{"id":"https://openalex.org/W1983260516","doi":"https://doi.org/10.1007/s00500-003-0338-3","title":"Continuous approximations of product implication in MV-algebras with product","display_name":"Continuous approximations of product implication in MV-algebras with product","publication_year":2004,"publication_date":"2004-03-04","ids":{"openalex":"https://openalex.org/W1983260516","doi":"https://doi.org/10.1007/s00500-003-0338-3","mag":"1983260516"},"language":"en","primary_location":{"id":"doi:10.1007/s00500-003-0338-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00500-003-0338-3","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/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"]},{"id":"https://openalex.org/I4210157811","display_name":"Centro di Ricerca in Matematica Pura ed Applicata","ror":"https://ror.org/04fv5g904","country_code":"IT","type":"nonprofit","lineage":["https://openalex.org/I4210157811"]}],"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, Via del Capitano 15, 53100, Italy#TAB#"],"raw_orcid":null,"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, Via del Capitano 15, 53100, Italy#TAB#","institution_ids":["https://openalex.org/I4210157811"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5057708583","display_name":"Luca Spada","orcid":"https://orcid.org/0000-0002-1139-387X"},"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"]},{"id":"https://openalex.org/I4210157811","display_name":"Centro di Ricerca in Matematica Pura ed Applicata","ror":"https://ror.org/04fv5g904","country_code":"IT","type":"nonprofit","lineage":["https://openalex.org/I4210157811"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"L. Spada","raw_affiliation_strings":["Dipartimento di Matematica, Via del Capitano 15, 53100, Siena, Italy","Dipartimento di Matematica, Via del Capitano 15, 53100, Italy#TAB#"],"raw_orcid":null,"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, Via del Capitano 15, 53100, Italy#TAB#","institution_ids":["https://openalex.org/I4210157811"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.10223108,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"9","issue":"3","first_page":"149","last_page":"154"},"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":0.9944999814033508,"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":0.9937000274658203,"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/reduct","display_name":"Reduct","score":0.803009569644928},{"id":"https://openalex.org/keywords/variety","display_name":"Variety (cybernetics)","score":0.6423119306564331},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.6148360967636108},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5632796287536621},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5060638785362244},{"id":"https://openalex.org/keywords/discontinuity","display_name":"Discontinuity (linguistics)","score":0.4731534421443939},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.44692936539649963},{"id":"https://openalex.org/keywords/direct-product","display_name":"Direct product","score":0.44213753938674927},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.41308844089508057},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3801189959049225},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2902815043926239},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11401873826980591},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09138661623001099},{"id":"https://openalex.org/keywords/rough-set","display_name":"Rough set","score":0.08497089147567749}],"concepts":[{"id":"https://openalex.org/C69177213","wikidata":"https://www.wikidata.org/wiki/Q12880812","display_name":"Reduct","level":3,"score":0.803009569644928},{"id":"https://openalex.org/C136197465","wikidata":"https://www.wikidata.org/wiki/Q1729295","display_name":"Variety (cybernetics)","level":2,"score":0.6423119306564331},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.6148360967636108},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5632796287536621},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5060638785362244},{"id":"https://openalex.org/C2777042112","wikidata":"https://www.wikidata.org/wiki/Q5281658","display_name":"Discontinuity (linguistics)","level":2,"score":0.4731534421443939},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.44692936539649963},{"id":"https://openalex.org/C58193220","wikidata":"https://www.wikidata.org/wiki/Q1778193","display_name":"Direct product","level":2,"score":0.44213753938674927},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.41308844089508057},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3801189959049225},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2902815043926239},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11401873826980591},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09138661623001099},{"id":"https://openalex.org/C111012933","wikidata":"https://www.wikidata.org/wiki/Q3137210","display_name":"Rough set","level":2,"score":0.08497089147567749},{"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/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},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00500-003-0338-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00500-003-0338-3","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":[{"score":0.4399999976158142,"display_name":"Decent work and economic growth","id":"https://metadata.un.org/sdg/8"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W186718316","https://openalex.org/W1566552629","https://openalex.org/W1965682580","https://openalex.org/W1976537120","https://openalex.org/W2038514749","https://openalex.org/W2110182592","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2367612946","https://openalex.org/W2029753718","https://openalex.org/W1753658771","https://openalex.org/W1629475725","https://openalex.org/W1979214743","https://openalex.org/W2129056104","https://openalex.org/W2364439911","https://openalex.org/W1995113169","https://openalex.org/W116343814","https://openalex.org/W2361485199"],"abstract_inverted_index":null,"counts_by_year":[{"year":2016,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
