{"id":"https://openalex.org/W3015345119","doi":"https://doi.org/10.1109/tfuzz.2020.2985337","title":"Induced Triangular Norms and Negations on Bounded Lattices","display_name":"Induced Triangular Norms and Negations on Bounded Lattices","publication_year":2020,"publication_date":"2020-04-07","ids":{"openalex":"https://openalex.org/W3015345119","doi":"https://doi.org/10.1109/tfuzz.2020.2985337","mag":"3015345119"},"language":"en","primary_location":{"id":"doi:10.1109/tfuzz.2020.2985337","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tfuzz.2020.2985337","pdf_url":null,"source":{"id":"https://openalex.org/S134177497","display_name":"IEEE Transactions on Fuzzy Systems","issn_l":"1063-6706","issn":["1063-6706","1941-0034"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Fuzzy Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://digibug.ugr.es/bitstream/10481/93952/1/TFUZZ2985337-1.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5032349511","display_name":"F. J. Lobillo","orcid":"https://orcid.org/0000-0002-7372-0442"},"institutions":[{"id":"https://openalex.org/I173304897","display_name":"Universidad de Granada","ror":"https://ror.org/04njjy449","country_code":"ES","type":"education","lineage":["https://openalex.org/I173304897"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"F. J. Lobillo","raw_affiliation_strings":["CITIC and the Department of Algebra, University of Granada, Granada, Spain"],"raw_orcid":"https://orcid.org/0000-0002-7372-0442","affiliations":[{"raw_affiliation_string":"CITIC and the Department of Algebra, University of Granada, Granada, Spain","institution_ids":["https://openalex.org/I173304897"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060547894","display_name":"Luis Merino","orcid":"https://orcid.org/0000-0002-3531-3184"},"institutions":[{"id":"https://openalex.org/I173304897","display_name":"Universidad de Granada","ror":"https://ror.org/04njjy449","country_code":"ES","type":"education","lineage":["https://openalex.org/I173304897"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Luis Merino","raw_affiliation_strings":["Department of Algebra, University of Granada, Granada, Spain"],"raw_orcid":"https://orcid.org/0000-0002-3531-3184","affiliations":[{"raw_affiliation_string":"Department of Algebra, University of Granada, Granada, Spain","institution_ids":["https://openalex.org/I173304897"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102008815","display_name":"Gabriel Navarro","orcid":"https://orcid.org/0000-0002-9895-5686"},"institutions":[{"id":"https://openalex.org/I173304897","display_name":"Universidad de Granada","ror":"https://ror.org/04njjy449","country_code":"ES","type":"education","lineage":["https://openalex.org/I173304897"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Gabriel Navarro","raw_affiliation_strings":["CITIC and the Department of Computer Science and Artificial Intelligence, University of Granada, Granada, Spain"],"raw_orcid":"https://orcid.org/0000-0002-9895-5686","affiliations":[{"raw_affiliation_string":"CITIC and the Department of Computer Science and Artificial Intelligence, University of Granada, Granada, Spain","institution_ids":["https://openalex.org/I173304897"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5047039674","display_name":"Evangelina Santos","orcid":"https://orcid.org/0000-0001-8842-0824"},"institutions":[{"id":"https://openalex.org/I173304897","display_name":"Universidad de Granada","ror":"https://ror.org/04njjy449","country_code":"ES","type":"education","lineage":["https://openalex.org/I173304897"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Evangelina Santos","raw_affiliation_strings":["Department of Algebra, University of Granada, Granada, Spain"],"raw_orcid":"https://orcid.org/0000-0001-8842-0824","affiliations":[{"raw_affiliation_string":"Department of Algebra, University of Granada, Granada, Spain","institution_ids":["https://openalex.org/I173304897"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5032349511"],"corresponding_institution_ids":["https://openalex.org/I173304897"],"apc_list":null,"apc_paid":null,"fwci":0.6795,"has_fulltext":true,"cited_by_count":10,"citation_normalized_percentile":{"value":0.76020549,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"29","issue":"7","first_page":"1802","last_page":"1814"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9987999796867371,"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"}},"topics":[{"id":"https://openalex.org/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9987999796867371,"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"}},{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9977999925613403,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9969000220298767,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/negation","display_name":"Negation","score":0.7341301441192627},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6940242648124695},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6018387675285339},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.5871975421905518},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5836207866668701},{"id":"https://openalex.org/keywords/domain-theory","display_name":"Domain theory","score":0.5347655415534973},{"id":"https://openalex.org/keywords/t-norm","display_name":"T-norm","score":0.49791479110717773},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.46733295917510986},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4636915922164917},{"id":"https://openalex.org/keywords/type-2-fuzzy-sets-and-systems","display_name":"Type-2 fuzzy sets and systems","score":0.44787508249282837},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.41520148515701294},{"id":"https://openalex.org/keywords/fuzzy-set-operations","display_name":"Fuzzy set operations","score":0.3996322453022003},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.27247196435928345},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2552822232246399},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.24488195776939392}],"concepts":[{"id":"https://openalex.org/C2185349","wikidata":"https://www.wikidata.org/wiki/Q190558","display_name":"Negation","level":2,"score":0.7341301441192627},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6940242648124695},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6018387675285339},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.5871975421905518},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5836207866668701},{"id":"https://openalex.org/C29585364","wikidata":"https://www.wikidata.org/wiki/Q1079166","display_name":"Domain