{"id":"https://openalex.org/W1988039634","doi":"https://doi.org/10.1016/s0165-0114(02)00114-8","title":"On the order of triangular norms\u2014comments on \u201cA triangular norm hierarchy\u201d by E. Cretu","display_name":"On the order of triangular norms\u2014comments on \u201cA triangular norm hierarchy\u201d by E. Cretu","publication_year":2002,"publication_date":"2002-10-10","ids":{"openalex":"https://openalex.org/W1988039634","doi":"https://doi.org/10.1016/s0165-0114(02)00114-8","mag":"1988039634"},"language":"en","primary_location":{"id":"doi:10.1016/s0165-0114(02)00114-8","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0165-0114(02)00114-8","pdf_url":null,"source":{"id":"https://openalex.org/S169411308","display_name":"Fuzzy Sets and Systems","issn_l":"0165-0114","issn":["0165-0114","1872-6801"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Fuzzy Sets and 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/A5008349905","display_name":"Erich Peter Klement","orcid":"https://orcid.org/0000-0002-2054-3286"},"institutions":[{"id":"https://openalex.org/I121883995","display_name":"Johannes Kepler University of Linz","ror":"https://ror.org/052r2xn60","country_code":"AT","type":"education","lineage":["https://openalex.org/I121883995"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"Erich Peter Klement","raw_affiliation_strings":["Department of Algebra, Stochastics and  Knowledge-Based Mathematical Systems, Johannes Kepler University,  4040 Linz, Austria"],"affiliations":[{"raw_affiliation_string":"Department of Algebra, Stochastics and  Knowledge-Based Mathematical Systems, Johannes Kepler University,  4040 Linz, Austria","institution_ids":["https://openalex.org/I121883995"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058341815","display_name":"Radko Mesiar","orcid":"https://orcid.org/0000-0001-6503-949X"},"institutions":[{"id":"https://openalex.org/I110757952","display_name":"Slovak University of Technology in Bratislava","ror":"https://ror.org/0561ghm58","country_code":"SK","type":"education","lineage":["https://openalex.org/I110757952"]}],"countries":["SK"],"is_corresponding":false,"raw_author_name":"Radko Mesiar","raw_affiliation_strings":["Department of Mathematics and Descriptive Geometry, Faculty of Civil Engineering, Slovak Technical University, 81 368 Bratislava, Slovakia#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Descriptive Geometry, Faculty of Civil Engineering, Slovak Technical University, 81 368 Bratislava, Slovakia#TAB#","institution_ids":["https://openalex.org/I110757952"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5074019243","display_name":"Endre Pap","orcid":"https://orcid.org/0000-0003-0719-4701"},"institutions":[{"id":"https://openalex.org/I170726198","display_name":"University of Novi Sad","ror":"https://ror.org/00xa57a59","country_code":"RS","type":"education","lineage":["https://openalex.org/I170726198"]}],"countries":["RS"],"is_corresponding":false,"raw_author_name":"Endre Pap","raw_affiliation_strings":["Institute of Mathematics, University of Novi Sad, 21000 Novi Sad, Yugoslavia#TAB#"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, University of Novi Sad, 21000 Novi Sad, Yugoslavia#TAB#","institution_ids":["https://openalex.org/I170726198"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5008349905"],"corresponding_institution_ids":["https://openalex.org/I121883995"],"apc_list":{"value":2600,"currency":"USD","value_usd":2600},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.14860305,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"131","issue":"3","first_page":"409","last_page":"413"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9991000294685364,"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":0.9991000294685364,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9947999715805054,"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/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9898999929428101,"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/mathematics","display_name":"Mathematics","score":0.8923001289367676},{"id":"https://openalex.org/keywords/pointwise","display_name":"Pointwise","score":0.7571277618408203},{"id":"https://openalex.org/keywords/t-norm","display_name":"T-norm","score":0.744867205619812},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.657322347164154},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.6226598620414734},{"id":"https://openalex.org/keywords/monotonic-function","display_name":"Monotonic function","score":0.5689007043838501},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5226176381111145},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.47175461053848267},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.40896743535995483},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.37404507398605347},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3678886294364929},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.32053235173225403},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.23457872867584229},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07933241128921509},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07721000909805298},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.06379839777946472},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.05049857497215271}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8923001289367676},{"id":"https://openalex.org/C2777984123","wikidata":"https://www.wikidata.org/wiki/Q9248237","display_name":"Pointwise","level":2,"score":0.7571277618408203},{"id":"https://openalex.org/C2721081","wikidata":"https://www.wikidata.org/wiki/Q2383161","display_name":"T-norm","level":5,"score":0.744867205619812},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.657322347164154},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.6226598620414734},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.5689007043838501},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5226176381111145},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.47175461053848267},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.40896743535995483},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.37404507398605347},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3678886294364929},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.32053235173225403},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.23457872867584229},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07933241128921509},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07721000909805298},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.06379839777946472},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.05049857497215271},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0165-0114(02)00114-8","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0165-0114(02)00114-8","pdf_url":null,"source":{"id":"https://openalex.org/S169411308","display_name":"Fuzzy Sets and Systems","issn_l":"0165-0114","issn":["0165-0114","1872-6801"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Fuzzy Sets and Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":45,"referenced_works":["https://openalex.org/W59224964","https://openalex.org/W1485625483","https://openalex.org/W1538607327","https://openalex.org/W1543134558","https://openalex.org/W1585620996","https://openalex.org/W1598915718","https://openalex.org/W1606108510","https://openalex.org/W1964679164","https://openalex.org/W1968172834","https://openalex.org/W1973343792","https://openalex.org/W1976520304","https://openalex.org/W1988117740","https://openalex.org/W1990794890","https://openalex.org/W1992354936","https://openalex.org/W1992369290","https://openalex.org/W1993221408","https://openalex.org/W1996991494","https://openalex.org/W2003115337","https://openalex.org/W2015436680","https://openalex.org/W2023582892","https://openalex.org/W2034020294","https://openalex.org/W2046335762","https://openalex.org/W2049583804","https://openalex.org/W2050959305","https://openalex.org/W2055107778","https://openalex.org/W2058013795","https://openalex.org/W2075923874","https://openalex.org/W2083352047","https://openalex.org/W2092580384","https://openalex.org/W2112371487","https://openalex.org/W2112660043","https://openalex.org/W2125624718","https://openalex.org/W2139654996","https://openalex.org/W2164429865","https://openalex.org/W2324744822","https://openalex.org/W2578456536","https://openalex.org/W2911710474","https://openalex.org/W3043771091","https://openalex.org/W3158113069","https://openalex.org/W3213572188","https://openalex.org/W4312837445","https://openalex.org/W4312874483","https://openalex.org/W6602412434","https://openalex.org/W6636022342","https://openalex.org/W7049130645"],"related_works":["https://openalex.org/W1489292980","https://openalex.org/W1695905856","https://openalex.org/W2795079910","https://openalex.org/W2951610245","https://openalex.org/W1430963189","https://openalex.org/W3037410748","https://openalex.org/W2049901819","https://openalex.org/W2052430123","https://openalex.org/W1983437306","https://openalex.org/W1974262772"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
