{"id":"https://openalex.org/W2104044130","doi":"https://doi.org/10.1007/s00607-011-0182-8","title":"A generalization of p-boxes to affine arithmetic","display_name":"A generalization of p-boxes to affine arithmetic","publication_year":2012,"publication_date":"2012-01-03","ids":{"openalex":"https://openalex.org/W2104044130","doi":"https://doi.org/10.1007/s00607-011-0182-8","mag":"2104044130"},"language":"en","primary_location":{"id":"doi:10.1007/s00607-011-0182-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00607-011-0182-8","pdf_url":null,"source":{"id":"https://openalex.org/S35593046","display_name":"Computing","issn_l":"0010-485X","issn":["0010-485X","1436-5057"],"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":"Computing","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/A5038283015","display_name":"Olivier Bouissou","orcid":null},"institutions":[{"id":"https://openalex.org/I2738703131","display_name":"Commissariat \u00e0 l'\u00c9nergie Atomique et aux \u00c9nergies Alternatives","ror":"https://ror.org/00jjx8s55","country_code":"FR","type":"government","lineage":["https://openalex.org/I2738703131"]},{"id":"https://openalex.org/I4210128565","display_name":"CEA Paris-Saclay","ror":"https://ror.org/03n15ch10","country_code":"FR","type":"government","lineage":["https://openalex.org/I2738703131","https://openalex.org/I277688954","https://openalex.org/I4210128565"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Olivier Bouissou","raw_affiliation_strings":["CEA Saclay Nano-INNOV, Point Courrier 174, 91191, Gif-sur-Yvette Cedex, France","CEA Saclay Nano-INNOV, Point Courrier 174, 91191, Gif-sur-Yvette Cedex, France#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CEA Saclay Nano-INNOV, Point Courrier 174, 91191, Gif-sur-Yvette Cedex, France","institution_ids":["https://openalex.org/I2738703131","https://openalex.org/I4210128565"]},{"raw_affiliation_string":"CEA Saclay Nano-INNOV, Point Courrier 174, 91191, Gif-sur-Yvette Cedex, France#TAB#","institution_ids":["https://openalex.org/I2738703131","https://openalex.org/I4210128565"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031488505","display_name":"\u00c9ric Goubault","orcid":"https://orcid.org/0000-0002-3198-1863"},"institutions":[{"id":"https://openalex.org/I2738703131","display_name":"Commissariat \u00e0 l'\u00c9nergie Atomique et aux \u00c9nergies Alternatives","ror":"https://ror.org/00jjx8s55","country_code":"FR","type":"government","lineage":["https://openalex.org/I2738703131"]},{"id":"https://openalex.org/I4210128565","display_name":"CEA Paris-Saclay","ror":"https://ror.org/03n15ch10","country_code":"FR","type":"government","lineage":["https://openalex.org/I2738703131","https://openalex.org/I277688954","https://openalex.org/I4210128565"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Eric Goubault","raw_affiliation_strings":["CEA Saclay Nano-INNOV, Point Courrier 174, 91191, Gif-sur-Yvette Cedex, France","CEA Saclay Nano-INNOV, Point Courrier 174, 91191, Gif-sur-Yvette Cedex, France#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CEA Saclay Nano-INNOV, Point Courrier 174, 91191, Gif-sur-Yvette Cedex, France","institution_ids":["https://openalex.org/I2738703131","https://openalex.org/I4210128565"]},{"raw_affiliation_string":"CEA Saclay Nano-INNOV, Point Courrier 174, 91191, Gif-sur-Yvette Cedex, France#TAB#","institution_ids":["https://openalex.org/I2738703131","https://openalex.org/I4210128565"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032396554","display_name":"Jean Goubault-Larrecq","orcid":"https://orcid.org/0000-0001-5879-3304"},"institutions":[{"id":"https://openalex.org/I11559806","display_name":"\u00c9cole Normale Sup\u00e9rieure Paris-Saclay","ror":"https://ror.org/00hx6zz33","country_code":"FR","type":"education","lineage":["https://openalex.org/I11559806","https://openalex.org/I277688954"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Jean Goubault-Larrecq","raw_affiliation_strings":["LSV, ENS Cachan, 61 avenue du pr\u00e9sident Wilson, 94230, Cachan, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LSV, ENS Cachan, 61 avenue du pr\u00e9sident Wilson, 94230, Cachan, France","institution_ids":["https://openalex.org/I11559806"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5042626840","display_name":"Sylvie Putot","orcid":"https://orcid.org/0000-0001-5624-3755"},"institutions":[{"id":"https://openalex.org/I2738703131","display_name":"Commissariat \u00e0 l'\u00c9nergie Atomique et aux \u00c9nergies Alternatives","ror":"https://ror.org/00jjx8s55","country_code":"FR","type":"government","lineage":["https://openalex.org/I2738703131"]},{"id":"https://openalex.org/I4210128565","display_name":"CEA Paris-Saclay","ror":"https://ror.org/03n15ch10","country_code":"FR","type":"government","lineage":["https://openalex.org/I2738703131","https://openalex.org/I277688954","https://openalex.org/I4210128565"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Sylvie Putot","raw_affiliation_strings":["CEA Saclay Nano-INNOV, Point Courrier 174, 91191, Gif-sur-Yvette Cedex, France","CEA Saclay Nano-INNOV, Point Courrier 174, 91191, Gif-sur-Yvette Cedex, France#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CEA Saclay Nano-INNOV, Point Courrier 174, 91191, Gif-sur-Yvette Cedex, France","institution_ids":["https://openalex.org/I2738703131","https://openalex.org/I4210128565"]},{"raw_affiliation_string":"CEA Saclay Nano-INNOV, Point Courrier 174, 91191, Gif-sur-Yvette