{"id":"https://openalex.org/W4414121140","doi":"https://doi.org/10.1007/s40314-025-03391-9","title":"Theories, models and bases of attribute implications in multi-adjoint concept lattices with hedges","display_name":"Theories, models and bases of attribute implications in multi-adjoint concept lattices with hedges","publication_year":2025,"publication_date":"2025-09-08","ids":{"openalex":"https://openalex.org/W4414121140","doi":"https://doi.org/10.1007/s40314-025-03391-9"},"language":"en","primary_location":{"id":"doi:10.1007/s40314-025-03391-9","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s40314-025-03391-9","pdf_url":"https://link.springer.com/content/pdf/10.1007/s40314-025-03391-9.pdf","source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"1807-0302","issn":["1807-0302","2238-3603"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational and Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s40314-025-03391-9.pdf","any_repository_has_fulltext":false},"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":true,"raw_author_name":"M. Eugenia Cornejo","raw_affiliation_strings":["Department of Mathematics, University of C\u00e1diz, C\u00e1diz, Spain"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of C\u00e1diz, C\u00e1diz, Spain","institution_ids":["https://openalex.org/I39147953"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001256093","display_name":"Jes\u00fas Medina","orcid":"https://orcid.org/0000-0002-3931-5873"},"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, C\u00e1diz, Spain"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of C\u00e1diz, C\u00e1diz, Spain","institution_ids":["https://openalex.org/I39147953"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5063596476","display_name":"F. Oca\u00f1a","orcid":"https://orcid.org/0000-0002-7037-4994"},"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":"Francisco Jos\u00e9 Oca\u00f1a","raw_affiliation_strings":["Department of Mathematics, University of C\u00e1diz, C\u00e1diz, Spain"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of C\u00e1diz, C\u00e1diz, Spain","institution_ids":["https://openalex.org/I39147953"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5047176352"],"corresponding_institution_ids":["https://openalex.org/I39147953"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.26277748,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"45","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9858999848365784,"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/T10050","display_name":"Multi-Criteria Decision Making","score":0.9787999987602234,"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/focus","display_name":"Focus (optics)","score":0.5044000148773193},{"id":"https://openalex.org/keywords/formal-concept-analysis","display_name":"Formal concept analysis","score":0.477400004863739},{"id":"https://openalex.org/keywords/logical-consequence","display_name":"Logical consequence","score":0.4616999924182892},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.3962000012397766},{"id":"https://openalex.org/keywords/relational-database","display_name":"Relational database","score":0.3700000047683716},{"id":"https://openalex.org/keywords/propositional-calculus","display_name":"Propositional calculus","score":0.3249000012874603},{"id":"https://openalex.org/keywords/relational-model","display_name":"Relational model","score":0.30709999799728394},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.3012000024318695}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5120999813079834},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.5044000148773193},{"id":"https://openalex.org/C76363472","wikidata":"https://www.wikidata.org/wiki/Q1437394","display_name":"Formal concept analysis","level":2,"score":0.477400004863739},{"id":"https://openalex.org/C134752490","wikidata":"https://www.wikidata.org/wiki/Q374182","display_name":"Logical consequence","level":2,"score":0.4616999924182892},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4474000036716461},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4212000072002411},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.3962000012397766},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.387800008058548},{"id":"https://openalex.org/C5655090","wikidata":"https://www.wikidata.org/wiki/Q192588","display_name":"Relational database","level":2,"score":0.3700000047683716},{"id":"https://openalex.org/C69562738","wikidata":"https://www.wikidata.org/wiki/Q200694","display_name":"Propositional calculus","level":2,"score":0.3249000012874603},{"id":"https://openalex.org/C40207289","wikidata":"https://www.wikidata.org/wiki/Q755662","display_name":"Relational model","level":3,"score":0.30709999799728394},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.3012000024318695},{"id":"https://openalex.org/C89611455","wikidata":"https://www.wikidata.org/wiki/Q6804646","display_name":"Mechanism (biology)","level":2,"score":0.29919999837875366},{"id":"https://openalex.org/C74992188","wikidata":"https://www.wikidata.org/wiki/Q239179","display_name":"Non-classical logic","level":3,"score":0.29429998993873596},{"id":"https://openalex.org/C195344581","wikidata":"https://www.wikidata.org/wiki/Q2555318","display_name":"Automated reasoning","level":2,"score":0.2928999960422516},{"id":"https://openalex.org/C102993220","wikidata":"https://www.wikidata.org/wiki/Q387196","display_name":"Description logic","level":2,"score":0.29159998893737793},{"id":"https://openalex.org/C161301231","wikidata":"https://www.wikidata.org/wiki/Q3478658","display_name":"Knowledge representation and reasoning","level":2,"score":0.2809999883174896},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.27630001306533813},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.26570001244544983},{"id":"https://openalex.org/C100481476","wikidata":"https://www.wikidata.org/wiki/Q4055684","display_name":"First-order logic","level":2,"score":0.26179999113082886},{"id":"https://openalex.org/C26320393","wikidata":"https://www.wikidata.org/wiki/Q597053","display_name":"Functional