{"id":"https://openalex.org/W7151232049","doi":"https://doi.org/10.1016/j.ijar.2026.109682","title":"Bounded and multi-adjoint lattice algebraizable logics","display_name":"Bounded and multi-adjoint lattice algebraizable logics","publication_year":2026,"publication_date":"2026-04-07","ids":{"openalex":"https://openalex.org/W7151232049","doi":"https://doi.org/10.1016/j.ijar.2026.109682"},"language":"en","primary_location":{"id":"doi:10.1016/j.ijar.2026.109682","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.ijar.2026.109682","pdf_url":null,"source":{"id":"https://openalex.org/S33368595","display_name":"International Journal of Approximate Reasoning","issn_l":"0888-613X","issn":["0888-613X","1873-4731"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Approximate Reasoning","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1016/j.ijar.2026.109682","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5047176352","display_name":"M. Eugenia Cornejo","orcid":"https://orcid.org/0000-0002-8230-0044"},"institutions":[{"id":"https://openalex.org/I39147953","display_name":"Universidad de C\u00e1diz","ror":"https://ror.org/04mxxkb11","country_code":"ES","type":"education","lineage":["https://openalex.org/I39147953"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"M. Eugenia Cornejo","raw_affiliation_strings":["Department of Mathematics. University of C\u00e1diz, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics. University of C\u00e1diz, Spain","institution_ids":["https://openalex.org/I39147953"]}]},{"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/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":"Francesc Esteva","raw_affiliation_strings":["Instituto de Investigaci\u00f3n en Inteligencia Artificial (IIIA-CSIC), Bellaterra, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Instituto de Investigaci\u00f3n en Inteligencia Artificial (IIIA-CSIC), Bellaterra, Spain","institution_ids":["https://openalex.org/I4210131846"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062420370","display_name":"Luis Fari\u00f1as del Cerro","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Luis Fari\u00f1as del Cerro","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5119930430","display_name":"Lluis Godo","orcid":null},"institutions":[{"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":true,"raw_author_name":"Lluis Godo","raw_affiliation_strings":["Instituto de Investigaci\u00f3n en Inteligencia Artificial (IIIA-CSIC), Bellaterra, Spain"],"raw_orcid":"https://orcid.org/0000-0002-6929-3126","affiliations":[{"raw_affiliation_string":"Instituto de Investigaci\u00f3n en Inteligencia Artificial (IIIA-CSIC), Bellaterra, Spain","institution_ids":["https://openalex.org/I4210131846"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5084419452","display_name":"Jesus A. Trujillo Medina","orcid":null},"institutions":[{"id":"https://openalex.org/I39147953","display_name":"Universidad de C\u00e1diz","ror":"https://ror.org/04mxxkb11","country_code":"ES","type":"education","lineage":["https://openalex.org/I39147953"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Jes\u00fas Medina","raw_affiliation_strings":["Department of Mathematics. University of C\u00e1diz, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics. University of C\u00e1diz, Spain","institution_ids":["https://openalex.org/I39147953"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5119930430"],"corresponding_institution_ids":["https://openalex.org/I4210131846"],"apc_list":{"value":2960,"currency":"USD","value_usd":2960},"apc_paid":{"value":2960,"currency":"USD","value_usd":2960},"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.41785425,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"195","issue":null,"first_page":"109682","last_page":"109682"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.857699990272522,"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":0.857699990272522,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.02590000070631504,"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/bounded-function","display_name":"Bounded function","score":0.7851999998092651},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.6033999919891357},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.21850000321865082},{"id":"https://openalex.org/keywords/uniform-boundedness","display_name":"Uniform boundedness","score":0.2134999930858612}],"concepts":[{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.7851999998092651},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.6033999919891357},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5205000042915344},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4772000014781952},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3668999969959259},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3167000114917755},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.24500000476837158},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.22360000014305115},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.21850000321865082},{"id":"https://openalex.org/C90377204","wikidata":"https://www.wikidata.org/wiki/Q1052594","display_name":"Uniform