Cedex, France#TAB#","institution_ids":["https://openalex.org/I2738703131","https://openalex.org/I4210128565"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5038283015"],"corresponding_institution_ids":["https://openalex.org/I2738703131","https://openalex.org/I4210128565"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":5.2069,"has_fulltext":false,"cited_by_count":46,"citation_normalized_percentile":{"value":0.95914149,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"94","issue":"2-4","first_page":"189","last_page":"201"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9995999932289124,"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.9995999932289124,"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/T10142","display_name":"Formal Methods in Verification","score":0.9811000227928162,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9776999950408936,"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/affine-arithmetic","display_name":"Affine arithmetic","score":0.9348823428153992},{"id":"https://openalex.org/keywords/interval-arithmetic","display_name":"Interval arithmetic","score":0.7920336723327637},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.7665358781814575},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.6793442964553833},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.6681011915206909},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.6453360319137573},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.6200243234634399},{"id":"https://openalex.org/keywords/limiting","display_name":"Limiting","score":0.600408673286438},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5807728171348572},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5649441480636597},{"id":"https://openalex.org/keywords/arbitrary-precision-arithmetic","display_name":"Arbitrary-precision arithmetic","score":0.48020991683006287},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4506533145904541},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.41445788741111755},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.3226377069950104},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3203880190849304},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.1191025972366333},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.0886358916759491}],"concepts":[{"id":"https://openalex.org/C167315692","wikidata":"https://www.wikidata.org/wiki/Q3622729","display_name":"Affine arithmetic","level":3,"score":0.9348823428153992},{"id":"https://openalex.org/C191252586","wikidata":"https://www.wikidata.org/wiki/Q1671453","display_name":"Interval arithmetic","level":3,"score":0.7920336723327637},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.7665358781814575},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.6793442964553833},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.6681011915206909},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.6453360319137573},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.6200243234634399},{"id":"https://openalex.org/C188198153","wikidata":"https://www.wikidata.org/wiki/Q1613840","display_name":"Limiting","level":2,"score":0.600408673286438},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5807728171348572},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5649441480636597},{"id":"https://openalex.org/C83581934","wikidata":"https://www.wikidata.org/wiki/Q527381","display_name":"Arbitrary-precision arithmetic","level":2,"score":0.48020991683006287},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4506533145904541},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.41445788741111755},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.3226377069950104},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3203880190849304},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.1191025972366333},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0886358916759491},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical 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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00607-011-0182-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00607-011-0182-8","pdf_url":null,"source":{"id":"https://openalex.org/S35593046","display_name":"Computing","issn_l":"0010-485X","issn":["0010-485X","1436-5057"],"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":"Computing","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-02632998v1","is_oa":false,"landing_page_url":"https://hal.science/hal-02632998","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Computing, 2012, 94 (2-4), pp.189-201. &#x27E8;10.1007/s00607-011-0182-8&#x27E9;","raw_type":"Journal articles"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.550000011920929}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W132789959","https://openalex.org/W1485650462","https://openalex.org/W1492125336","https://openalex.org/W1528042415","https://openalex.org/W1844548710","https://openalex.org/W1974961081","https://openalex.org/W2041131245","https://openalex.org/W2057656735","https://openalex.org/W2083224951","https://openalex.org/W2095173723","https://openalex.org/W2097162564","https://openalex.org/W2119436275","https://openalex.org/W2155275745","https://openalex.org/W2158223566","https://openalex.org/W2163178677","https://openalex.org/W2797148637","https://openalex.org/W2953390207","https://openalex.org/W3105930569","https://openalex.org/W3138624857","https://openalex.org/W4241861175","https://openalex.org/W4285719527","https://openalex.org/W4301347335"],"related_works":["https://openalex.org/W1531645310","https://openalex.org/W1965905913","https://openalex.org/W2568181300","https://openalex.org/W2181927644","https://openalex.org/W2118036253","https://openalex.org/W1885677000","https://openalex.org/W952765504","https://openalex.org/W2085969366","https://openalex.org/W109635080","https://openalex.org/W4285715689"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":6},{"year":2013,"cited_by_count":4}],"updated_date":"2026-06-19T17:40:00.097472","created_date":"2025-10-10T00:00:00"}
