{"id":"https://openalex.org/W3014573772","doi":"https://doi.org/10.1109/tfuzz.2020.2984203","title":"Location-Free Robust Scale Estimates for Fuzzy Data","display_name":"Location-Free Robust Scale Estimates for Fuzzy Data","publication_year":2020,"publication_date":"2020-04-02","ids":{"openalex":"https://openalex.org/W3014573772","doi":"https://doi.org/10.1109/tfuzz.2020.2984203","mag":"3014573772"},"language":"en","primary_location":{"id":"doi:10.1109/tfuzz.2020.2984203","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tfuzz.2020.2984203","pdf_url":null,"source":{"id":"https://openalex.org/S134177497","display_name":"IEEE Transactions on Fuzzy Systems","issn_l":"1063-6706","issn":["1063-6706","1941-0034"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Fuzzy 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/A5017616082","display_name":"Sara de la Rosa de S\u00e1a","orcid":null},"institutions":[{"id":"https://openalex.org/I4210166274","display_name":"Instituto de Investigaci\u00f3n Sanitaria del Principado de Asturias","ror":"https://ror.org/05xzb7x97","country_code":"ES","type":"facility","lineage":["https://openalex.org/I4210166274"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Sara de la Rosa de Saa","raw_affiliation_strings":["Oficina de Evaluación de Tecnologías Sanitarias del Principado de Asturias, Oviedo, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Oficina de Evaluación de Tecnologías Sanitarias del Principado de Asturias, Oviedo, Spain","institution_ids":["https://openalex.org/I4210166274"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017163574","display_name":"Mar\u0131\u0301a Asunci\u00f3n Lubiano","orcid":"https://orcid.org/0000-0002-9847-5164"},"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":"Maria Asuncion Lubiano","raw_affiliation_strings":["Department of Statistics, O.R. and D.M., University of Oviedo, Oviedo, Spain"],"raw_orcid":"https://orcid.org/0000-0002-9847-5164","affiliations":[{"raw_affiliation_string":"Department of Statistics, O.R. and D.M., University of Oviedo, Oviedo, Spain","institution_ids":["https://openalex.org/I165339363"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025358973","display_name":"Beatriz Sinova","orcid":"https://orcid.org/0000-0002-2495-1412"},"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":"Beatriz Sinova","raw_affiliation_strings":["Department of Statistics, O.R. and D.M., University of Oviedo, Oviedo, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Statistics, O.R. and D.M., University of Oviedo, Oviedo, Spain","institution_ids":["https://openalex.org/I165339363"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018367525","display_name":"Mar\u0131\u0301a \u00c1ngeles Gil","orcid":"https://orcid.org/0000-0003-0096-104X"},"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":"Maria Angeles Gil","raw_affiliation_strings":["Department of Statistics, O.R. and D.M., University of Oviedo, Oviedo, Spain"],"raw_orcid":"https://orcid.org/0000-0003-0096-104X","affiliations":[{"raw_affiliation_string":"Department of Statistics, O.R. and D.M., University of Oviedo, Oviedo, Spain","institution_ids":["https://openalex.org/I165339363"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5041191852","display_name":"Peter Filzmoser","orcid":"https://orcid.org/0000-0002-8014-4682"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Peter Filzmoser","raw_affiliation_strings":["Institut f\u00fcr Stochastik und Wirtschaftsmathematik, Technische Universität Wien, Wien, Austria"],"raw_orcid":"https://orcid.org/0000-0002-8014-4682","affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Stochastik und Wirtschaftsmathematik, Technische Universität Wien, Wien, Austria","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5017616082"],"corresponding_institution_ids":["https://openalex.org/I4210166274"],"apc_list":null,"apc_paid":null,"fwci":1.7652,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.86043024,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"29","issue":"6","first_page":"1682","last_page":"1694"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":1.0,"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"}},{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9990000128746033,"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/T11871","display_name":"Advanced Statistical Methods and Models","score":0.9955999851226807,"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/outlier","display_name":"Outlier","score":0.7967209219932556},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.622520923614502},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.588401198387146},{"id":"https://openalex.org/keywords/scale","display_name":"Scale (ratio)","score":0.5354639887809753},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.5229595303535461},{"id":"https://openalex.org/keywords/data-set","display_name":"Data set","score":0.48343098163604736},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.48086363077163696},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.4729599356651306},{"id":"https://openalex.org/keywords/data-point","display_name":"Data point","score":0.4537544250488281},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.42320823669433594},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.4203246831893921},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.3134364187717438},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.19873759150505066}],"concepts":[{"id":"https://openalex.org/C79337645","wikidata":"https://www.wikidata.org/wiki/Q779824","display_name":"Outlier","level":2,"score":0.7967209219932556},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.622520923614502},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.588401198387146},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.5354639887809753},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.5229595303535461},{"id":"https://openalex.org/C58489278","wikidata":"https://www.wikidata.org/wiki/Q1172284","display_name":"Data set","level":2,"score":0.48343098163604736},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.48086363077163696},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.4729599356651306},{"id":"https://openalex.org/C21080849","wikidata":"https://www.wikidata.org/wiki/Q13611879","display_name":"Data