{"id":"https://openalex.org/W3127979658","doi":"https://doi.org/10.1002/int.22376","title":"Axiomatization and construction of orness measures for aggregation functions","display_name":"Axiomatization and construction of orness measures for aggregation functions","publication_year":2021,"publication_date":"2021-01-31","ids":{"openalex":"https://openalex.org/W3127979658","doi":"https://doi.org/10.1002/int.22376","mag":"3127979658"},"language":"en","primary_location":{"id":"doi:10.1002/int.22376","is_oa":false,"landing_page_url":"https://doi.org/10.1002/int.22376","pdf_url":null,"source":{"id":"https://openalex.org/S57950554","display_name":"International Journal of Intelligent Systems","issn_l":"0884-8173","issn":["0884-8173","1098-111X"],"is_oa":false,"is_in_doaj":false,"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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Intelligent 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/A5017014450","display_name":"Ra\u00fal P\u00e9rez\u2010Fern\u00e1ndez","orcid":"https://orcid.org/0000-0001-6966-1681"},"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":"Ra\u00fal P\u00e9rez\u2010Fern\u00e1ndez","raw_affiliation_strings":["Department of Statistics and O.R. and Mathematics Didactics University of Oviedo  Oviedo Spain","Department of Statistics and O.R. and Mathematics Didactics, University of Oviedo, Oviedo, Spain"],"raw_orcid":"https://orcid.org/0000-0001-6966-1681","affiliations":[{"raw_affiliation_string":"Department of Statistics and O.R. and Mathematics Didactics University of Oviedo  Oviedo Spain","institution_ids":["https://openalex.org/I165339363"]},{"raw_affiliation_string":"Department of Statistics and O.R. and Mathematics Didactics, University of Oviedo, Oviedo, Spain","institution_ids":["https://openalex.org/I165339363"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017215872","display_name":"Gustavo Ochoa","orcid":"https://orcid.org/0000-0002-0221-4171"},"institutions":[{"id":"https://openalex.org/I175051016","display_name":"Universidad Publica de Navarra","ror":"https://ror.org/02z0cah89","country_code":"ES","type":"education","lineage":["https://openalex.org/I175051016"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Gustavo Ochoa","raw_affiliation_strings":["Department of Statistics, Computer Science and Mathematics Universidad P\u00fablica de Navarra  Pamplona Spain","Institute for Advances Materials (INAMAT) Universidad Publica de Navarra  Pamplona Spain","Department of Statistics, Computer Science and Mathematics Universidad P\u00fablica de Navarra Pamplona Spain"],"raw_orcid":"https://orcid.org/0000-0002-0221-4171","affiliations":[{"raw_affiliation_string":"Department of Statistics, Computer Science and Mathematics Universidad P\u00fablica de Navarra  Pamplona Spain","institution_ids":["https://openalex.org/I175051016"]},{"raw_affiliation_string":"Institute for Advances Materials (INAMAT) Universidad Publica de Navarra  Pamplona Spain","institution_ids":["https://openalex.org/I175051016"]},{"raw_affiliation_string":"Department of Statistics, Computer Science and Mathematics Universidad P\u00fablica de Navarra Pamplona Spain","institution_ids":["https://openalex.org/I175051016"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074970655","display_name":"Susana Montes","orcid":"https://orcid.org/0000-0002-4701-2207"},"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":"Susana Montes","raw_affiliation_strings":["Department of Statistics and O.R. and Mathematics Didactics University of Oviedo  Oviedo Spain","Department of Statistics and O.R. and Mathematics Didactics, University of Oviedo, Oviedo, Spain"],"raw_orcid":"https://orcid.org/0000-0002-4701-2207","affiliations":[{"raw_affiliation_string":"Department of Statistics and O.R. and Mathematics Didactics University of Oviedo  Oviedo Spain","institution_ids":["https://openalex.org/I165339363"]},{"raw_affiliation_string":"Department of Statistics and O.R. and Mathematics Didactics, University of Oviedo, Oviedo, Spain","institution_ids":["https://openalex.org/I165339363"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023007721","display_name":"Irene D\u0131\u0301az","orcid":"https://orcid.org/0000-0002-3024-6605"},"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":"Irene D\u00edaz","raw_affiliation_strings":["Department of Computer Science University of Oviedo  Campus de Viesques Gij\u00f3n Spain"],"raw_orcid":"https://orcid.org/0000-0002-3024-6605","affiliations":[{"raw_affiliation_string":"Department of Computer Science University of Oviedo  Campus de Viesques Gij\u00f3n Spain","institution_ids":["https://openalex.org/I165339363"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085226753","display_name":"Javier Fern\u00e1ndez","orcid":"https://orcid.org/0000-0003-4427-3935"},"institutions":[{"id":"https://openalex.org/I175051016","display_name":"Universidad Publica de