidad de Sevilla, Seville, Spain","institution_ids":["https://openalex.org/I79238269"]},{"raw_affiliation_string":"Universidad de Sevilla","institution_ids":["https://openalex.org/I79238269"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5043887762","display_name":"Francisca J. S\u00e1nchez\u2010S\u00e1nchez","orcid":"https://orcid.org/0000-0001-5325-3667"},"institutions":[{"id":"https://openalex.org/I95013407","display_name":"Universidad Pablo de Olavide","ror":"https://ror.org/02z749649","country_code":"ES","type":"education","lineage":["https://openalex.org/I95013407"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"F. J. S\u00e1nchez","raw_affiliation_strings":["M\u00e9todos Cuantitativos e Historia Econ\u00f3mica, Universidad Pablo de Olavide, Seville, Spain","Universidad Pablo de Olavide;"],"affiliations":[{"raw_affiliation_string":"M\u00e9todos Cuantitativos e Historia Econ\u00f3mica, Universidad Pablo de Olavide, Seville, Spain","institution_ids":["https://openalex.org/I95013407"]},{"raw_affiliation_string":"Universidad Pablo de Olavide;","institution_ids":["https://openalex.org/I95013407"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5084517426"],"corresponding_institution_ids":["https://openalex.org/I95013407"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":2.3002,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.91912601,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"206","issue":"1","first_page":"183","last_page":"195"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10991","display_name":"Game Theory and Voting Systems","score":0.9936000108718872,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10991","display_name":"Game Theory and Voting Systems","score":0.9936000108718872,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9298999905586243,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/proportionality","display_name":"Proportionality (law)","score":0.7818273305892944},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.7031797766685486},{"id":"https://openalex.org/keywords/division","display_name":"Division (mathematics)","score":0.6460126042366028},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.6155557632446289},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.574493408203125},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5671204328536987},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.40574121475219727},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3366532325744629},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.32065489888191223},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.20088863372802734},{"id":"https://openalex.org/keywords/law","display_name":"Law","score":0.1374412178993225},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.12027978897094727},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.08686807751655579}],"concepts":[{"id":"https://openalex.org/C183763965","wikidata":"https://www.wikidata.org/wiki/Q603959","display_name":"Proportionality (law)","level":2,"score":0.7818273305892944},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.7031797766685486},{"id":"https://openalex.org/C60798267","wikidata":"https://www.wikidata.org/wiki/Q1226939","display_name":"Division (mathematics)","level":2,"score":0.6460126042366028},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.6155557632446289},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.574493408203125},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5671204328536987},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.40574121475219727},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3366532325744629},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.32065489888191223},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.20088863372802734},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.1374412178993225},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.12027978897094727},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.08686807751655579},{"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/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10479-013-1388-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10479-013-1388-2","pdf_url":null,"source":{"id":"https://openalex.org/S57667410","display_name":"Annals of Operations Research","issn_l":"0254-5330","issn":["0254-5330","1572-9338"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Operations Research","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:annopr:v:206:y:2013:i:1:p:183-195:10.1007/s10479-013-1388-2","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1007/s10479-013-1388-2","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":"article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","score":0.5199999809265137,"id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W8342646","https://openalex.org/W1596961150","https://openalex.org/W1983894317","https://openalex.org/W2003280182","https://openalex.org/W2020279610","https://openalex.org/W2051596944","https://openalex.org/W2072994096","https://openalex.org/W2074730872","https://openalex.org/W2077681802","https://openalex.org/W2097261639","https://openalex.org/W2108913034","https://openalex.org/W2119639314","https://openalex.org/W2164238497","https://openalex.org/W3123725288","https://openalex.org/W3126036372"],"related_works":["https://openalex.org/W4238814147","https://openalex.org/W2981543460","https://openalex.org/W3212262305","https://openalex.org/W12604237","https://openalex.org/W2075768550","https://openalex.org/W4225986597","https://openalex.org/W3022218857","https://openalex.org/W23625571","https://openalex.org/W146401724","https://openalex.org/W4253492586"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
