{"id":"https://openalex.org/W2058214461","doi":"https://doi.org/10.1016/s0165-0114(01)00215-9","title":"On a class of left-continuous t-norms","display_name":"On a class of left-continuous t-norms","publication_year":2002,"publication_date":"2002-10-08","ids":{"openalex":"https://openalex.org/W2058214461","doi":"https://doi.org/10.1016/s0165-0114(01)00215-9","mag":"2058214461"},"language":"en","primary_location":{"id":"doi:10.1016/s0165-0114(01)00215-9","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0165-0114(01)00215-9","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/A5045085987","display_name":"Roberto Cignoli","orcid":null},"institutions":[{"id":"https://openalex.org/I53241121","display_name":"Fundaci\u00f3n Ciencias Exactas y Naturales","ror":"https://ror.org/05rxmkq09","country_code":"AR","type":"nonprofit","lineage":["https://openalex.org/I53241121"]},{"id":"https://openalex.org/I24354313","display_name":"University of Buenos Aires","ror":"https://ror.org/0081fs513","country_code":"AR","type":"education","lineage":["https://openalex.org/I24354313"]},{"id":"https://openalex.org/I151201029","display_name":"Consejo Nacional de Investigaciones Cient\u00edficas y T\u00e9cnicas","ror":"https://ror.org/03cqe8w59","country_code":"AR","type":"funder","lineage":["https://openalex.org/I151201029","https://openalex.org/I4210123736","https://openalex.org/I4387155568"]}],"countries":["AR"],"is_corresponding":false,"raw_author_name":"Roberto Cignoli","raw_affiliation_strings":["Departamento de Matem\u00e1ticas, Fac. Ciencias Exactas y Naturales, Universidad de Buenos Aires - CONICET, Pabell\u00f3n 1, Ciudad Universitaria, 1428 Buenos Aires, Argentina","Departamento de Matem\u00e1ticas, Fac. Ciencias Exactas y Naturales, Universidad de Buenos Aires - CONICET, Pabell\u00f3n 1, Ciudad Universitaria, 1428 Buenos Aires, Argentina#TAB#"],"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1ticas, Fac. Ciencias Exactas y Naturales, Universidad de Buenos Aires - CONICET, Pabell\u00f3n 1, Ciudad Universitaria, 1428 Buenos Aires, Argentina","institution_ids":["https://openalex.org/I53241121","https://openalex.org/I151201029","https://openalex.org/I24354313"]},{"raw_affiliation_string":"Departamento de Matem\u00e1ticas, Fac. Ciencias Exactas y Naturales, Universidad de Buenos Aires - CONICET, Pabell\u00f3n 1, Ciudad Universitaria, 1428 Buenos Aires, Argentina#TAB#","institution_ids":["https://openalex.org/I24354313"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086317940","display_name":"Francesc Esteva","orcid":"https://orcid.org/0000-0003-4466-3298"},"institutions":[{"id":"https://openalex.org/I134820265","display_name":"Consejo Superior de Investigaciones Cient\u00edficas","ror":"https://ror.org/02gfc7t72","country_code":"ES","type":"funder","lineage":["https://openalex.org/I134820265"]},{"id":"https://openalex.org/I4210131846","display_name":"Artificial Intelligence Research Institute","ror":"https://ror.org/03c0ach84","country_code":"ES","type":"facility","lineage":["https://openalex.org/I134820265","https://openalex.org/I4210131846"]},{"id":"https://openalex.org/I123044942","display_name":"Universitat Aut\u00f2noma de Barcelona","ror":"https://ror.org/052g8jq94","country_code":"ES","type":"education","lineage":["https://openalex.org/I123044942"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Francesc Esteva","raw_affiliation_strings":["Institut d'Investigaci\u00f3 en Intel\u00b7lig\u00e8ncia Artificial (IIIA), Consejo Superior de Investigaciones Cient\u00edficas (CSIC), Campus Universitat Aut\u00f2noma de Barcelona, s/n, 08193 Bellaterra, Spain","Institut d'Investigaci\u00f3 en Intel.lig\u00e8ncia Artificial (IIIA), Consejo Superior de Investigaciones Cientificas (CSIC), Campus Universitat Aut\u00f2noma de Barcelona, s/n, 08193 Bellaterra, ...#TAB#"],"affiliations":[{"raw_affiliation_string":"Institut d'Investigaci\u00f3 en Intel\u00b7lig\u00e8ncia Artificial (IIIA), Consejo Superior de Investigaciones Cient\u00edficas (CSIC), Campus Universitat Aut\u00f2noma de Barcelona, s/n, 08193 Bellaterra, Spain","institution_ids":["https://openalex.org/I4210131846","https://openalex.org/I134820265","https://openalex.org/I123044942"]},{"raw_affiliation_string":"Institut d'Investigaci\u00f3 en Intel.lig\u00e8ncia Artificial (IIIA), Consejo Superior de Investigaciones Cientificas (CSIC), Campus Universitat Aut\u00f2noma de Barcelona, s/n, 08193 Bellaterra, ...#TAB#","institution_ids":["https://openalex.org/I123044942"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072818908","display_name":"Llu\u0131\u0301s Godo","orcid":"https://orcid.org/0000-0002-6929-3126"},"institutions":[{"id":"https://openalex.org/I123044942","display_name":"Universitat Aut\u00f2noma de Barcelona","ror":"https://ror.org/052g8jq94","country_code":"ES","type":"education","lineage":["https://openalex.org/I123044942"]},{"id":"https://openalex.org/I4210131846","display_name":"Artificial Intelligence Research Institute","ror":"https://ror.org/03c0ach84","country_code":"ES","type":"facility","lineage":["https://openalex.org/I134820265","https://openalex.org/I4210131846"]},{"id":"https://openalex.org/I134820265","display_name":"Consejo Superior de Investigaciones Cient\u00edficas","ror":"https://ror.org/02gfc7t72","country_code":"ES","type":"funder","lineage":["https://openalex.org/I134820265"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Llu\u00eds Godo","raw_affiliation_strings":["Institut d'Investigaci\u00f3 en Intel\u00b7lig\u00e8ncia Artificial (IIIA), Consejo Superior de Investigaciones Cient\u00edficas (CSIC), Campus Universitat Aut\u00f2noma de Barcelona, s/n, 08193 Bellaterra, Spain","Institut d'Investigaci\u00f3 en Intel.lig\u00e8ncia Artificial (IIIA), Consejo Superior de Investigaciones Cientificas (CSIC), Campus Universitat Aut\u00f2noma de Barcelona, s/n, 08193 Bellaterra, ...