{"id":"https://openalex.org/W2082093772","doi":"https://doi.org/10.1007/s005000000044","title":"Basic Fuzzy Logic is the logic of continuous t-norms and their residua","display_name":"Basic Fuzzy Logic is the logic of continuous t-norms and their residua","publication_year":2000,"publication_date":"2000-07-01","ids":{"openalex":"https://openalex.org/W2082093772","doi":"https://doi.org/10.1007/s005000000044","mag":"2082093772"},"language":"en","primary_location":{"id":"doi:10.1007/s005000000044","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s005000000044","pdf_url":null,"source":{"id":"https://openalex.org/S65753830","display_name":"Soft Computing","issn_l":"1432-7643","issn":["1432-7643","1433-7479"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Soft Computing","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/I151201029","display_name":"Consejo Nacional de Investigaciones Cient\u00edficas y T\u00e9cnicas","ror":"https://ror.org/03cqe8w59","country_code":"AR","type":"government","lineage":["https://openalex.org/I151201029","https://openalex.org/I4210123736","https://openalex.org/I4387155568"]},{"id":"https://openalex.org/I24354313","display_name":"Universidad de Buenos Aires","ror":"https://ror.org/0081fs513","country_code":"AR","type":"education","lineage":["https://openalex.org/I24354313"]},{"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"]}],"countries":["AR"],"is_corresponding":false,"raw_author_name":"R. Cignoli","raw_affiliation_strings":["Departamento de Matem\u00e1ticas, Fac. Ciencias Exactas y Naturales Universidad de Buenos Aires \u2013 CONICET, Pabell\u00f3n 1, Ciudad Universitaria 1428 Buenos Aires, Argentina","Departamento de Matem\u00e1ticas, Fac. Ciencias Exactas y Naturales Universidad de Buenos Aires \u2013 CONICET, Pabell\u00f3n 1, Ciudad Universitaria 1428 Buenos Aires, Argentina E-mail: cignoli@mate.dm.uba.ar, , AR"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1ticas, Fac. Ciencias Exactas y Naturales Universidad de Buenos Aires \u2013 CONICET, Pabell\u00f3n 1, Ciudad Universitaria 1428 Buenos Aires, Argentina","institution_ids":["https://openalex.org/I151201029","https://openalex.org/I24354313","https://openalex.org/I53241121"]},{"raw_affiliation_string":"Departamento de Matem\u00e1ticas, Fac. Ciencias Exactas y Naturales Universidad de Buenos Aires \u2013 CONICET, Pabell\u00f3n 1, Ciudad Universitaria 1428 Buenos Aires, Argentina E-mail: cignoli@mate.dm.uba.ar, , AR","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/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/I134820265","display_name":"Consejo Superior de Investigaciones Cient\u00edficas","ror":"https://ror.org/02gfc7t72","country_code":"ES","type":"government","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"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"F. 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\u00b7lig\u00e8ncia Artificial (IIIA) Consejo Superior de Investigaciones Cient\u00edficas (CSIC) Campus Universitat Aut\u00f2noma de Barcelona, s/n 08193 Bellaterra, Spain E-mail: {esteva,godo}@iiia.csic.es, , ES"],"raw_orcid":null,"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/I123044942","https://openalex.org/I134820265","https://openalex.org/I4210131846"]},{"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 E-mail: {esteva,godo}@iiia.csic.es, , ES","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/I134820265","display_name":"Consejo Superior de Investigaciones Cient\u00edficas","ror":"https://ror.org/02gfc7t72","country_code":"ES","type":"government","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"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"L. 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\u00b7lig\u00e8ncia Artificial (IIIA) Consejo Superior de Investigaciones Cient\u00edficas (CSIC) Campus Universitat Aut\u00f2noma de Barcelona, s/n 08193 Bellaterra, Spain E-mail: {esteva,godo}@iiia.csic.es, , ES"],"raw_orcid":null,"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/I123044942","https://openalex.org/I134820265","https://openalex.org/I4210131846"]},{"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 E-mail: {esteva,godo}@iiia.csic.es, , ES","institution_ids":["https://openalex.org/I123044942"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5030859381","display_name":"Antoni Torrens","orcid":"https://orcid.org/0009-0004-6587-0362"},"institutions":[{"id":"https://openalex.org/I71999127","display_name":"Universitat de Barcelona","ror":"https://ror.org/021018s57","country_code":"ES","type":"education","lineage":["https://openalex.org/I71999127"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"A. Torrens","raw_affiliation_strings":["Departament de L\u00f2gica, Facultat de Matem\u00e0tiques Universitat de Barcelona, Gran Via de les Corts Catalanes, 585 08007 Barcelona, Spain","Departament de L\u00f2gica, Facultat de Matem\u00e0tiques Universitat de Barcelona, Gran Via de les Corts Catalanes, 585 08007 Barcelona, Spain E-mail: torrens@mat.ub.es, ES"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departament