{"id":"https://openalex.org/W2117665971","doi":"https://doi.org/10.1109/fuzz.2003.1206533","title":"Testing continuous t-norm called Lukasiewicz algebra with different means in classification","display_name":"Testing continuous t-norm called Lukasiewicz algebra with different means in classification","publication_year":2004,"publication_date":"2004-03-22","ids":{"openalex":"https://openalex.org/W2117665971","doi":"https://doi.org/10.1109/fuzz.2003.1206533","mag":"2117665971"},"language":"en","primary_location":{"id":"doi:10.1109/fuzz.2003.1206533","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzz.2003.1206533","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The 12th IEEE International Conference on Fuzzy Systems, 2003. FUZZ '03.","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/A5037618628","display_name":"Kalle Saastamoinen","orcid":"https://orcid.org/0000-0001-7471-2404"},"institutions":[{"id":"https://openalex.org/I63548447","display_name":"Lappeenranta-Lahti University of Technology","ror":"https://ror.org/0208vgz68","country_code":"FI","type":"education","lineage":["https://openalex.org/I63548447"]}],"countries":["FI"],"is_corresponding":true,"raw_author_name":"K. Saastamoinen","raw_affiliation_strings":["Lab. of Appl. Math., Lappeenranta Univ. of Technol., Finland"],"affiliations":[{"raw_affiliation_string":"Lab. of Appl. Math., Lappeenranta Univ. of Technol., Finland","institution_ids":["https://openalex.org/I63548447"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5069244594","display_name":"Pasi Luukka","orcid":"https://orcid.org/0000-0003-0124-6646"},"institutions":[{"id":"https://openalex.org/I63548447","display_name":"Lappeenranta-Lahti University of Technology","ror":"https://ror.org/0208vgz68","country_code":"FI","type":"education","lineage":["https://openalex.org/I63548447"]}],"countries":["FI"],"is_corresponding":false,"raw_author_name":"P. Luukka","raw_affiliation_strings":["Lab. of Appl. Math., Lappeenranta Univ. of Technol., Finland"],"affiliations":[{"raw_affiliation_string":"Lab. of Appl. Math., Lappeenranta Univ. of Technol., Finland","institution_ids":["https://openalex.org/I63548447"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5037618628"],"corresponding_institution_ids":["https://openalex.org/I63548447"],"apc_list":null,"apc_paid":null,"fwci":4.4971,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.94627051,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"2","issue":null,"first_page":"808","last_page":"813"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9934999942779541,"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"}},"topics":[{"id":"https://openalex.org/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9934999942779541,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9883999824523926,"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/T11106","display_name":"Data Management and Algorithms","score":0.9850000143051147,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/mathematics","display_name":"Mathematics","score":0.633499264717102},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.5330376029014587},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.5072862505912781},{"id":"https://openalex.org/keywords/harmonic-mean","display_name":"Harmonic mean","score":0.422023743391037},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.41431811451911926},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.407031387090683},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.33221137523651123},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2348361611366272},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.09399810433387756}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.633499264717102},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.5330376029014587},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.5072862505912781},{"id":"https://openalex.org/C203858083","wikidata":"https://www.wikidata.org/wiki/Q188347","display_name":"Harmonic mean","level":2,"score":0.422023743391037},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.41431811451911926},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.407031387090683},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.33221137523651123},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2348361611366272},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.09399810433387756},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/fuzz.2003.1206533","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzz.2003.1206533","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The 12th IEEE International Conference on Fuzzy Systems, 2003. FUZZ '03.","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W99004795","https://openalex.org/W270056808","https://openalex.org/W1037306753","https://openalex.org/W1660390307","https://openalex.org/W1966321785","https://openalex.org/W2012072427","https://openalex.org/W2019529630","https://openalex.org/W2060838621","https://openalex.org/W2117812871","https://openalex.org/W2146601422","https://openalex.org/W4210294256","https://openalex.org/W4212990356","https://openalex.org/W4301264738","https://openalex.org/W4362476265","https://openalex.org/W6609898298","https://openalex.org/W6851272676"],"related_works":["https://openalex.org/W4376565614","https://openalex.org/W2128177177","https://openalex.org/W2096851309","https://openalex.org/W2796842799","https://openalex.org/W4384345245","https://openalex.org/W2534834510","https://openalex.org/W1975600664","https://openalex.org/W4244263057","https://openalex.org/W2097832758","https://openalex.org/W2317389356"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,23,93],"have":[4],"done":[5],"new":[6,35],"similarity":[7],"measures":[8,52],"from":[9],"a":[10,25],"continuous":[11],"t-norm":[12],"by":[13],"implementing":[14],"it":[15],"in":[16,37,104],"different":[17,99],"mean":[18,51],"measures.":[19],"For":[20],"the":[21,39,64,68,96],"implementation,":[22],"use":[24,97],"Minkowsky":[26],"metric":[27],"based":[28],"on":[29],"Lukasiewicz":[30,45],"algebra.":[31],"We":[32,61],"test":[33],"these":[34],"similarities":[36,69],"both":[38],"generalised":[40],"and":[41,58],"normal":[42],"form":[43],"of":[44,67,98],"algebra":[46],"with":[47],"weight":[48],"optimisation.":[49],"The":[50],"examined":[53],"here":[54],"are":[55,70],"arithmetic,":[56],"geometric":[57],"harmonic":[59],"means.":[60],"show":[62,94],"that":[63,95],"magnitude":[65],"order":[66],"S/sub":[71],"H//sup":[72],"N/":[73,80,87],"<x/sub":[74,81,88],"1/,":[75,82,89],"x/sub":[76,83,90],"2/>/spl":[77,84],"ges/S/sub":[78,85],"G//sup":[79],"A//sup":[86],"2/>.":[91],"Secondly,":[92],"means":[100],"is":[101],"highly":[102],"recommendable":[103],"some":[105],"cases.":[106]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}