{"id":"https://openalex.org/W4415190962","doi":"https://doi.org/10.1142/s0218488525400112","title":"The Total Variation Distance for Comparing Non-Additive Measures","display_name":"The Total Variation Distance for Comparing Non-Additive Measures","publication_year":2025,"publication_date":"2025-10-01","ids":{"openalex":"https://openalex.org/W4415190962","doi":"https://doi.org/10.1142/s0218488525400112"},"language":"en","primary_location":{"id":"doi:10.1142/s0218488525400112","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218488525400112","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/A5117391671","display_name":"David Nieto-Barba","orcid":"https://orcid.org/0009-0001-2551-9605"},"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":"David Nieto-Barba","raw_affiliation_strings":["Department of Statistics and O. R., University of Oviedo, C/Leopoldo Calvo Sotelo, 18, 33007, Oviedo, Spain"],"raw_orcid":"https://orcid.org/0009-0001-2551-9605","affiliations":[{"raw_affiliation_string":"Department of Statistics and O. R., University of Oviedo, C/Leopoldo Calvo Sotelo, 18, 33007, Oviedo, Spain","institution_ids":["https://openalex.org/I165339363"]}]},{"author_position":"middle","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 O. R., University of Oviedo, C/Leopoldo Calvo Sotelo, 18, 33007, Oviedo, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Statistics and O. R., University of Oviedo, C/Leopoldo Calvo Sotelo, 18, 33007, Oviedo, Spain","institution_ids":["https://openalex.org/I165339363"]}]},{"author_position":"last","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, C/Leopoldo Calvo Sotelo, 18, 33007, Oviedo, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Statistics and O. R., University of Oviedo, C/Leopoldo Calvo Sotelo, 18, 33007, Oviedo, Spain","institution_ids":["https://openalex.org/I165339363"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I165339363"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.29962201,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"33","issue":"07","first_page":"827","last_page":"853"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9926000237464905,"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":0.9926000237464905,"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/T11303","display_name":"Bayesian Modeling and Causal Inference","score":0.980400025844574,"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/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9678999781608582,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/total-variation","display_name":"Total variation","score":0.765500009059906},{"id":"https://openalex.org/keywords/variation","display_name":"Variation (astronomy)","score":0.6227999925613403},{"id":"https://openalex.org/keywords/infimum-and-supremum","display_name":"Infimum and supremum","score":0.4936999976634979},{"id":"https://openalex.org/keywords/probability-distribution","display_name":"Probability distribution","score":0.4424999952316284},{"id":"https://openalex.org/keywords/distance-measures","display_name":"Distance measures","score":0.43630000948905945},{"id":"https://openalex.org/keywords/statistical-distance","display_name":"Statistical distance","score":0.4147999882698059},{"id":"https://openalex.org/keywords/probability-measure","display_name":"Probability measure","score":0.3831999897956848},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.3783999979496002}],"concepts":[{"id":"https://openalex.org/C62100291","wikidata":"https://www.wikidata.org/wiki/Q1936288","display_name":"Total variation","level":2,"score":0.765500009059906},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7541999816894531},{"id":"https://openalex.org/C2778334786","wikidata":"https://www.wikidata.org/wiki/Q1586270","display_name":"Variation (astronomy)","level":2,"score":0.6227999925613403},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.5479999780654907},{"id":"https://openalex.org/C95611797","wikidata":"https://www.wikidata.org/wiki/Q17502105","display_name":"Infimum and supremum","level":2,"score":0.4936999976634979},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.4424999952316284},{"id":"https://openalex.org/C2639959","wikidata":"https://www.wikidata.org/wiki/Q1344778","display_name":"Distance measures","level":2,"score":0.43630000948905945},{"id":"https://openalex.org/C58948655","wikidata":"https://www.wikidata.org/wiki/Q7604392","display_name":"Statistical distance","level":3,"score":0.4147999882698059},{"id":"https://openalex.org/C21031990","wikidata":"https://www.wikidata.org/wiki/Q355020","display_name":"Probability