{"id":"https://openalex.org/W1972451186","doi":"https://doi.org/10.1007/s11225-007-9078-1","title":"Basic Hoops: an Algebraic Study of Continuous t-norms","display_name":"Basic Hoops: an Algebraic Study of Continuous t-norms","publication_year":2007,"publication_date":"2007-10-05","ids":{"openalex":"https://openalex.org/W1972451186","doi":"https://doi.org/10.1007/s11225-007-9078-1","mag":"1972451186"},"language":"en","primary_location":{"id":"doi:10.1007/s11225-007-9078-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11225-007-9078-1","pdf_url":null,"source":{"id":"https://openalex.org/S30880287","display_name":"Studia Logica","issn_l":"0039-3215","issn":["0039-3215","1572-8730"],"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":"Studia Logica","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/A5084297676","display_name":"Paolo Aglian\u00f2","orcid":"https://orcid.org/0000-0002-2860-6157"},"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":true,"raw_author_name":"P. Aglian\u00f2","raw_affiliation_strings":["Dipartimento di Matematica, Via del Capitano 15, 53100, Siena, Italy","Dipartimento di Matematica, Siena, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica, Via del Capitano 15, 53100, Siena, Italy","institution_ids":["https://openalex.org/I102064193"]},{"raw_affiliation_string":"Dipartimento di Matematica, Siena, Italy","institution_ids":["https://openalex.org/I102064193"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006830031","display_name":"Isabel M. A. Ferreirim","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"I. M. A. Ferreirim","raw_affiliation_strings":["Departamento de Matem\u00e1tica, FCUL, Campo Grande, Ed. C6, Piso 2, 1749-016, Lisboa, Portugal","Departamento de Matem\u00e1tica, FCUL, Lisboa, Portugal"],"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica, FCUL, Campo Grande, Ed. C6, Piso 2, 1749-016, Lisboa, Portugal","institution_ids":[]},{"raw_affiliation_string":"Departamento de Matem\u00e1tica, FCUL, Lisboa, Portugal","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5036404155","display_name":"F. Montagna","orcid":"https://orcid.org/0009-0000-7092-7053"},"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":"F. Montagna","raw_affiliation_strings":["Dipartimento di Matematica, Via del Capitano 15, 53100, Siena, Italy","Dipartimento di Matematica, Siena, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica, Via del Capitano 15, 53100, Siena, Italy","institution_ids":["https://openalex.org/I102064193"]},{"raw_affiliation_string":"Dipartimento di Matematica, Siena, Italy","institution_ids":["https://openalex.org/I102064193"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5084297676"],"corresponding_institution_ids":["https://openalex.org/I102064193"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":8.6526,"has_fulltext":false,"cited_by_count":134,"citation_normalized_percentile":{"value":0.97996106,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"87","issue":"1","first_page":"73","last_page":"98"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.814300000667572,"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":0.814300000667572,"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":0.09059999883174896,"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/T11703","display_name":"Rings, Modules, and Algebras","score":0.021700000390410423,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/variety","display_name":"Variety (cybernetics)","score":0.7843919396400452},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7525038123130798},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.6582016944885254},{"id":"https://openalex.org/keywords/commutative-property","display_name":"Commutative property","score":0.6524180769920349},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5804442167282104},{"id":"https://openalex.org/keywords/residuated-lattice","display_name":"Residuated lattice","score":0.5081901550292969},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.47316962480545044},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.46188634634017944},{"id":"https://openalex.org/keywords/algebraic-variety","display_name":"Algebraic variety","score":0.41766783595085144},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.39076778292655945},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.12049093842506409},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0589008629322052}],"concepts":[{"id":"https://openalex.org/C136197465","wikidata":"https://www.wikidata.org/wiki/Q1729295","display_name":"Variety (cybernetics)","level":2,"score":0.7843919396400452},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7525038123130798},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.6582016944885254},{"id":"https://openalex.org/C183778304","wikidata":"https://www.wikidata.org/wiki/Q165474","display_name":"Commutative property","level":2,"score":0.6524180769920349},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5804442167282104},{"id":"https://openalex.org/C2781278839","wikidata":"https://www.wikidata.org/wiki/Q9462417","display_name":"Residuated lattice","level":3,"score":0.5081901550292969},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.47316962480545044},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.46188634634017944},{"id":"https://openalex.org/C165761256","wikidata":"https://www.wikidata.org/wiki/Q648995","display_name":"Algebraic variety","level":3,"score":0.41766783595085144},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.39076778292655945},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.12049093842506409},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0589008629322052},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","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},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s11225-007-9078-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11225-007-9078-1","pdf_url":null,"source":{"id":"https://openalex.org/S30880287","display_name":"Studia Logica","issn_l":"0039-3215","issn":["0039-3215","1572-8730"],"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":"Studia Logica","raw_type":"journal-article"},{"id":"pmh:oai:usiena-air.unisi.it:11365/24676","is_oa":false,"landing_page_url":"http://hdl.handle.net/11365/24676","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":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":40,"referenced_works":["https://openalex.org/W56720272","https://openalex.org/W269873051","https://openalex.org/W575480071","https://openalex.org/W645782252","https://openalex.org/W1535347767","https://openalex.org/W1545519609","https://openalex.org/W1931043128","https://openalex.org/W1964364843","https://openalex.org/W1965682580","https://openalex.org/W1985104705","https://openalex.org/W1990620456","https://openalex.org/W2005674752","https://openalex.org/W2011765234","https://openalex.org/W2012072427","https://openalex.org/W2022177274","https://openalex.org/W2024065710","https://openalex.org/W2054033244","https://openalex.org/W2058217883","https://openalex.org/W2059938612","https://openalex.org/W2059943621","https://openalex.org/W2068044462","https://openalex.org/W2069545812","https://openalex.org/W2082093772","https://openalex.org/W2083174445","https://openalex.org/W2087334260","https://openalex.org/W2094251352","https://openalex.org/W2096482476","https://openalex.org/W2110182592","https://openalex.org/W2149969160","https://openalex.org/W2223139644","https://openalex.org/W2326267538","https://openalex.org/W2898526987","https://openalex.org/W3154442628","https://openalex.org/W4231153836","https://openalex.org/W4239011127","https://openalex.org/W4246761341","https://openalex.org/W4252113473","https://openalex.org/W4255255331","https://openalex.org/W4285719527","https://openalex.org/W6602248900"],"related_works":["https://openalex.org/W61471619","https://openalex.org/W2111877946","https://openalex.org/W2186053625","https://openalex.org/W2354746316","https://openalex.org/W2324350136","https://openalex.org/W2536635683","https://openalex.org/W4388787498","https://openalex.org/W2007744916","https://openalex.org/W2403403673","https://openalex.org/W1653282108"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":10},{"year":2024,"cited_by_count":8},{"year":2023,"cited_by_count":12},{"year":2022,"cited_by_count":9},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":11},{"year":2016,"cited_by_count":9},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
