{"id":"https://openalex.org/W2111109641","doi":"https://doi.org/10.1109/fuzzy.2010.5584199","title":"The Unbalanced Linguistic Ordered Weighted Averaging operator","display_name":"The Unbalanced Linguistic Ordered Weighted Averaging operator","publication_year":2010,"publication_date":"2010-07-01","ids":{"openalex":"https://openalex.org/W2111109641","doi":"https://doi.org/10.1109/fuzzy.2010.5584199","mag":"2111109641"},"language":"en","primary_location":{"id":"doi:10.1109/fuzzy.2010.5584199","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzzy.2010.5584199","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Conference on Fuzzy Systems","raw_type":"proceedings-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/A5041033113","display_name":"David Isern","orcid":"https://orcid.org/0000-0003-1270-9466"},"institutions":[{"id":"https://openalex.org/I55952717","display_name":"Universidad Rovira i Virgili","ror":"https://ror.org/00g5sqv46","country_code":"ES","type":"education","lineage":["https://openalex.org/I55952717"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"David Isern","raw_affiliation_strings":["Departament d'Enginyeria Inform\u00e0tica i Matem\u00e0tiques, Escola T\u00e8cnica Superiord'Enginyeria, Intelligent Technologies of Advanced Knowledge Acquisition Research Group, Universitat Rovira i Virgili, Tarragona, Spain","Universidad Rovira i Virgili, Tarragona, Spain"],"affiliations":[{"raw_affiliation_string":"Departament d'Enginyeria Inform\u00e0tica i Matem\u00e0tiques, Escola T\u00e8cnica Superiord'Enginyeria, Intelligent Technologies of Advanced Knowledge Acquisition Research Group, Universitat Rovira i Virgili, Tarragona, Spain","institution_ids":["https://openalex.org/I55952717"]},{"raw_affiliation_string":"Universidad Rovira i Virgili, Tarragona, Spain","institution_ids":["https://openalex.org/I55952717"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061732574","display_name":"Lucas Mar\u00edn","orcid":"https://orcid.org/0000-0002-0706-4678"},"institutions":[{"id":"https://openalex.org/I55952717","display_name":"Universidad Rovira i Virgili","ror":"https://ror.org/00g5sqv46","country_code":"ES","type":"education","lineage":["https://openalex.org/I55952717"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Lucas Marin","raw_affiliation_strings":["DEIM, ETSE, ITAKA Research Group, Universitat Rovira i Virgili, Spain","Universitat Rovira i Virgili (URV), DEIM, ETSE, ITAKA Research Group"],"affiliations":[{"raw_affiliation_string":"DEIM, ETSE, ITAKA Research Group, Universitat Rovira i Virgili, Spain","institution_ids":["https://openalex.org/I55952717"]},{"raw_affiliation_string":"Universitat Rovira i Virgili (URV), DEIM, ETSE, ITAKA Research Group","institution_ids":["https://openalex.org/I55952717"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025525181","display_name":"A\u0131\u0308da Valls","orcid":"https://orcid.org/0000-0003-3616-7809"},"institutions":[{"id":"https://openalex.org/I55952717","display_name":"Universidad Rovira i Virgili","ror":"https://ror.org/00g5sqv46","country_code":"ES","type":"education","lineage":["https://openalex.org/I55952717"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Aida Valls","raw_affiliation_strings":["DEIM, ETSE, ITAKA Research Group, Universitat Rovira i Virgili, Spain","Universitat Rovira i Virgili (URV), DEIM, ETSE, ITAKA Research Group"],"affiliations":[{"raw_affiliation_string":"DEIM, ETSE, ITAKA Research Group, Universitat Rovira i Virgili, Spain","institution_ids":["https://openalex.org/I55952717"]},{"raw_affiliation_string":"Universitat Rovira i Virgili (URV), DEIM, ETSE, ITAKA Research Group","institution_ids":["https://openalex.org/I55952717"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100770728","display_name":"Antonio Moreno","orcid":"https://orcid.org/0000-0003-3945-2314"},"institutions":[{"id":"https://openalex.org/I55952717","display_name":"Universidad Rovira i Virgili","ror":"https://ror.org/00g5sqv46","country_code":"ES","type":"education","lineage":["https://openalex.org/I55952717"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Antonio Moreno","raw_affiliation_strings":["DEIM, ETSE, ITAKA Research Group, Universitat Rovira i Virgili, Spain","Universitat Rovira i Virgili (URV), DEIM, ETSE, ITAKA Research Group"],"affiliations":[{"raw_affiliation_string":"DEIM, ETSE, ITAKA Research Group, Universitat Rovira i Virgili, Spain","institution_ids":["https://openalex.org/I55952717"]},{"raw_affiliation_string":"Universitat Rovira i Virgili (URV), DEIM, ETSE, ITAKA Research