{"id":"https://openalex.org/W1993642435","doi":"https://doi.org/10.1007/s00355-003-0199-9","title":"Recoverability of choice functions and binary relations: some duality results","display_name":"Recoverability of choice functions and binary relations: some duality results","publication_year":2003,"publication_date":"2003-08-01","ids":{"openalex":"https://openalex.org/W1993642435","doi":"https://doi.org/10.1007/s00355-003-0199-9","mag":"1993642435"},"language":"en","primary_location":{"id":"doi:10.1007/s00355-003-0199-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00355-003-0199-9","pdf_url":null,"source":{"id":"https://openalex.org/S107325288","display_name":"Social Choice and Welfare","issn_l":"0176-1714","issn":["0176-1714","1432-217X"],"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":"Social Choice and Welfare","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/A5081069760","display_name":"Kotaro Suzumura","orcid":null},"institutions":[{"id":"https://openalex.org/I111428342","display_name":"Hitotsubashi University","ror":"https://ror.org/04jqj7p05","country_code":"JP","type":"education","lineage":["https://openalex.org/I111428342"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Kotaro Suzumura","raw_affiliation_strings":["The Institute of Economic Research, Hitotsubashi University, Naka 2-1, Kunitachi, Tokyo, 186-8603, Japan","The Institute of Economic Research, Hitotsubashi University, Tokyo, Japan\u2020"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The Institute of Economic Research, Hitotsubashi University, Naka 2-1, Kunitachi, Tokyo, 186-8603, Japan","institution_ids":["https://openalex.org/I111428342"]},{"raw_affiliation_string":"The Institute of Economic Research, Hitotsubashi University, Tokyo, Japan\u2020","institution_ids":["https://openalex.org/I111428342"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100661859","display_name":"Yongsheng Xu","orcid":"https://orcid.org/0000-0003-1982-0466"},"institutions":[{"id":"https://openalex.org/I181565077","display_name":"Georgia State University","ror":"https://ror.org/03qt6ba18","country_code":"US","type":"education","lineage":["https://openalex.org/I181565077"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Yongsheng Xu","raw_affiliation_strings":["Department of Economics, Andrew Young School of Policy Studies, Georgia State University, Atlanta, GA, 30303, USA","Department of Economics, Andrew Young School of Policy Studies, Georgia State University, Atlanta, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Economics, Andrew Young School of Policy Studies, Georgia State University, Atlanta, GA, 30303, USA","institution_ids":["https://openalex.org/I181565077"]},{"raw_affiliation_string":"Department of Economics, Andrew Young School of Policy Studies, Georgia State University, Atlanta, USA","institution_ids":["https://openalex.org/I181565077"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100661859"],"corresponding_institution_ids":["https://openalex.org/I181565077"],"apc_list":{"value":2890,"currency":"USD","value_usd":2890},"apc_paid":null,"fwci":1.0902,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.76167198,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"21","issue":"1","first_page":"21","last_page":"37"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9373999834060669,"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":0.9373999834060669,"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/T11151","display_name":"Advanced Topology and Set Theory","score":0.9363999962806702,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/extension","display_name":"Extension (predicate logic)","score":0.8165932893753052},{"id":"https://openalex.org/keywords/intersection","display_name":"Intersection (aeronautics)","score":0.7509856224060059},{"id":"https://openalex.org/keywords/binary-relation","display_name":"Binary relation","score":0.6967241764068604},{"id":"https://openalex.org/keywords/duality","display_name":"Duality (order theory)","score":0.6410816311836243},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6399083137512207},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5478987693786621},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.5231462717056274},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.44060370326042175},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.43777093291282654},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4042380154132843},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3317708373069763},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.20920735597610474}],"concepts":[{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.8165932893753052},{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.7509856224060059},{"id":"https://openalex.org/C65180967","wikidata":"https://www.wikidata.org/wiki/Q130901","display_name":"Binary relation","level":2,"score":0.6967241764068604},{"id":"https://openalex.org/C2778023678","wikidata":"https://www.wikidata.org/wiki/Q554403","display_name":"Duality (order theory)","level":2,"score":0.6410816311836243},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6399083137512207},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5478987693786621},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.5231462717056274},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.44060370326042175},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.43777093291282654},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4042380154132843},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3317708373069763},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.20920735597610474},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.0},{"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s00355-003-0199-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00355-003-0199-9","pdf_url":null,"source":{"id":"https://openalex.org/S107325288","display_name":"Social Choice and Welfare","issn_l":"0176-1714","issn":["0176-1714","1432-217X"],"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":"Social Choice and Welfare","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:hit:hituec:a422","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":"preprint"},{"id":"pmh:oai:RePEc:spr:sochwe:v:21:y:2003:i:1:p:21-37","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1007/s00355-003-0199-9","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":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W228286137","https://openalex.org/W424107797","https://openalex.org/W968309248","https://openalex.org/W1972253237","https://openalex.org/W1975833254","https://openalex.org/W1980098164","https://openalex.org/W1981346557","https://openalex.org/W1997589102","https://openalex.org/W2016120321","https://openalex.org/W2017023258","https://openalex.org/W2018312098","https://openalex.org/W2044935944","https://openalex.org/W2067377985","https://openalex.org/W2077396731","https://openalex.org/W2085195137","https://openalex.org/W3022254642","https://openalex.org/W3121837787","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2075768550","https://openalex.org/W3022218857","https://openalex.org/W2369178846","https://openalex.org/W2082716031","https://openalex.org/W2370289839","https://openalex.org/W1568049691","https://openalex.org/W2348909947","https://openalex.org/W2379390860","https://openalex.org/W2391083822","https://openalex.org/W188182140"],"abstract_inverted_index":null,"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}