de L\u00f2gica, Facultat de Matem\u00e0tiques Universitat de Barcelona, Gran Via de les Corts Catalanes, 585 08007 Barcelona, Spain","institution_ids":["https://openalex.org/I71999127"]},{"raw_affiliation_string":"Departament de L\u00f2gica, Facultat de Matem\u00e0tiques Universitat de Barcelona, Gran Via de les Corts Catalanes, 585 08007 Barcelona, Spain E-mail: torrens@mat.ub.es, ES","institution_ids":["https://openalex.org/I71999127"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":7,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":21.2298,"has_fulltext":false,"cited_by_count":313,"citation_normalized_percentile":{"value":0.99731544,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"4","issue":"2","first_page":"106","last_page":"112"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9901000261306763,"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/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9901000261306763,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9882000088691711,"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/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9635999798774719,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/axiom","display_name":"Axiom","score":0.8052769899368286},{"id":"https://openalex.org/keywords/completeness","display_name":"Completeness (order theory)","score":0.7017226219177246},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.636640191078186},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5651044249534607},{"id":"https://openalex.org/keywords/g\u00f6dels-completeness-theorem","display_name":"G\u00f6del's completeness theorem","score":0.5233577489852905},{"id":"https://openalex.org/keywords/separation-axiom","display_name":"Separation axiom","score":0.5148965120315552},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5071523189544678},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.47839152812957764},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4383343458175659},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.42201024293899536},{"id":"https://openalex.org/keywords/variety","display_name":"Variety (cybernetics)","score":0.419062077999115},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.22527393698692322},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.099587082862854},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08316269516944885}],"concepts":[{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.8052769899368286},{"id":"https://openalex.org/C17231256","wikidata":"https://www.wikidata.org/wiki/Q5156540","display_name":"Completeness (order theory)","level":2,"score":0.7017226219177246},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.636640191078186},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5651044249534607},{"id":"https://openalex.org/C200116569","wikidata":"https://www.wikidata.org/wiki/Q902052","display_name":"G\u00f6del's completeness theorem","level":2,"score":0.5233577489852905},{"id":"https://openalex.org/C40409056","wikidata":"https://www.wikidata.org/wiki/Q1140985","display_name":"Separation axiom","level":3,"score":0.5148965120315552},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5071523189544678},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.47839152812957764},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4383343458175659},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.42201024293899536},{"id":"https://openalex.org/C136197465","wikidata":"https://www.wikidata.org/wiki/Q1729295","display_name":"Variety (cybernetics)","level":2,"score":0.419062077999115},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.22527393698692322},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.099587082862854},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08316269516944885},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s005000000044","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s005000000044","pdf_url":null,"source":{"id":"https://openalex.org/S65753830","display_name":"Soft Computing","issn_l":"1432-7643","issn":["1432-7643","1433-7479"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Soft Computing","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":0,"referenced_works":[],"related_works":["https://openalex.org/W1499671889","https://openalex.org/W1539956936","https://openalex.org/W3200389883","https://openalex.org/W2142305280","https://openalex.org/W2169551167","https://openalex.org/W2369292347","https://openalex.org/W2099088007","https://openalex.org/W3111972484","https://openalex.org/W1994701759","https://openalex.org/W1588277780"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":8},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":9},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":9},{"year":2016,"cited_by_count":10},{"year":2015,"cited_by_count":16},{"year":2014,"cited_by_count":20},{"year":2013,"cited_by_count":7},{"year":2012,"cited_by_count":11}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}
