{"id":"https://openalex.org/W1992681796","doi":"https://doi.org/10.1007/s11083-009-9108-x","title":"Choice Functions and Extensive Operators","display_name":"Choice Functions and Extensive Operators","publication_year":2009,"publication_date":"2009-02-02","ids":{"openalex":"https://openalex.org/W1992681796","doi":"https://doi.org/10.1007/s11083-009-9108-x","mag":"1992681796"},"language":"en","primary_location":{"id":"doi:10.1007/s11083-009-9108-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11083-009-9108-x","pdf_url":null,"source":{"id":"https://openalex.org/S121371512","display_name":"Order","issn_l":"0167-8094","issn":["0167-8094","1572-9273"],"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":"Order","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/A5043430614","display_name":"\u0412. \u0413. \u0414\u0430\u043d\u0438\u043b\u043e\u0432","orcid":"https://orcid.org/0000-0002-8079-9232"},"institutions":[{"id":"https://openalex.org/I2802368776","display_name":"Central Economics and Mathematics Institute","ror":"https://ror.org/02n937p61","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I2802368776","https://openalex.org/I4210120228"]},{"id":"https://openalex.org/I4210123605","display_name":"Institute of Economics","ror":"https://ror.org/02r4ram30","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I1313323035","https://openalex.org/I4210119369","https://openalex.org/I4210120228","https://openalex.org/I4210123605"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"V. Danilov","raw_affiliation_strings":["Central Institute of Economics and Mathematics of the RAS, 47, Nakhimovskii Prospect, 117418, Moscow, Russia","Central Institute of Economics and Mathematics of the RAS"],"affiliations":[{"raw_affiliation_string":"Central Institute of Economics and Mathematics of the RAS, 47, Nakhimovskii Prospect, 117418, Moscow, Russia","institution_ids":["https://openalex.org/I2802368776","https://openalex.org/I4210123605"]},{"raw_affiliation_string":"Central Institute of Economics and Mathematics of the RAS","institution_ids":["https://openalex.org/I2802368776"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5002936989","display_name":"Gleb Koshevoy","orcid":"https://orcid.org/0000-0002-1347-7348"},"institutions":[{"id":"https://openalex.org/I4210123605","display_name":"Institute of Economics","ror":"https://ror.org/02r4ram30","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I1313323035","https://openalex.org/I4210119369","https://openalex.org/I4210120228","https://openalex.org/I4210123605"]},{"id":"https://openalex.org/I2802368776","display_name":"Central Economics and Mathematics Institute","ror":"https://ror.org/02n937p61","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I2802368776","https://openalex.org/I4210120228"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"G. Koshevoy","raw_affiliation_strings":["Central Institute of Economics and Mathematics of the RAS, 47, Nakhimovskii Prospect, 117418, Moscow, Russia","Central Institute of Economics and Mathematics of the RAS"],"affiliations":[{"raw_affiliation_string":"Central Institute of Economics and Mathematics of the RAS, 47, Nakhimovskii Prospect, 117418, Moscow, Russia","institution_ids":["https://openalex.org/I2802368776","https://openalex.org/I4210123605"]},{"raw_affiliation_string":"Central Institute of Economics and Mathematics of the RAS","institution_ids":["https://openalex.org/I2802368776"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5043430614"],"corresponding_institution_ids":["https://openalex.org/I2802368776","https://openalex.org/I4210123605"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.3538,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.59801749,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"26","issue":"1","first_page":"69","last_page":"94"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.993399977684021,"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":0.993399977684021,"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/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9739000201225281,"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":0.9528999924659729,"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/mathematics","display_name":"Mathematics","score":0.8112748265266418},{"id":"https://openalex.org/keywords/transitive-relation","display_name":"Transitive relation","score":0.6106069684028625},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.5931831002235413},{"id":"https://openalex.org/keywords/axiom","display_name":"Axiom","score":0.5619356632232666},{"id":"https://openalex.org/keywords/axiom-of-choice","display_name":"Axiom of choice","score":0.5325419306755066},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.48154503107070923},{"id":"https://openalex.org/keywords/choice-function","display_name":"Choice function","score":0.47841888666152954},{"id":"https://openalex.org/keywords/binary-relation","display_name":"Binary relation","score":0.4554980397224426},{"id":"https://openalex.org/keywords/matroid","display_name":"Matroid","score":0.44738179445266724},{"id":"https://openalex.org/keywords/inversion","display_name":"Inversion (geology)","score":0.43508049845695496},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.41765183210372925},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3598756790161133},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3465028703212738},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.27469098567962646},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.2385505735874176},{"id":"https://openalex.org/keywords/set-theory","display_name":"Set theory","score":0.16865694522857666},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.10371711850166321}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8112748265266418},{"id":"https://openalex.org/C191399111","wikidata":"https://www.wikidata.org/wiki/Q64861","display_name":"Transitive relation","level":2,"score":0.6106069684028625},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.5931831002235413},{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.5619356632232666},{"id":"https://openalex.org/C151797676","wikidata":"https://www.wikidata.org/wiki/Q179692","display_name":"Axiom of choice","level":4,"score":0.5325419306755066},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.48154503107070923},{"id":"https://openalex.org/C20656852","wikidata":"https://www.wikidata.org/wiki/Q2513496","display_name":"Choice function","level":2,"score":0.47841888666152954},{"id":"https://openalex.org/C65180967","wikidata":"https://www.wikidata.org/wiki/Q130901","display_name":"Binary relation","level":2,"score":0.4554980397224426},{"id":"https://openalex.org/C106286213","wikidata":"https://www.wikidata.org/wiki/Q898572","display_name":"Matroid","level":2,"score":0.44738179445266724},{"id":"https://openalex.org/C1893757","wikidata":"https://www.wikidata.org/wiki/Q3653001","display_name":"Inversion (geology)","level":3,"score":0.43508049845695496},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.41765183210372925},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3598756790161133},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3465028703212738},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.27469098567962646},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.2385505735874176},{"id":"https://openalex.org/C153046414","wikidata":"https://www.wikidata.org/wiki/Q12482","display_name":"Set theory","level":3,"score":0.16865694522857666},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.10371711850166321},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C109007969","wikidata":"https://www.wikidata.org/wiki/Q749565","display_name":"Structural basin","level":2,"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/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11083-009-9108-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11083-009-9108-x","pdf_url":null,"source":{"id":"https://openalex.org/S121371512","display_name":"Order","issn_l":"0167-8094","issn":["0167-8094","1572-9273"],"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":"Order","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W158006236","https://openalex.org/W424107797","https://openalex.org/W1989887370","https://openalex.org/W1990826684","https://openalex.org/W2016120321","https://openalex.org/W2017716291","https://openalex.org/W2021039845","https://openalex.org/W2056571852","https://openalex.org/W2066330733","https://openalex.org/W2126352844","https://openalex.org/W2158470853","https://openalex.org/W2160847856","https://openalex.org/W2234563984","https://openalex.org/W3122193929","https://openalex.org/W4213038708","https://openalex.org/W4213261054"],"related_works":["https://openalex.org/W2056040336","https://openalex.org/W2295438979","https://openalex.org/W2383282217","https://openalex.org/W2781122117","https://openalex.org/W2388867275","https://openalex.org/W2354976030","https://openalex.org/W3121877141","https://openalex.org/W1923764017","https://openalex.org/W3148457645","https://openalex.org/W2123853232"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