measure","level":2,"score":0.3831999897956848},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.3783999979496002},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.3693000078201294},{"id":"https://openalex.org/C126780896","wikidata":"https://www.wikidata.org/wiki/Q899871","display_name":"Distortion (music)","level":4,"score":0.35989999771118164},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.35019999742507935},{"id":"https://openalex.org/C3018063660","wikidata":"https://www.wikidata.org/wiki/Q6865448","display_name":"Minimum distance","level":2,"score":0.31279999017715454},{"id":"https://openalex.org/C18294631","wikidata":"https://www.wikidata.org/wiki/Q2621185","display_name":"Location parameter","level":3,"score":0.2863999903202057},{"id":"https://openalex.org/C111110010","wikidata":"https://www.wikidata.org/wiki/Q2627315","display_name":"Convex combination","level":4,"score":0.2858000099658966},{"id":"https://openalex.org/C97933134","wikidata":"https://www.wikidata.org/wiki/Q5374249","display_name":"Empirical probability","level":4,"score":0.2800000011920929},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.2782999873161316},{"id":"https://openalex.org/C2164484","wikidata":"https://www.wikidata.org/wiki/Q5170150","display_name":"Core (optical fiber)","level":2,"score":0.27410000562667847},{"id":"https://openalex.org/C89838059","wikidata":"https://www.wikidata.org/wiki/Q623738","display_name":"Coefficient of variation","level":2,"score":0.2628999948501587},{"id":"https://openalex.org/C43596424","wikidata":"https://www.wikidata.org/wiki/Q98124957","display_name":"Probability and statistics","level":2,"score":0.25060001015663147}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218488525400112","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218488525400112","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5714398524","display_name":null,"funder_award_id":"PID2022-140585NB-I00","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"}],"funders":[{"id":"https://openalex.org/F4320322930","display_name":"Ministerio de Ciencia e Innovaci\u00f3n","ror":"https://ror.org/034900433"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W352468308","https://openalex.org/W1600293573","https://openalex.org/W1989872469","https://openalex.org/W1992335409","https://openalex.org/W1993543201","https://openalex.org/W2013810610","https://openalex.org/W2033810643","https://openalex.org/W2038175742","https://openalex.org/W2049910015","https://openalex.org/W2085648025","https://openalex.org/W2148260836","https://openalex.org/W2167719735","https://openalex.org/W2406470551","https://openalex.org/W2475635286","https://openalex.org/W2506770854","https://openalex.org/W2898831885","https://openalex.org/W3037391209","https://openalex.org/W3037392103","https://openalex.org/W3123056373","https://openalex.org/W4210427261","https://openalex.org/W4311142064","https://openalex.org/W4409799464","https://openalex.org/W4410345929"],"related_works":[],"abstract_inverted_index":{"The":[0,54,71,85],"Total":[1,37,60,82,100],"Variation":[2,38,61,83],"is":[3],"a":[4],"common":[5],"distance":[6,39,62,96],"between":[7,63],"probability":[8,16,34,65],"distributions":[9],"that":[10,24,122],"measures":[11,66,127],"the":[12,36,58,64,68,75,78,81,89,94,99,104,123,129,136],"maximum":[13,79],"difference":[14],"in":[15,43,52,111,141],"among":[17],"all":[18],"events.":[19],"When":[20],"comparing":[21],"non-additive":[22,69,117,126],"measures,":[23,35],"can":[25,40],"be":[26,41],"represented":[27],"by":[28,92],"closed":[29],"and":[30,138],"convex":[31],"sets":[32],"of":[33,80,98,107,125],"extended":[42],"multiple":[44],"ways.":[45],"This":[46],"paper":[47],"explores":[48],"three":[49],"specific":[50],"approaches":[51],"detail.":[53],"first":[55,90],"approach":[56,73,87,109],"considers":[57],"minimum":[59,76],"dominating":[67],"measures.":[70,118],"second":[72],"replaces":[74],"with":[77,128],"distances.":[84],"third":[86],"modifies":[88],"one":[91],"using":[93],"supremum":[95],"instead":[97],"Variation.":[101],"We":[102],"analyse":[103],"main":[105],"properties":[106],"each":[108],"and,":[110],"particular,":[112],"apply":[113],"them":[114],"to":[115,135],"distort":[116],"Finally,":[119],"we":[120],"demonstrate":[121],"distortion":[124],"proposed":[130],"extensions":[131],"are":[132],"closely":[133],"connected":[134],"strong":[137],"weak":[139],"cores":[140],"coalition":[142],"game":[143],"theory.":[144]},"counts_by_year":[],"updated_date":"2026-06-26T08:34:08.712188","created_date":"2025-10-15T00:00:00"}
