{"id":"https://openalex.org/W2186375846","doi":"https://doi.org/10.1142/s0218488516500124","title":"Bivariate <i>p</i>-boxes","display_name":"Bivariate <i>p</i>-boxes","publication_year":2016,"publication_date":"2016-04-01","ids":{"openalex":"https://openalex.org/W2186375846","doi":"https://doi.org/10.1142/s0218488516500124","mag":"2186375846"},"language":"en","primary_location":{"id":"doi:10.1142/s0218488516500124","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218488516500124","pdf_url":null,"source":{"id":"https://openalex.org/S69518169","display_name":"International Journal of Uncertainty Fuzziness and Knowledge-Based Systems","issn_l":"0218-4885","issn":["0218-4885","1793-6411"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://www.worldscientific.com/doi/abs/10.1142/S0218488516500124?src=recsys","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5090597238","display_name":"Renato Pelessoni","orcid":"https://orcid.org/0000-0002-7820-8173"},"institutions":[{"id":"https://openalex.org/I142444530","display_name":"University of Trieste","ror":"https://ror.org/02n742c10","country_code":"IT","type":"education","lineage":["https://openalex.org/I142444530"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Renato Pelessoni","raw_affiliation_strings":["DEAMS Bruno de Finetti, University of Trieste, Piazzale Europa 1, Trieste I-34127, Italy"],"affiliations":[{"raw_affiliation_string":"DEAMS Bruno de Finetti, University of Trieste, Piazzale Europa 1, Trieste I-34127, Italy","institution_ids":["https://openalex.org/I142444530"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5079061219","display_name":"Paolo Vicig","orcid":"https://orcid.org/0000-0001-8842-442X"},"institutions":[{"id":"https://openalex.org/I142444530","display_name":"University of Trieste","ror":"https://ror.org/02n742c10","country_code":"IT","type":"education","lineage":["https://openalex.org/I142444530"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Paolo Vicig","raw_affiliation_strings":["DEAMS Bruno de Finetti, University of Trieste, Piazzale Europa 1, Trieste I-34127, Italy"],"affiliations":[{"raw_affiliation_string":"DEAMS Bruno de Finetti, University of Trieste, Piazzale Europa 1, Trieste I-34127, Italy","institution_ids":["https://openalex.org/I142444530"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078602746","display_name":"Ignacio Montes","orcid":"https://orcid.org/0000-0001-6534-1613"},"institutions":[{"id":"https://openalex.org/I50357001","display_name":"Universidad Carlos III de Madrid","ror":"https://ror.org/03ths8210","country_code":"ES","type":"education","lineage":["https://openalex.org/I50357001"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Ignacio Montes","raw_affiliation_strings":["Department of Statistics, Carlos III University, Campus of Getafe, Getafe, E-28903, Spain"],"affiliations":[{"raw_affiliation_string":"Department of Statistics, Carlos III University, Campus of Getafe, Getafe, E-28903, Spain","institution_ids":["https://openalex.org/I50357001"]}]},{"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":false,"raw_author_name":"Enrique Miranda","raw_affiliation_strings":["Department of Statistics and Operational Research, University of Oviedo, Campus of Llamaquique, Oviedo, E-33007, Spain"],"affiliations":[{"raw_affiliation_string":"Department of Statistics and Operational Research, University of Oviedo, Campus of Llamaquique, Oviedo, E-33007, Spain","institution_ids":["https://openalex.org/I165339363"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5090597238"],"corresponding_institution_ids":["https://openalex.org/I142444530"],"apc_list":null,"apc_paid":null,"fwci":6.6749,"has_fulltext":false,"cited_by_count":39,"citation_normalized_percentile":{"value":0.96668365,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"24","issue":"02","first_page":"229","last_page":"263"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11303","display_name":"Bayesian Modeling and Causal Inference","score":0.9871000051498413,"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"}},"topics":[{"id":"https://openalex.org/T11303","display_name":"Bayesian Modeling and Causal Inference","score":0.9871000051498413,"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"}},{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9830999970436096,"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/T10050","display_name":"Multi-Criteria Decision Making","score":0.9779999852180481,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/bivariate-analysis","display_name":"Bivariate analysis","score":0.8992393016815186},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7528615593910217},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.6914263367652893},{"id":"https://openalex.org/keywords/consistency","display_name":"Consistency (knowledge bases)","score":0.6184478998184204},{"id":"https://openalex.org/keywords/coherence","display_name":"Coherence (philosophical gambling strategy)","score":0.4723576009273529},{"id":"https://openalex.org/keywords/term","display_name":"Term (time)","score":0.4544130563735962},{"id":"https://openalex.org/keywords/cover","display_name":"Cover (algebra)","score":0.4337807297706604},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.41554608941078186},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.4101758897304535},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.38240358233451843},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3670012950897217},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3508461117744446},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.15900573134422302},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09317821264266968}],"concepts":[{"id":"https://openalex.org/C64341305","wikidata":"https://www.wikidata.org/wiki/Q4919225","display_name":"Bivariate