Group","institution_ids":["https://openalex.org/I55952717"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5041033113"],"corresponding_institution_ids":["https://openalex.org/I55952717"],"apc_list":null,"apc_paid":null,"fwci":1.9552,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.87407465,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"8"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9995999932289124,"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":0.9995999932289124,"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/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9872000217437744,"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/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9775000214576721,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5732975006103516},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5179623365402222},{"id":"https://openalex.org/keywords/linguistics","display_name":"Linguistics","score":0.48816996812820435},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3837748169898987},{"id":"https://openalex.org/keywords/natural-language-processing","display_name":"Natural language processing","score":0.3729087710380554},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.36479613184928894},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.09941405057907104}],"concepts":[{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5732975006103516},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5179623365402222},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.48816996812820435},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3837748169898987},{"id":"https://openalex.org/C204321447","wikidata":"https://www.wikidata.org/wiki/Q30642","display_name":"Natural language processing","level":1,"score":0.3729087710380554},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36479613184928894},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.09941405057907104},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/fuzzy.2010.5584199","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzzy.2010.5584199","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Conference on Fuzzy Systems","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.41999998688697815,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W1496612852","https://openalex.org/W1503448614","https://openalex.org/W1973865630","https://openalex.org/W1997781841","https://openalex.org/W2000205198","https://openalex.org/W2000645564","https://openalex.org/W2002619357","https://openalex.org/W2027142749","https://openalex.org/W2038779958","https://openalex.org/W2051527699","https://openalex.org/W2058601119","https://openalex.org/W2059239932","https://openalex.org/W2060907774","https://openalex.org/W2062955803","https://openalex.org/W2095535911","https://openalex.org/W2097812375","https://openalex.org/W2112768365","https://openalex.org/W2113532413","https://openalex.org/W2116501152","https://openalex.org/W2117827905","https://openalex.org/W2125843991","https://openalex.org/W2127772210","https://openalex.org/W2151423875","https://openalex.org/W2167853906","https://openalex.org/W2174826014","https://openalex.org/W2951777333","https://openalex.org/W6764465256"],"related_works":["https://openalex.org/W2151447942","https://openalex.org/W2611614995","https://openalex.org/W2368651715","https://openalex.org/W2789919619","https://openalex.org/W3107474891","https://openalex.org/W1552159754","https://openalex.org/W2148757832","https://openalex.org/W2293457016","https://openalex.org/W3169305685","https://openalex.org/W2131420137"],"abstract_inverted_index":{"Aggregation":[0],"operators":[1,132],"for":[2,133],"linguistic":[3,14,46],"variables":[4],"usually":[5],"assume":[6],"a":[7,123],"uniform":[8],"and":[9,111],"symmetrical":[10,110],"distribution":[11],"of":[12,45,70,82,96,100,120,125,136],"the":[13,18,25,53,60,68,71,78,83,86,94,97,101,118],"terms":[15,47,84,137],"that":[16],"define":[17,59],"variable.":[19],"A":[20],"well-known":[21],"aggregation":[22,87,131],"operator":[23,127],"is":[24,48,90,138],"Linguistic":[26,62],"Ordered":[27,63],"Weighted":[28,64],"Average":[29,65],"(LOWA),":[30],"which":[31,103],"has":[32],"been":[33],"extensively":[34],"applied.":[35],"However,":[36],"there":[37],"are":[38],"some":[39,129],"problems":[40],"where":[41],"an":[42],"unbalanced":[43,134],"set":[44],"more":[49],"appropriate":[50],"to":[51],"describe":[52],"objects.":[54],"In":[55],"this":[56,126],"paper":[57,116],"we":[58],"Unbalanced":[61],"(ULOWA)":[66],"on":[67,93],"basis":[69],"LOWA":[72],"operator.":[73],"ULOWA":[74],"takes":[75],"into":[76],"account":[77],"fuzzy":[79],"membership":[80,98],"functions":[81,99],"during":[85],"process.":[88],"There":[89],"no":[91],"restriction":[92],"form":[95],"terms,":[102],"can":[104],"be":[105],"triangular":[106],"or":[107],"trapezoidal,":[108],"non":[109,112],"equally":[113],"distributed.":[114],"The":[115],"demonstrates":[117],"properties":[119],"ULOWA.":[121],"Finally,":[122],"comparison":[124],"with":[128],"other":[130],"sets":[135],"done.":[139]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2026-01-13T01:12:25.745995","created_date":"2025-10-10T00:00:00"}