point","level":2,"score":0.4537544250488281},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.42320823669433594},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.4203246831893921},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.3134364187717438},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.19873759150505066},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tfuzz.2020.2984203","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tfuzz.2020.2984203","pdf_url":null,"source":{"id":"https://openalex.org/S134177497","display_name":"IEEE Transactions on Fuzzy Systems","issn_l":"1063-6706","issn":["1063-6706","1941-0034"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Fuzzy Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3429836386","display_name":null,"funder_award_id":"GRUPIN-IDI2018-000132","funder_id":"https://openalex.org/F4320335322","funder_display_name":"European Regional Development Fund"}],"funders":[{"id":"https://openalex.org/F4320335322","display_name":"European Regional Development Fund","ror":"https://ror.org/00k4n6c32"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":42,"referenced_works":["https://openalex.org/W93985499","https://openalex.org/W131649693","https://openalex.org/W134618143","https://openalex.org/W576410320","https://openalex.org/W1965660845","https://openalex.org/W1965752003","https://openalex.org/W1977914365","https://openalex.org/W1979756370","https://openalex.org/W1999697669","https://openalex.org/W2005831848","https://openalex.org/W2020836353","https://openalex.org/W2034392414","https://openalex.org/W2037964085","https://openalex.org/W2050735597","https://openalex.org/W2053453271","https://openalex.org/W2062264823","https://openalex.org/W2069608252","https://openalex.org/W2082010447","https://openalex.org/W2086204785","https://openalex.org/W2093827652","https://openalex.org/W2100097431","https://openalex.org/W2119957433","https://openalex.org/W2157041604","https://openalex.org/W2168435616","https://openalex.org/W2196753870","https://openalex.org/W2221441649","https://openalex.org/W2343889941","https://openalex.org/W2546996966","https://openalex.org/W2548954920","https://openalex.org/W2623000391","https://openalex.org/W2792434678","https://openalex.org/W3003022110","https://openalex.org/W4213251304","https://openalex.org/W4229530126","https://openalex.org/W4240278385","https://openalex.org/W4241736979","https://openalex.org/W4242617520","https://openalex.org/W4245152641","https://openalex.org/W4285719527","https://openalex.org/W4399551912","https://openalex.org/W6605283614","https://openalex.org/W6773721189"],"related_works":["https://openalex.org/W71955863","https://openalex.org/W2359185137","https://openalex.org/W2610918223","https://openalex.org/W2567300168","https://openalex.org/W4384210102","https://openalex.org/W2789383625","https://openalex.org/W2801459815","https://openalex.org/W1486684451","https://openalex.org/W4361273540","https://openalex.org/W2116249946"],"abstract_inverted_index":{"In":[0,92,118],"analyzing":[1],"fuzzy-valued":[2,209],"imprecise":[3],"data":[4,15,35,68,105,130,161,191,252],"statistically,":[5],"scale":[6,55,201,219,264],"measures/estimates":[7,13],"play":[8],"an":[9,52,255],"important":[10,256],"role.":[11],"Scale":[12],"of":[14,33,54,84,125,158,180,199,249,258,263],"sets":[16,106],"are":[17,147],"often":[18],"considered,":[19],"among":[20],"others,":[21],"to":[22,26,63,74,86,90,120,214,222],"descriptively":[23],"summarize":[24],"them,":[25],"compare":[27],"the":[28,31,76,82,95,100,121,126,151,156,159,178,181,188,193,197,225,247,261],"dispersion":[29],"or":[30,88],"spread":[32],"different":[34],"sets,":[36],"standardize":[37],"data,":[38,246],"state":[39],"rules":[40],"for":[41,103,128,243],"detecting":[42],"outliers,":[43],"formulate":[44],"regression":[45],"objective":[46],"functions,":[47],"etc.":[48],"To":[49],"be":[50,70,137,164,204,232,238],"robust,":[51],"estimate":[53,77],"should":[56,69],"have":[57],"a":[58],"finite":[59],"breakdown":[60],"point":[61],"close":[62],"50%":[64],"(i.e.,":[65],"around":[66],"half":[67],"replaced":[71],"by":[72],"\u201coutliers\u201d":[73],"make":[75],"break":[78],"down,":[79],"either":[80],"in":[81,142,154,207,260],"sense":[83],"exploding":[85],"infinity":[87],"imploding":[89],"zero).":[91],"this":[93,208],"respect,":[94],"median":[96,101],"distance":[97],"deviation":[98],"about":[99],"(MDD)":[102],"fuzzy":[104,129,160,182,244],"has":[107,115],"already":[108],"been":[109,116],"introduced":[110],"and":[111,135,173,192,221,240],"its":[112],"robust":[113,217],"behavior":[114],"proved.":[117],"contrast":[119],"real-valued":[122],"case,":[123],"computation":[124],"MDD":[127],"is":[131],"much":[132],"more":[133],"complex":[134],"cannot":[136,163],"exactly":[138,165,241],"but":[139,167],"approximately":[140],"performed":[141],"general.":[143],"These":[144],"computational":[145],"inconveniences":[146],"mainly":[148],"associated":[149],"with":[150,187],"fact":[152],"that,":[153],"general,":[155],"\u201cmedian":[157],"set\u201d":[162],"calculated,":[166],"simply":[168],"approximated":[169],"through":[170],"some":[171,216],"levels,":[172],"it":[174,230],"does":[175],"not":[176,253],"preserve":[177],"shape":[179],"data.":[183],"The":[184],"same":[185],"happens":[186],"distances":[189],"between":[190],"approximate":[194],"median.":[195],"Consequently,":[196],"use":[198],"location-free":[200],"measures":[202],"would":[203],"especially":[205],"appropriate-to-use":[206],"environment.":[210],"This":[211],"article":[212],"aims":[213],"extend":[215],"global":[218],"estimates,":[220],"prove":[223],"that":[224,234],"extension":[226],"remains":[227],"robust.":[228],"Furthermore,":[229],"will":[231],"shown":[233],"these":[235],"estimates":[236],"can":[237],"easily":[239],"computed":[242],"trapezoidal":[245,251],"assumption":[248],"considering":[250],"implying":[254],"loss":[257],"generality":[259],"setting":[262],"estimation.":[265]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":3}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}