analysis","level":2,"score":0.8992393016815186},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7528615593910217},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.6914263367652893},{"id":"https://openalex.org/C2776436953","wikidata":"https://www.wikidata.org/wiki/Q5163215","display_name":"Consistency (knowledge bases)","level":2,"score":0.6184478998184204},{"id":"https://openalex.org/C2781181686","wikidata":"https://www.wikidata.org/wiki/Q4226068","display_name":"Coherence (philosophical gambling strategy)","level":2,"score":0.4723576009273529},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.4544130563735962},{"id":"https://openalex.org/C2780428219","wikidata":"https://www.wikidata.org/wiki/Q16952335","display_name":"Cover (algebra)","level":2,"score":0.4337807297706604},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.41554608941078186},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.4101758897304535},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.38240358233451843},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3670012950897217},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3508461117744446},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.15900573134422302},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09317821264266968},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1142/s0218488516500124","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218488516500124","pdf_url":null,"source":{"id":"https://openalex.org/S69518169","display_name":"International Journal of Uncertainty Fuzziness and Knowledge-Based Systems","issn_l":"0218-4885","issn":["0218-4885","1793-6411"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems","raw_type":"journal-article"},{"id":"pmh:oai:arts.units.it:11368/2874374","is_oa":true,"landing_page_url":"http://www.worldscientific.com/doi/abs/10.1142/S0218488516500124?src=recsys","pdf_url":null,"source":{"id":"https://openalex.org/S4306400480","display_name":"ArTS Archivio della ricerca di Trieste (University of Trieste https://www.units.it/)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I142444530","host_organization_name":"University of Trieste","host_organization_lineage":["https://openalex.org/I142444530"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:digibuo.uniovi.es:10651/39377","is_oa":true,"landing_page_url":"http://hdl.handle.net/10651/39377","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":"","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:digibuo.uniovi.es:10651/39441","is_oa":false,"landing_page_url":"http://hdl.handle.net/10651/39441","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Scopus","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:arts.units.it:11368/2874374","is_oa":true,"landing_page_url":"http://www.worldscientific.com/doi/abs/10.1142/S0218488516500124?src=recsys","pdf_url":null,"source":{"id":"https://openalex.org/S4306400480","display_name":"ArTS Archivio della ricerca di Trieste (University of Trieste https://www.units.it/)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I142444530","host_organization_name":"University of Trieste","host_organization_lineage":["https://openalex.org/I142444530"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.6200000047683716,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1565116490","https://openalex.org/W1579549043","https://openalex.org/W1844548710","https://openalex.org/W1966133825","https://openalex.org/W1967098030","https://openalex.org/W1967284389","https://openalex.org/W1968293352","https://openalex.org/W1992651491","https://openalex.org/W2007633036","https://openalex.org/W2025596401","https://openalex.org/W2053893191","https://openalex.org/W2062147134","https://openalex.org/W2104110157","https://openalex.org/W2119436275","https://openalex.org/W2172298389","https://openalex.org/W2889131700","https://openalex.org/W4249398534"],"related_works":["https://openalex.org/W1721599012","https://openalex.org/W2901858382","https://openalex.org/W4384273653","https://openalex.org/W4372063917","https://openalex.org/W2075768550","https://openalex.org/W3022218857","https://openalex.org/W2177739813","https://openalex.org/W2952760262","https://openalex.org/W2369178846","https://openalex.org/W4298250360"],"abstract_inverted_index":{"A":[0],"p-box":[1],"is":[2],"a":[3,7,13],"simple":[4],"generalization":[5],"of":[6,19,25,31,33,66,79,88,92],"distribution":[8,94],"function,":[9],"useful":[10],"to":[11,27,57,70],"study":[12],"random":[14,34],"number":[15],"in":[16],"the":[17,63],"presence":[18],"imprecision.":[20],"We":[21,41,59],"propose":[22],"an":[23],"extension":[24],"p-boxes":[26,81,90],"cover":[28],"imprecise":[29],"evaluations":[30],"pairs":[32],"numbers":[35],"and":[36,84],"term":[37],"them":[38],"bivariate":[39,93],"p-boxes.":[40],"analyze":[42],"their":[43],"rather":[44],"weak":[45],"consistency":[46],"properties,":[47],"since":[48],"they":[49],"are":[50,82],"at":[51],"best":[52],"(but":[53],"generally":[54],"not)":[55],"equivalent":[56],"2-coherence.":[58],"therefore":[60],"focus":[61],"on":[62,74],"relevant":[64],"subclass":[65],"coherent":[67,71,80],"p-boxes,":[68],"corresponding":[69],"lower":[72],"probabilities":[73],"special":[75],"domains.":[76],"Several":[77],"properties":[78],"investigated":[83],"compared":[85],"with":[86],"those":[87],"(one-dimensional)":[89],"or":[91],"functions.":[95]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}