dependency","level":3,"score":0.2531999945640564}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s40314-025-03391-9","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s40314-025-03391-9","pdf_url":"https://link.springer.com/content/pdf/10.1007/s40314-025-03391-9.pdf","source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"1807-0302","issn":["1807-0302","2238-3603"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational and Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s40314-025-03391-9","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s40314-025-03391-9","pdf_url":"https://link.springer.com/content/pdf/10.1007/s40314-025-03391-9.pdf","source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"1807-0302","issn":["1807-0302","2238-3603"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational and Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2262748287","display_name":null,"funder_award_id":"501100011033","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G3429648993","display_name":null,"funder_award_id":"PID202","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G3480869486","display_name":null,"funder_award_id":"13039","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G3681454997","display_name":null,"funder_award_id":"13039/501100011033","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G4042783231","display_name":null,"funder_award_id":"501100011033","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G4126322094","display_name":null,"funder_award_id":"01100011033","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G4816244515","display_name":null,"funder_award_id":"FEDER","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G495392292","display_name":null,"funder_award_id":"FEDER","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G661330594","display_name":null,"funder_award_id":"00110","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G6685425346","display_name":null,"funder_award_id":"0011033","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G7084143925","display_name":null,"funder_award_id":"AEI/10","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G7266728691","display_name":null,"funder_award_id":"13039/501100011033","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G8260616629","display_name":null,"funder_award_id":"011033","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"}],"funders":[{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320335598","display_name":"Agencia Estatal de Investigaci\u00f3n","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4414121140.pdf","grobid_xml":"https://content.openalex.org/works/W4414121140.grobid-xml"},"referenced_works_count":49,"referenced_works":["https://openalex.org/W30901734","https://openalex.org/W1660981353","https://openalex.org/W1667412067","https://openalex.org/W1711140305","https://openalex.org/W1971922025","https://openalex.org/W1996220897","https://openalex.org/W2006612158","https://openalex.org/W2026053661","https://openalex.org/W2045498833","https://openalex.org/W2050239135","https://openalex.org/W2054366832","https://openalex.org/W2064232703","https://openalex.org/W2089512798","https://openalex.org/W2093397547","https://openalex.org/W2095268458","https://openalex.org/W2102476898","https://openalex.org/W2110182592","https://openalex.org/W2133961391","https://openalex.org/W2154494764","https://openalex.org/W2167576560","https://openalex.org/W2202489923","https://openalex.org/W2250615230","https://openalex.org/W2337911793","https://openalex.org/W2483885539","https://openalex.org/W2558796058","https://openalex.org/W2585105539","https://openalex.org/W2740423750","https://openalex.org/W2751486353","https://openalex.org/W2946759837","https://openalex.org/W2955752528","https://openalex.org/W3001665931","https://openalex.org/W3122386586","https://openalex.org/W3128421180","https://openalex.org/W3162333875","https://openalex.org/W3195176593","https://openalex.org/W4220850121","https://openalex.org/W4234976561","https://openalex.org/W4249470828","https://openalex.org/W4255318870","https://openalex.org/W4313543310","https://openalex.org/W4313554716","https://openalex.org/W4313656324","https://openalex.org/W4376865580","https://openalex.org/W4382988009","https://openalex.org/W4388510635","https://openalex.org/W4390662076","https://openalex.org/W4400316593","https://openalex.org/W4400410796","https://openalex.org/W4402125759"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027"],"abstract_inverted_index":{"Abstract":[0],"Modelling":[1],"knowledge":[2],"systems":[3,23],"is":[4,34,141],"a":[5,35,45,52,74],"fundamental":[6],"challenge":[7],"nowadays.":[8],"Logic":[9],"rules":[10,33,50],"are":[11,57],"essential":[12],"for":[13,19],"this":[14,39],"goal":[15],"in":[16,24,119],"order":[17],"to,":[18],"instance,":[20],"design":[21],"decision-support":[22],"artificial":[25],"intelligence.":[26],"However,":[27],"the":[28,65,81,91,95,101,112,120,134,146],"determination":[29],"of":[30,69,83,94,97,114,116,133,138,145],"these":[31],"logic":[32],"complex":[36],"problem.":[37],"In":[38],"line,":[40],"Formal":[41],"Concept":[42],"Analysis":[43],"provides":[44],"mechanism":[46],"to":[47,110],"automatically":[48],"compute":[49],"from":[51,64,73],"relational":[53],"data":[54,76],"set,":[55,77],"which":[56,106,140],"called":[58],"attribute":[59,117],"implications.":[60,85],"The":[61],"difficulty":[62],"arises":[63],"potentially":[66],"large":[67],"number":[68],"valid":[70],"implications":[71,118],"derivable":[72],"given":[75],"as":[78,80],"well":[79],"presence":[82],"redundant":[84],"This":[86],"paper":[87],"will":[88,107,130],"focus":[89],"on":[90],"theoretical":[92],"development":[93],"notions":[96],"theory,":[98],"model":[99],"and":[100],"entailment":[102],"relations":[103],"between":[104],"them,":[105],"allow":[108],"us":[109],"elaborate":[111],"notion":[113],"basis":[115],"multi-adjoint":[121],"concept":[122],"lattice":[123],"framework":[124],"enriched":[125],"with":[126],"truth-stressing":[127],"hedges.":[128],"We":[129],"explore":[131],"one":[132],"most":[135],"common":[136],"types":[137],"bases,":[139],"constructed":[142],"by":[143],"means":[144],"so-called":[147],"pseudo-intents.":[148]},"counts_by_year":[],"updated_date":"2026-03-13T16:22:10.518609","created_date":"2025-10-10T00:00:00"}
