{"id":"https://openalex.org/W2009123512","doi":"https://doi.org/10.1142/s021848850300248x","title":"CLASSES OF INTUITIONISTIC FUZZY T-NORMS SATISFYING THE RESIDUATION PRINCIPLE","display_name":"CLASSES OF INTUITIONISTIC FUZZY T-NORMS SATISFYING THE RESIDUATION PRINCIPLE","publication_year":2003,"publication_date":"2003-12-01","ids":{"openalex":"https://openalex.org/W2009123512","doi":"https://doi.org/10.1142/s021848850300248x","mag":"2009123512"},"language":"en","primary_location":{"id":"doi:10.1142/s021848850300248x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s021848850300248x","pdf_url":null,"source":{"id":"https://openalex.org/S69518169","display_name":"International Journal of Uncertainty Fuzziness and Knowledge-Based Systems","issn_l":"0218-4885","issn":["0218-4885","1793-6411"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems","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/A5012631053","display_name":"Glad Deschrijver","orcid":null},"institutions":[{"id":"https://openalex.org/I32597200","display_name":"Ghent University","ror":"https://ror.org/00cv9y106","country_code":"BE","type":"education","lineage":["https://openalex.org/I32597200"]}],"countries":["BE"],"is_corresponding":true,"raw_author_name":"GLAD DESCHRIJVER","raw_affiliation_strings":["Department of Mathematics and Computer Science, Ghent University,  Fuzziness and Uncertainty Modelling Research Unit, Krijgslaan 281 (S9), B-9000 Gent, Belgium"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Ghent University,  Fuzziness and Uncertainty Modelling Research Unit, Krijgslaan 281 (S9), B-9000 Gent, Belgium","institution_ids":["https://openalex.org/I32597200"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072347317","display_name":"Etienne E. Kerre","orcid":"https://orcid.org/0000-0003-4530-6487"},"institutions":[{"id":"https://openalex.org/I32597200","display_name":"Ghent University","ror":"https://ror.org/00cv9y106","country_code":"BE","type":"education","lineage":["https://openalex.org/I32597200"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"ETIENNE E. KERRE","raw_affiliation_strings":["Department of Mathematics and Computer Science, Ghent University, Fuzziness and Uncertainty Modelling, Research Unit, Krijgslaan 281 (S9), B-9000 Gent, Belgium"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Ghent University, Fuzziness and Uncertainty Modelling, Research Unit, Krijgslaan 281 (S9), B-9000 Gent, Belgium","institution_ids":["https://openalex.org/I32597200"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5012631053"],"corresponding_institution_ids":["https://openalex.org/I32597200"],"apc_list":null,"apc_paid":null,"fwci":4.4222,"has_fulltext":false,"cited_by_count":62,"citation_normalized_percentile":{"value":0.93813963,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"11","issue":"06","first_page":"691","last_page":"709"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9990000128746033,"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"}},"topics":[{"id":"https://openalex.org/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9990000128746033,"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/T10050","display_name":"Multi-Criteria Decision Making","score":0.9988999962806702,"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/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9988999962806702,"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/mathematics","display_name":"Mathematics","score":0.8532635569572449},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.49910879135131836},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.49300190806388855},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.41983193159103394},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4149514138698578},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3914841115474701},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3252808451652527},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.04733538627624512}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8532635569572449},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.49910879135131836},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.49300190806388855},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.41983193159103394},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4149514138698578},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3914841115474701},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3252808451652527},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.04733538627624512},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"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},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s021848850300248x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s021848850300248x","pdf_url":null,"source":{"id":"https://openalex.org/S69518169","display_name":"International Journal of Uncertainty Fuzziness and Knowledge-Based Systems","issn_l":"0218-4885","issn":["0218-4885","1793-6411"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems","raw_type":"journal-article"},{"id":"pmh:oai:archive.ugent.be:208227","is_oa":false,"landing_page_url":"https://biblio.ugent.be/publication/208227","pdf_url":null,"source":{"id":"https://openalex.org/S4306400478","display_name":"Ghent University Academic Bibliography (Ghent University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I32597200","host_organization_name":"Ghent University","host_organization_lineage":["https://openalex.org/I32597200"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN: 0218-4885","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.6399999856948853}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W1606108510","https://openalex.org/W1980564456","https://openalex.org/W1993810822","https://openalex.org/W2054416947","https://openalex.org/W2094744502","https://openalex.org/W2112660043","https://openalex.org/W4292295629"],"related_works":["https://openalex.org/W1996842245","https://openalex.org/W1516407058","https://openalex.org/W4323666601","https://openalex.org/W2324782219","https://openalex.org/W2052299887","https://openalex.org/W2367376693","https://openalex.org/W2312790158","https://openalex.org/W2321608358","https://openalex.org/W2035079120","https://openalex.org/W803286870"],"abstract_inverted_index":{"Intuitionistic":[0],"fuzzy":[1,7,10,24,55,76,99,109,126,145],"sets":[2,11,25],"constitute":[3],"an":[4,17,58],"extension":[5],"of":[6,61,67,124],"sets:":[8],"while":[9],"give":[12,26],"a":[13,21,28,32,78,142],"degree":[14,30],"to":[15,20,52],"which":[16],"element":[18],"belongs":[19],"set,":[22],"intuitionistic":[23,98,108,125,144],"both":[27],"membership":[29],"and":[31,85,93,107,138,157],"non-membership":[33],"degree.":[34],"The":[35],"only":[36,86,111,158],"constraint":[37],"on":[38],"those":[39,68],"two":[40],"degrees":[41],"is":[42,64,89,154],"that":[43,69,96,128,134,141],"the":[44,65,71,75,81,101,104,130,151],"sum":[45],"must":[46],"be":[47],"smaller":[48],"than":[49],"or":[50],"equal":[51],"1.":[53],"In":[54,74,117],"set":[56],"theory,":[57],"important":[59],"class":[60,66],"triangular":[62],"norms":[63],"satisfy":[70,129],"residuation":[72,82,105,131,152],"principle.":[73],"case":[77],"t-norm":[79,146],"satisfies":[80],"principle":[83,106,132,153],"if":[84,87,156,159],"it":[88],"left-continuous.":[90],"Deschrijver,":[91],"Cornelis":[92],"Kerre":[94],"proved":[95],"for":[97,113],"t-norms":[100,127],"equivalence":[102],"between":[103],"left-continuity":[110],"holds":[112],"t-representable":[114,137,155],"t-norms.":[115],"1":[116],"this":[118],"paper":[119],"we":[120,139],"construct":[121],"particular":[122],"subclasses":[123],"but":[133],"are":[135],"not":[136],"show":[140],"continuous":[143],"[Formula:":[147,160],"see":[148,161],"text]":[149],"satisfying":[150],"text].":[162]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":4},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":7},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