boundedness","level":3,"score":0.2134999930858612}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1016/j.ijar.2026.109682","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.ijar.2026.109682","pdf_url":null,"source":{"id":"https://openalex.org/S33368595","display_name":"International Journal of Approximate Reasoning","issn_l":"0888-613X","issn":["0888-613X","1873-4731"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Approximate Reasoning","raw_type":"journal-article"},{"id":"pmh:oai:digital.csic.es:10261/440085","is_oa":true,"landing_page_url":"http://hdl.handle.net/10261/440085","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1016/j.ijar.2026.109682","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.ijar.2026.109682","pdf_url":null,"source":{"id":"https://openalex.org/S33368595","display_name":"International Journal of Approximate Reasoning","issn_l":"0888-613X","issn":["0888-613X","1873-4731"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Approximate Reasoning","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2915237232","display_name":null,"funder_award_id":"PID2022-139835NB-C21","funder_id":"https://openalex.org/F4320315062","funder_display_name":"Ministerio de Ciencia, Innovaci\u00f3n y Universidades"},{"id":"https://openalex.org/G3027683856","display_name":null,"funder_award_id":"TED2021-129748B-I00","funder_id":"https://openalex.org/F4320335322","funder_display_name":"European Regional Development Fund"},{"id":"https://openalex.org/G561040556","display_name":null,"funder_award_id":"TED2021\u2010129748B\u2010I00","funder_id":"https://openalex.org/F4320315062","funder_display_name":"Ministerio de Ciencia, Innovaci\u00f3n y Universidades"},{"id":"https://openalex.org/G5833588112","display_name":null,"funder_award_id":"PID2022-137620NB-I00","funder_id":"https://openalex.org/F4320315062","funder_display_name":"Ministerio de Ciencia, Innovaci\u00f3n y Universidades"},{"id":"https://openalex.org/G6169016097","display_name":null,"funder_award_id":"Andaluc\\u00EDa 2021-2027","funder_id":"https://openalex.org/F4320335322","funder_display_name":"European Regional Development Fund"},{"id":"https://openalex.org/G929308097","display_name":null,"funder_award_id":"MCIN/ AEI/ 10.13039/501100011033","funder_id":"https://openalex.org/F4320335322","funder_display_name":"European Regional Development Fund"}],"funders":[{"id":"https://openalex.org/F3619780700","display_name":"Consejer\u00eda de Universidad, Investigaci\u00f3n e Innovaci\u00f3n, Junta de Andaluc\u00eda","ror":null},{"id":"https://openalex.org/F4320315062","display_name":"Ministerio de Ciencia, Innovaci\u00f3n y Universidades","ror":null},{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320335322","display_name":"European Regional Development Fund","ror":"https://ror.org/00k4n6c32"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1660981353","https://openalex.org/W1965429189","https://openalex.org/W1996220897","https://openalex.org/W2000922072","https://openalex.org/W2039131072","https://openalex.org/W2064232703","https://openalex.org/W2070761857","https://openalex.org/W2091155199","https://openalex.org/W2102885020","https://openalex.org/W2110182592","https://openalex.org/W2594578499","https://openalex.org/W2996142474","https://openalex.org/W3128421180","https://openalex.org/W4220850121","https://openalex.org/W4252113473","https://openalex.org/W4313554716","https://openalex.org/W4414121140","https://openalex.org/W4416729141"],"related_works":[],"abstract_inverted_index":{"Nowadays":[0],"is":[1,105],"critical":[2],"to":[3,118,123],"complement":[4],"Artificial":[5],"Intelligence":[6],"(AI)":[7],"systems,":[8],"such":[9,29],"as":[10,30,81],"those":[11],"based":[12],"on":[13],"Deep":[14],"Learning":[15],"and":[16,21,58,102,138],"Generative":[17],"AI,":[18],"by":[19],"robust":[20],"trustworthy":[22],"methodologies":[23],"like":[24],"different":[25,133],"useful":[26],"mathematical":[27,50],"tools,":[28,51],"(fuzzy)":[31],"logic,":[32],"formal":[33],"concept":[34],"analysis,":[35],"rough":[36],"set":[37],"theory,":[38],"etc.":[39],"Multi-adjoint":[40],"algebras":[41,80],"are":[42,53],"flexible":[43],"structures":[44],"considered":[45],"in":[46,107],"many":[47],"of":[48,78,110,135],"these":[49,79],"which":[52],"fundamental":[54],"for":[55],"obtaining":[56],"traceable":[57],"reliable":[59],"information":[60],"from":[61],"data":[62],"sets.":[63],"Along":[64],"this":[65,67,115],"line,":[66],"paper":[68],"aims":[69],"at":[70],"introducing":[71],"an":[72,100],"algebraizable":[73,106,120],"logic":[74,94,117,121],"having":[75],"the":[76,108,126,136],"quasi-variety":[77],"its":[82],"associated":[83,95],"equivalent":[84],"algebraic":[85],"semantics.":[86],"To":[87],"do":[88],"so,":[89],"we":[90,130],"first":[91],"introduce":[92],"a":[93],"with":[96,99],"bounded":[97],"lattices":[98],"implication":[101],"show":[103],"it":[104],"sense":[109],"Blok-Pigozzi.":[111],"We":[112],"then":[113],"expand":[114],"base":[116],"another":[119],"able":[122],"properly":[124],"capture":[125],"multi-adjoint":[127],"framework.":[128],"Furthermore,":[129],"also":[131],"consider":[132],"extensions":[134],"logics":[137],"their":[139],"properties":[140],"analysed.":[141]},"counts_by_year":[],"updated_date":"2026-08-01T09:00:35.917206","created_date":"2026-04-08T00:00:00"}