theory","level":2,"score":0.5347655415534973},{"id":"https://openalex.org/C2721081","wikidata":"https://www.wikidata.org/wiki/Q2383161","display_name":"T-norm","level":5,"score":0.49791479110717773},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.46733295917510986},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4636915922164917},{"id":"https://openalex.org/C17350324","wikidata":"https://www.wikidata.org/wiki/Q7860605","display_name":"Type-2 fuzzy sets and systems","level":5,"score":0.44787508249282837},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.41520148515701294},{"id":"https://openalex.org/C148671577","wikidata":"https://www.wikidata.org/wiki/Q5511133","display_name":"Fuzzy set operations","level":4,"score":0.3996322453022003},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.27247196435928345},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2552822232246399},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.24488195776939392},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tfuzz.2020.2985337","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tfuzz.2020.2985337","pdf_url":null,"source":{"id":"https://openalex.org/S134177497","display_name":"IEEE Transactions on Fuzzy Systems","issn_l":"1063-6706","issn":["1063-6706","1941-0034"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Fuzzy Systems","raw_type":"journal-article"},{"id":"pmh:oai:digibug.ugr.es:10481/93952","is_oa":true,"landing_page_url":"https://hdl.handle.net/10481/93952","pdf_url":"https://digibug.ugr.es/bitstream/10481/93952/1/TFUZZ2985337-1.pdf","source":{"id":"https://openalex.org/S4306400567","display_name":"Institutional Repository of the University of Granada (University of Granada)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I173304897","host_organization_name":"Universidad de Granada","host_organization_lineage":["https://openalex.org/I173304897"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"journal article"}],"best_oa_location":{"id":"pmh:oai:digibug.ugr.es:10481/93952","is_oa":true,"landing_page_url":"https://hdl.handle.net/10481/93952","pdf_url":"https://digibug.ugr.es/bitstream/10481/93952/1/TFUZZ2985337-1.pdf","source":{"id":"https://openalex.org/S4306400567","display_name":"Institutional Repository of the University of Granada (University of Granada)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I173304897","host_organization_name":"Universidad de Granada","host_organization_lineage":["https://openalex.org/I173304897"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"journal article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W3015345119.pdf"},"referenced_works_count":35,"referenced_works":["https://openalex.org/W121476659","https://openalex.org/W230325874","https://openalex.org/W1512983462","https://openalex.org/W1786392412","https://openalex.org/W1977854243","https://openalex.org/W1982800052","https://openalex.org/W1984974630","https://openalex.org/W1989616339","https://openalex.org/W2025021415","https://openalex.org/W2046869978","https://openalex.org/W2054483756","https://openalex.org/W2070564912","https://openalex.org/W2083264271","https://openalex.org/W2093915645","https://openalex.org/W2101221363","https://openalex.org/W2125070528","https://openalex.org/W2131429285","https://openalex.org/W2146292002","https://openalex.org/W2154929490","https://openalex.org/W2157041604","https://openalex.org/W2164879989","https://openalex.org/W2171606899","https://openalex.org/W2484215240","https://openalex.org/W2578456536","https://openalex.org/W2588231702","https://openalex.org/W2616337127","https://openalex.org/W2742022543","https://openalex.org/W2912565176","https://openalex.org/W4206636130","https://openalex.org/W4211007335","https://openalex.org/W4234672050","https://openalex.org/W4245152641","https://openalex.org/W4249962476","https://openalex.org/W6647385706","https://openalex.org/W6667845075"],"related_works":["https://openalex.org/W2674573885","https://openalex.org/W2614887008","https://openalex.org/W1996900481","https://openalex.org/W2253053392","https://openalex.org/W2960454922","https://openalex.org/W4388516489","https://openalex.org/W1485268022","https://openalex.org/W2331106272","https://openalex.org/W1542808721","https://openalex.org/W1538607327"],"abstract_inverted_index":{"Some":[0],"relevant":[1],"notions":[2],"in":[3,51,56,104,125],"fuzzy":[4,37,52,135,141],"set":[5],"theory":[6,54,145],"are":[7,39],"those":[8],"of":[9,20,28,36,63,90,97,113],"triangular-(t)-":[10],"norm,":[11],"t-conorm,":[12],"and":[13,67],"negation,":[14],"which":[15],"provide":[16],"a":[17,48,79,122],"systematic":[18],"way":[19],"defining":[21],"set-theoretic":[22],"operations,":[23],"or,":[24],"from":[25,42],"other":[26],"point":[27],"view,":[29],"logical":[30],"connectives.":[31],"For":[32],"instance,":[33],"the":[34,61,105,114,126,144],"majority":[35],"implications":[38],"directly":[40],"derived":[41],"these":[43],"operators,":[44],"so":[45,117],"they":[46],"play":[47],"prominent":[49],"role":[50],"control":[53],"or":[55,101,139],"approximate":[57],"reasoning.":[58],"This":[59],"incites":[60],"search":[62],"suitable":[64],"t-norms,":[65],"t-conorms,":[66,100],"negations":[68],"for":[69,85,94,149],"solving":[70],"each":[71,95],"specific":[72],"problem.":[73],"In":[74],"this":[75],"article,":[76],"we":[77,82,108],"propose":[78],"procedure,":[80],"that":[81,118],"call":[83],"induction,":[84],"designing":[86],"them":[87],"on":[88],"spaces":[89],"lattice-valued":[91],"maps.":[92],"Concretely,":[93],"family":[96],"operators":[98],"(t-norms,":[99],"negations)":[102],"indexed":[103],"domain":[106],"set,":[107],"may":[109,130],"induce":[110],"an":[111],"operator":[112],"same":[115],"kind,":[116],"our":[119],"method":[120],"offers":[121],"great":[123],"flexibility":[124],"design":[127],"task.":[128],"It":[129],"be":[131],"applied":[132],"to":[133],"well-known":[134],"objects":[136],"as":[137],"interval-valued":[138],"type-2":[140],"sets.":[142],"Nevertheless,":[143],"is":[146],"formally":[147],"developed":[148],"arbitrary":[150],"bounded":[151],"lattices.":[152]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2020-04-17T00:00:00"}