Navarra","ror":"https://ror.org/02z0cah89","country_code":"ES","type":"education","lineage":["https://openalex.org/I175051016"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Javier Fern\u00e1ndez","raw_affiliation_strings":["Department of Statistics, Computer Science and Mathematics Universidad P\u00fablica de Navarra  Pamplona Spain","Institute of Smart Cities Universidad P\u00fablica de Navarra  Pamplona Spain"],"raw_orcid":"https://orcid.org/0000-0003-4427-3935","affiliations":[{"raw_affiliation_string":"Department of Statistics, Computer Science and Mathematics Universidad P\u00fablica de Navarra  Pamplona Spain","institution_ids":["https://openalex.org/I175051016"]},{"raw_affiliation_string":"Institute of Smart Cities Universidad P\u00fablica de Navarra  Pamplona Spain","institution_ids":["https://openalex.org/I175051016"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027737844","display_name":"Daniel Paternain","orcid":null},"institutions":[{"id":"https://openalex.org/I175051016","display_name":"Universidad Publica de Navarra","ror":"https://ror.org/02z0cah89","country_code":"ES","type":"education","lineage":["https://openalex.org/I175051016"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Daniel Paternain","raw_affiliation_strings":["Department of Statistics, Computer Science and Mathematics Universidad P\u00fablica de Navarra  Pamplona Spain","Institute of Smart Cities Universidad P\u00fablica de Navarra  Pamplona Spain"],"raw_orcid":"https://orcid.org/0000-0002-5845-887X","affiliations":[{"raw_affiliation_string":"Department of Statistics, Computer Science and Mathematics Universidad P\u00fablica de Navarra  Pamplona Spain","institution_ids":["https://openalex.org/I175051016"]},{"raw_affiliation_string":"Institute of Smart Cities Universidad P\u00fablica de Navarra  Pamplona Spain","institution_ids":["https://openalex.org/I175051016"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5049375194","display_name":"Humberto Bustince","orcid":"https://orcid.org/0000-0002-1279-6195"},"institutions":[{"id":"https://openalex.org/I175051016","display_name":"Universidad Publica de Navarra","ror":"https://ror.org/02z0cah89","country_code":"ES","type":"education","lineage":["https://openalex.org/I175051016"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Humberto Bustince","raw_affiliation_strings":["Department of Statistics, Computer Science and Mathematics Universidad P\u00fablica de Navarra  Pamplona Spain","Institute of Smart Cities Universidad P\u00fablica de Navarra  Pamplona Spain"],"raw_orcid":"https://orcid.org/0000-0002-1279-6195","affiliations":[{"raw_affiliation_string":"Department of Statistics, Computer Science and Mathematics Universidad P\u00fablica de Navarra  Pamplona Spain","institution_ids":["https://openalex.org/I175051016"]},{"raw_affiliation_string":"Institute of Smart Cities Universidad P\u00fablica de Navarra  Pamplona Spain","institution_ids":["https://openalex.org/I175051016"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5017014450"],"corresponding_institution_ids":["https://openalex.org/I165339363"],"apc_list":{"value":2500,"currency":"USD","value_usd":2500},"apc_paid":null,"fwci":0.6935,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.70670042,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"36","issue":"5","first_page":"2208","last_page":"2228"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9997000098228455,"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":0.9997000098228455,"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":0.948199987411499,"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":0.9406999945640564,"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/axiom","display_name":"Axiom","score":0.8365097045898438},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.823588490486145},{"id":"https://openalex.org/keywords/axiomatic-system","display_name":"Axiomatic system","score":0.6570754647254944},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.6102479696273804},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5399776101112366},{"id":"https://openalex.org/keywords/choquet-integral","display_name":"Choquet integral","score":0.4132537543773651},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.40544965863227844},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3587360382080078},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.08126607537269592},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07500216364860535},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.053691595792770386}],"concepts":[{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.8365097045898438},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.823588490486145},{"id":"https://openalex.org/C125773388","wikidata":"https://www.wikidata.org/wiki/Q792542","display_name":"Axiomatic system","level":3,"score":0.6570754647254944},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.6102479696273804},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5399776101112366},{"id":"https://openalex.org/C112799922","wikidata":"https://www.wikidata.org/wiki/Q5104911","display_name":"Choquet