{"id":"https://openalex.org/W2476617414","doi":"https://doi.org/10.1080/03081079.2017.1305960","title":"Bivariate p-boxes and maxitive functions","display_name":"Bivariate p-boxes and maxitive functions","publication_year":2017,"publication_date":"2017-03-31","ids":{"openalex":"https://openalex.org/W2476617414","doi":"https://doi.org/10.1080/03081079.2017.1305960","mag":"2476617414"},"language":"en","primary_location":{"id":"doi:10.1080/03081079.2017.1305960","is_oa":false,"landing_page_url":"https://doi.org/10.1080/03081079.2017.1305960","pdf_url":null,"source":{"id":"https://openalex.org/S145553572","display_name":"International Journal of General Systems","issn_l":"0308-1079","issn":["0308-1079","1026-7492","1563-5104"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of General Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/10651/44625","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5078602746","display_name":"Ignacio Montes","orcid":"https://orcid.org/0000-0001-6534-1613"},"institutions":[{"id":"https://openalex.org/I165339363","display_name":"Universidad de Oviedo","ror":"https://ror.org/006gksa02","country_code":"ES","type":"education","lineage":["https://openalex.org/I165339363"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Ignacio Montes","raw_affiliation_strings":["Department of Statistics and O.R., University of Oviedo, Spain"],"affiliations":[{"raw_affiliation_string":"Department of Statistics and O.R., University of Oviedo, Spain","institution_ids":["https://openalex.org/I165339363"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5025386662","display_name":"Enrique Miranda","orcid":"https://orcid.org/0000-0001-7763-3779"},"institutions":[{"id":"https://openalex.org/I165339363","display_name":"Universidad de Oviedo","ror":"https://ror.org/006gksa02","country_code":"ES","type":"education","lineage":["https://openalex.org/I165339363"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Enrique Miranda","raw_affiliation_strings":["Department of Statistics and O.R., University of Oviedo, Spain"],"affiliations":[{"raw_affiliation_string":"Department of Statistics and O.R., University of Oviedo, Spain","institution_ids":["https://openalex.org/I165339363"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5025386662"],"corresponding_institution_ids":["https://openalex.org/I165339363"],"apc_list":null,"apc_paid":null,"fwci":0.775,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.74693374,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"46","issue":"4","first_page":"354","last_page":"385"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9977999925613403,"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/T11303","display_name":"Bayesian Modeling and Causal Inference","score":0.9904999732971191,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/bivariate-analysis","display_name":"Bivariate analysis","score":0.8762956261634827},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8056163787841797},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.5827897191047668},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.5598071217536926},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.510303258895874},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4940996468067169},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.44756028056144714},{"id":"https://openalex.org/keywords/joint-probability-distribution","display_name":"Joint probability distribution","score":0.42690691351890564},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.3781701922416687},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.34513264894485474},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.14059612154960632},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.08354982733726501}],"concepts":[{"id":"https://openalex.org/C64341305","wikidata":"https://www.wikidata.org/wiki/Q4919225","display_name":"Bivariate analysis","level":2,"score":0.8762956261634827},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8056163787841797},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.5827897191047668},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.5598071217536926},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.510303258895874},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4940996468067169},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.44756028056144714},{"id":"https://openalex.org/C18653775","wikidata":"https://www.wikidata.org/wiki/Q1333358","display_name":"Joint probability