#TAB#"],"affiliations":[{"raw_affiliation_string":"Institut d'Investigaci\u00f3 en Intel\u00b7lig\u00e8ncia Artificial (IIIA), Consejo Superior de Investigaciones Cient\u00edficas (CSIC), Campus Universitat Aut\u00f2noma de Barcelona, s/n, 08193 Bellaterra, Spain","institution_ids":["https://openalex.org/I4210131846","https://openalex.org/I134820265","https://openalex.org/I123044942"]},{"raw_affiliation_string":"Institut d'Investigaci\u00f3 en Intel.lig\u00e8ncia Artificial (IIIA), Consejo Superior de Investigaciones Cientificas (CSIC), Campus Universitat Aut\u00f2noma de Barcelona, s/n, 08193 Bellaterra, ...#TAB#","institution_ids":["https://openalex.org/I123044942"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109033991","display_name":"Franco Montagna","orcid":null},"institutions":[{"id":"https://openalex.org/I102064193","display_name":"University of Siena","ror":"https://ror.org/01tevnk56","country_code":"IT","type":"education","lineage":["https://openalex.org/I102064193"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Franco Montagna","raw_affiliation_strings":["Dipartimento di Matematica, Universit\u00e0 degli Studi di Siena, Via del Capitano 15, 53100 Siena, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica, Universit\u00e0 degli Studi di Siena, Via del Capitano 15, 53100 Siena, Italy","institution_ids":["https://openalex.org/I102064193"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5072818908"],"corresponding_institution_ids":["https://openalex.org/I123044942","https://openalex.org/I134820265","https://openalex.org/I4210131846"],"apc_list":{"value":2600,"currency":"USD","value_usd":2600},"apc_paid":null,"fwci":3.8375,"has_fulltext":false,"cited_by_count":43,"citation_normalized_percentile":{"value":0.93937094,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"131","issue":"3","first_page":"283","last_page":"296"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9998999834060669,"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":0.9987999796867371,"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/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9980999827384949,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8505314588546753},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.6651183366775513},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.42644405364990234},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3453361690044403},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.34296104311943054},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3376169204711914},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.33728349208831787},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1612054407596588},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.08886697888374329},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.07670533657073975}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8505314588546753},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.6651183366775513},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.42644405364990234},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3453361690044403},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.34296104311943054},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3376169204711914},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.33728349208831787},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1612054407596588},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.08886697888374329},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.07670533657073975},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1016/s0165-0114(01)00215-9","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0165-0114(01)00215-9","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"},{"id":"pmh:oai:digital.csic.es:10261/160962","is_oa":false,"landing_page_url":"http://hdl.handle.net/10261/160962","pdf_url":null,"source":{"id":"https://openalex.org/S4306400616","display_name":"DIGITAL.CSIC (Spanish National Research Council (CSIC))","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I134820265","host_organization_name":"Consejo Superior de Investigaciones Cient\u00edficas","host_organization_lineage":["https://openalex.org/I134820265"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"art\u00edculo"},{"id":"pmh:oai:usiena-air.unisi.it:11365/7109","is_oa":false,"landing_page_url":"http://hdl.handle.net/11365/7109","pdf_url":null,"source":{"id":"https://openalex.org/S4377196319","display_name":"Use Siena air (University of Siena)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I102064193","host_organization_name":"University of Siena","host_organization_lineage":["https://openalex.org/I102064193"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6399999856948853,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320323257","display_name":"Universidad de Buenos Aires","ror":"https://ror.org/0081fs513"},{"id":"https://openalex.org/F4320334045","display_name":"Gruppo Nazionale per le Strutture Algebriche, Geometriche e le loro Applicazioni","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W200884895","https://openalex.org/W1511669762","https://openalex.org/W1931043128","https://openalex.org/W1979726628","https://openalex.org/W1983382657","https://openalex.org/W1985612147","https://openalex.org/W2018957484","https://openalex.org/W2082093772","https://openalex.org/W2164429865","https://openalex.org/W2326267538","https://openalex.org/W2475594644","https://openalex.org/W4246378692"],"related_works":["https://openalex.org/W1989920940","https://openalex.org/W2030105136","https://openalex.org/W1560139384","https://openalex.org/W4249580765","https://openalex.org/W2096753949","https://openalex.org/W2357111437","https://openalex.org/W3103780039","https://openalex.org/W4220985904","https://openalex.org/W2963103437","https://openalex.org/W2007735529"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2016-06-24T00:00:00"}
