{"id":"https://openalex.org/W1964031988","doi":"https://doi.org/10.1142/s0218488511006848","title":"ON THE CLASSES OF COPULAS AND QUASI-COPULAS WITH A GIVEN DIAGONAL SECTION","display_name":"ON THE CLASSES OF COPULAS AND QUASI-COPULAS WITH A GIVEN DIAGONAL SECTION","publication_year":2011,"publication_date":"2011-01-19","ids":{"openalex":"https://openalex.org/W1964031988","doi":"https://doi.org/10.1142/s0218488511006848","mag":"1964031988"},"language":"en","primary_location":{"id":"doi:10.1142/s0218488511006848","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218488511006848","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5071731167","display_name":"Fabrizio Durante","orcid":"https://orcid.org/0000-0002-4899-1080"},"institutions":[{"id":"https://openalex.org/I121883995","display_name":"Johannes Kepler University of Linz","ror":"https://ror.org/052r2xn60","country_code":"AT","type":"education","lineage":["https://openalex.org/I121883995"]},{"id":"https://openalex.org/I171543936","display_name":"Free University of Bozen-Bolzano","ror":"https://ror.org/012ajp527","country_code":"IT","type":"education","lineage":["https://openalex.org/I171543936"]}],"countries":["AT","IT"],"is_corresponding":false,"raw_author_name":"FABRIZIO DURANTE","raw_affiliation_strings":["Department of Knowledge-Based Mathematical Systems, Johannes Kepler University, Linz, Austria","School of Economics and Management, Free University of Bozen-Bolzano, Bolzano, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Knowledge-Based Mathematical Systems, Johannes Kepler University, Linz, Austria","institution_ids":["https://openalex.org/I121883995"]},{"raw_affiliation_string":"School of Economics and Management, Free University of Bozen-Bolzano, Bolzano, Italy","institution_ids":["https://openalex.org/I171543936"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5003558655","display_name":"Juan Fern\u00e1ndez S\u00e1nchez","orcid":"https://orcid.org/0000-0002-2577-8404"},"institutions":[{"id":"https://openalex.org/I52354020","display_name":"University of Almer\u00eda","ror":"https://ror.org/003d3xx08","country_code":"ES","type":"education","lineage":["https://openalex.org/I52354020"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"JUAN FERN\u00c1NDEZ-S\u00c1NCHEZ","raw_affiliation_strings":["Grupo de Investigaci\u00f3n de An\u00e1lisis Matem\u00e1tico, Universidad de Almer\u00eda, La Ca\u00f1ada de San Urbano, Almer\u00eda, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Grupo de Investigaci\u00f3n de An\u00e1lisis Matem\u00e1tico, Universidad de Almer\u00eda, La Ca\u00f1ada de San Urbano, Almer\u00eda, Spain","institution_ids":["https://openalex.org/I52354020"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.8064,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.82025427,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"19","issue":"01","first_page":"1","last_page":"10"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12404","display_name":"Mathematical Approximation and Integration","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12404","display_name":"Mathematical Approximation and Integration","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11166","display_name":"Analytic Number Theory Research","score":0.9496999979019165,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9451000094413757,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/diagonal","display_name":"Diagonal","score":0.8318345546722412},{"id":"https://openalex.org/keywords/section","display_name":"Section (typography)","score":0.7652686834335327},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6957639455795288},{"id":"https://openalex.org/keywords/copula","display_name":"Copula (linguistics)","score":0.677751898765564},{"id":"https://openalex.org/keywords/singleton","display_name":"Singleton","score":0.6775979995727539},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.6139901876449585},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5607800483703613},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4835888743400574},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.36653703451156616},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.13758015632629395},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.10581716895103455},{"id":"https://openalex.org/keywords/econometrics","display_name":"Econometrics","score":0.059415847063064575},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.04411855340003967}],"concepts":[{"id":"https://openalex.org/C130367717","wikidata":"https://www.wikidata.org/wiki/Q189791","display_name":"Diagonal","level":2,"score":0.8318345546722412},{"id":"https://openalex.org/C2780129039","wikidata":"https://www.wikidata.org/wiki/Q1931107","display_name":"Section (typography)","level":2,"score":0.7652686834335327},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6957639455795288},{"id":"https://openalex.org/C17618745","wikidata":"https://www.wikidata.org/wiki/Q207509","display_name":"Copula (linguistics)","level":2,"score":0.677751898765564},{"id":"https://openalex.org/C117354338","wikidata":"https://www.wikidata.org/wiki/Q1165112","display_name":"Singleton","level":3,"score":0.6775979995727539},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.6139901876449585},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5607800483703613},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4835888743400574},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.36653703451156616},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.13758015632629395},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.10581716895103455},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.059415847063064575},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.04411855340003967},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C2779234561","wikidata":"https://www.wikidata.org/wiki/Q11995","display_name":"Pregnancy","level":2,"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/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s0218488511006848","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218488511006848","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:alma.39UBZ_INST:11313308730001241","is_oa":false,"landing_page_url":"https://bia.unibz.it/esploro/outputs/journalArticle/On-the-classes-of-copulas-and/991006719198501241","pdf_url":null,"source":{"id":"https://openalex.org/S4210197018","display_name":"View","issn_l":"2688-268X","issn":["2688-268X","2688-3988"],"is_oa":false,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W13378029","https://openalex.org/W18963928","https://openalex.org/W105701950","https://openalex.org/W105785986","https://openalex.org/W320427475","https://openalex.org/W386095932","https://openalex.org/W409136105","https://openalex.org/W1763099085","https://openalex.org/W1989764297","https://openalex.org/W2006309149","https://openalex.org/W2012668626","https://openalex.org/W2023184080","https://openalex.org/W2024311735","https://openalex.org/W2027079940","https://openalex.org/W2027141038","https://openalex.org/W2042579128","https://openalex.org/W2051270173","https://openalex.org/W2056649455","https://openalex.org/W2057805381","https://openalex.org/W2066459312","https://openalex.org/W2071843946","https://openalex.org/W2073449793","https://openalex.org/W2085822457","https://openalex.org/W2094803662","https://openalex.org/W2135956473","https://openalex.org/W2224939621","https://openalex.org/W2265326515","https://openalex.org/W2295130398","https://openalex.org/W2394793857","https://openalex.org/W2395186163","https://openalex.org/W2479980505","https://openalex.org/W2507039649","https://openalex.org/W2798180542","https://openalex.org/W2912792427","https://openalex.org/W4234672050","https://openalex.org/W4242348883","https://openalex.org/W4252793191","https://openalex.org/W4294009563"],"related_works":["https://openalex.org/W747331120","https://openalex.org/W2351588585","https://openalex.org/W4233660055","https://openalex.org/W2076370897","https://openalex.org/W2906951486","https://openalex.org/W3125437892","https://openalex.org/W3017548681","https://openalex.org/W2023184080","https://openalex.org/W2012668626","https://openalex.org/W1971810600"],"abstract_inverted_index":{"Let":[0],"[Formula:":[1,5,33,37,45],"see":[2,6,34,38,46],"text]":[3,7,35,39],"and":[4,15,36],"be,":[8],"respectively,":[9],"the":[10],"classes":[11],"of":[12,41,52],"all":[13],"copulas":[14,53],"quasi-copulas":[16],"whose":[17],"diagonal":[18,58],"section":[19,59],"is":[20,60],"\u03b4.":[21],"We":[22],"determine":[23],"under":[24],"which":[25],"conditions":[26],"on":[27],"\u03b4":[28],"we":[29],"have:":[30],"(a)":[31],"both":[32],"consist":[40],"a":[42,49,55],"singleton;":[43],"(b)":[44],"text].":[47],"Moreover,":[48],"simple":[50],"construction":[51],"with":[54],"given":[56],"convex":[57],"introduced.":[61]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}