distribution","level":2,"score":0.42690691351890564},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.3781701922416687},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.34513264894485474},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.14059612154960632},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.08354982733726501},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","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":2,"locations":[{"id":"doi:10.1080/03081079.2017.1305960","is_oa":false,"landing_page_url":"https://doi.org/10.1080/03081079.2017.1305960","pdf_url":null,"source":{"id":"https://openalex.org/S145553572","display_name":"International Journal of General Systems","issn_l":"0308-1079","issn":["0308-1079","1026-7492","1563-5104"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of General Systems","raw_type":"journal-article"},{"id":"pmh:oai:digibuo.uniovi.es:10651/44625","is_oa":true,"landing_page_url":"http://hdl.handle.net/10651/44625","pdf_url":null,"source":{"id":"https://openalex.org/S4306402334","display_name":"Consultation of the Doctoral Thesis Database (TESEO) (Ministerio de Educaci\u00f3n, Cultura y Deporte)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2801976130","host_organization_name":"Ministerio de Educaci\u00f3n Cultura y Deporte","host_organization_lineage":["https://openalex.org/I2801976130"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"WOS:000406346800003","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:digibuo.uniovi.es:10651/44625","is_oa":true,"landing_page_url":"http://hdl.handle.net/10651/44625","pdf_url":null,"source":{"id":"https://openalex.org/S4306402334","display_name":"Consultation of the Doctoral Thesis Database (TESEO) (Ministerio de Educaci\u00f3n, Cultura y Deporte)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2801976130","host_organization_name":"Ministerio de Educaci\u00f3n Cultura y Deporte","host_organization_lineage":["https://openalex.org/I2801976130"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"WOS:000406346800003","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[{"score":0.49000000953674316,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[{"id":"https://openalex.org/G2385025973","display_name":null,"funder_award_id":"TIN2014-59543-P","funder_id":"https://openalex.org/F4320335204","funder_display_name":"Secretar\u00eda de Estado de Investigaci\u00f3n, Desarrollo e Innovaci\u00f3n"}],"funders":[{"id":"https://openalex.org/F4320335204","display_name":"Secretar\u00eda de Estado de Investigaci\u00f3n, Desarrollo e Innovaci\u00f3n","ror":"https://ror.org/034900433"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W352468308","https://openalex.org/W1844548710","https://openalex.org/W1955375869","https://openalex.org/W1967284389","https://openalex.org/W1968293352","https://openalex.org/W1969344405","https://openalex.org/W1991756664","https://openalex.org/W1993976603","https://openalex.org/W1995945562","https://openalex.org/W2007633036","https://openalex.org/W2019950953","https://openalex.org/W2025686534","https://openalex.org/W2033810643","https://openalex.org/W2040428229","https://openalex.org/W2057656735","https://openalex.org/W2062726300","https://openalex.org/W2063418763","https://openalex.org/W2067590323","https://openalex.org/W2104110157","https://openalex.org/W2119436275","https://openalex.org/W2128043291","https://openalex.org/W2136416183","https://openalex.org/W2145896481","https://openalex.org/W2159406074","https://openalex.org/W2160209952","https://openalex.org/W2186375846","https://openalex.org/W2524847956","https://openalex.org/W2797148637","https://openalex.org/W3090632489","https://openalex.org/W4210427261","https://openalex.org/W4214637188","https://openalex.org/W4230588984","https://openalex.org/W4301347335"],"related_works":["https://openalex.org/W2383655479","https://openalex.org/W4235062529","https://openalex.org/W2152457604","https://openalex.org/W2117322591","https://openalex.org/W1978117141","https://openalex.org/W3003594144","https://openalex.org/W2026215830","https://openalex.org/W2769554013","https://openalex.org/W2588282541","https://openalex.org/W1189572589"],"abstract_inverted_index":{"We":[0],"give":[1],"necessary":[2],"and":[3,26,41],"sufficient":[4],"conditions":[5,35],"for":[6],"a":[7,16,58,67],"maxitive":[8,68],"function":[9,64],"to":[10,33,80],"be":[11],"the":[12,39,46,75],"upper":[13,42,62],"probability":[14],"of":[15,21,38,45,77],"bivariate":[17,47,55],"p-box,":[18],"in":[19,36],"terms":[20,37],"its":[22,27],"associated":[23],"possibility":[24],"distribution":[25,43,63],"focal":[28],"sets.":[29],"This":[30],"allows":[31],"us":[32],"derive":[34],"lower":[40,60],"functions":[44],"p-box.":[48],"In":[49,70],"particular,":[50],"we":[51,72],"prove":[52],"that":[53],"only":[54],"p-boxes":[56],"with":[57],"non-informative":[59],"or":[61],"may":[65],"induce":[66],"function.":[69],"addition,":[71],"also":[73],"investigate":[74],"extension":[76],"Sklar\u2019s":[78],"theorem":[79],"this":[81],"context.":[82]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2016-08-23T00:00:00"}