integral","level":3,"score":0.4132537543773651},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.40544965863227844},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3587360382080078},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.08126607537269592},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07500216364860535},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.053691595792770386},{"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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:10.1002/int.22376","is_oa":false,"landing_page_url":"https://doi.org/10.1002/int.22376","pdf_url":null,"source":{"id":"https://openalex.org/S57950554","display_name":"International Journal of Intelligent Systems","issn_l":"0884-8173","issn":["0884-8173","1098-111X"],"is_oa":false,"is_in_doaj":false,"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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Intelligent Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.7699999809265137,"display_name":"Peace, Justice and strong institutions"}],"awards":[{"id":"https://openalex.org/G1754286351","display_name":null,"funder_award_id":"PID2019\u2010108392GB\u2010I00","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G8353643820","display_name":null,"funder_award_id":"FC\u2010GRUPIN\u2010IDI/2018/000176","funder_id":"https://openalex.org/F4320325113","funder_display_name":"Fundaci\u00f3n para el Fomento en Asturias de la Investigaci\u00f3n Cient\u00edfica Aplicada y la Tecnolog\u00eda"}],"funders":[{"id":"https://openalex.org/F4320322930","display_name":"Ministerio de Ciencia e Innovaci\u00f3n","ror":"https://ror.org/034900433"},{"id":"https://openalex.org/F4320325113","display_name":"Fundaci\u00f3n para el Fomento en Asturias de la Investigaci\u00f3n Cient\u00edfica Aplicada y la Tecnolog\u00eda","ror":"https://ror.org/04kdcbs26"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W1533336287","https://openalex.org/W1968710826","https://openalex.org/W2003452701","https://openalex.org/W2033199380","https://openalex.org/W2039379871","https://openalex.org/W2060878354","https://openalex.org/W2060907774","https://openalex.org/W2067831922","https://openalex.org/W2098367511","https://openalex.org/W2109104903","https://openalex.org/W2114065574","https://openalex.org/W2120026065","https://openalex.org/W2138068641","https://openalex.org/W2191664847","https://openalex.org/W2582765108","https://openalex.org/W2613773564","https://openalex.org/W2756029633","https://openalex.org/W2772169357","https://openalex.org/W2801276705","https://openalex.org/W2887983464","https://openalex.org/W2890458042","https://openalex.org/W2921729277","https://openalex.org/W2970218296","https://openalex.org/W3085217072","https://openalex.org/W4236700867","https://openalex.org/W4240172991","https://openalex.org/W4252793191"],"related_works":["https://openalex.org/W2962692142","https://openalex.org/W1771651560","https://openalex.org/W4300725361","https://openalex.org/W2386897142","https://openalex.org/W1605727975","https://openalex.org/W4232127999","https://openalex.org/W1640180556","https://openalex.org/W329313523","https://openalex.org/W2119409761","https://openalex.org/W2262032878"],"abstract_inverted_index":{"The":[0,143],"notion":[1],"of":[2,25,36,58,68,79,92,100,118,125,146],"an":[3,30,37,47,97,115,137],"orness":[4,31,69,80,101,119,138],"measure":[5,32,81,102,120,139],"for":[6,50,82,103,121,136,140],"aggregation":[7,38,59,126,141],"functions":[8,87],"has":[9],"been":[10],"a":[11,65,76,90],"relevant":[12],"study":[13],"subject":[14],"whose":[15],"history":[16],"can":[17],"be":[18],"traced":[19],"back":[20],"to":[21,40,64],"the":[22,34,41,56,122,147],"early":[23],"works":[24],"Dujmovi\u0107":[26],"in":[27,46,54,155],"1973.":[28],"Intuitively,":[29],"quantifies":[33],"similarity":[35],"function":[39,43,60],"\u201cor\u201d":[42],"and":[44,88,113,151],"results":[45],"essential":[48],"tool":[49],"decision":[51],"engineering,":[52],"field":[53],"which":[55],"choice":[57],"is":[61],"sometimes":[62],"restricted":[63],"desired":[66],"value":[67],"(orness-directed":[70],"aggregation).":[71],"In":[72,106],"1988,":[73],"Yager":[74],"presented":[75],"particular":[77,144],"example":[78],"ordered":[83],"weighted":[84],"averaging":[85],"(OWA)":[86],"initiated":[89],"series":[91],"contributions":[93],"aiming":[94],"at":[95],"proposing":[96,131],"axiomatic":[98,116],"definition":[99,117],"OWA":[104],"functions.":[105,127,142],"this":[107],"paper,":[108],"we":[109],"go":[110],"much":[111],"further":[112],"present":[114],"whole":[123],"family":[124],"We":[128],"end":[129],"by":[130],"two":[132],"natural":[133],"construction":[134],"methods":[135],"examples":[145],"(discrete)":[148],"Choquet":[149],"integral":[150],"uninorms":[152],"are":[153],"studied":[154],"detail.":[156]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}