{"id":"https://openalex.org/W7127442267","doi":"https://doi.org/10.1007/s40314-026-03641-4","title":"Construction methods for interval-valued t-norms on bounded lattices","display_name":"Construction methods for interval-valued t-norms on bounded lattices","publication_year":2026,"publication_date":"2026-02-03","ids":{"openalex":"https://openalex.org/W7127442267","doi":"https://doi.org/10.1007/s40314-026-03641-4"},"language":"en","primary_location":{"id":"doi:10.1007/s40314-026-03641-4","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s40314-026-03641-4","pdf_url":"https://link.springer.com/content/pdf/10.1007/s40314-026-03641-4.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/s40314-026-03641-4.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5124962890","display_name":"K\u00fcbra Karacair","orcid":null},"institutions":[{"id":"https://openalex.org/I162720556","display_name":"Karadeniz Technical University","ror":"https://ror.org/03z8fyr40","country_code":"TR","type":"education","lineage":["https://openalex.org/I162720556"]}],"countries":["TR"],"is_corresponding":true,"raw_author_name":"K\u00fcbra Karacair","raw_affiliation_strings":["Department of Mathematics, Karadeniz Technical University, Trabzon, 61080, Turkey"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Karadeniz Technical University, Trabzon, 61080, Turkey","institution_ids":["https://openalex.org/I162720556"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011090768","display_name":"\u00dcm\u0131t Ertu\u011frul","orcid":"https://orcid.org/0000-0003-0672-8134"},"institutions":[{"id":"https://openalex.org/I162720556","display_name":"Karadeniz Technical University","ror":"https://ror.org/03z8fyr40","country_code":"TR","type":"education","lineage":["https://openalex.org/I162720556"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"\u00dcmit Ertu\u011frul","raw_affiliation_strings":["Department of Mathematics, Karadeniz Technical University, Trabzon, 61080, Turkey"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Karadeniz Technical University, Trabzon, 61080, Turkey","institution_ids":["https://openalex.org/I162720556"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5007301257","display_name":"Funda Kara\u00e7al","orcid":"https://orcid.org/0000-0002-2602-1788"},"institutions":[{"id":"https://openalex.org/I162720556","display_name":"Karadeniz Technical University","ror":"https://ror.org/03z8fyr40","country_code":"TR","type":"education","lineage":["https://openalex.org/I162720556"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Funda Kara\u00e7al","raw_affiliation_strings":["Department of Mathematics, Karadeniz Technical University, Trabzon, 61080, Turkey"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Karadeniz Technical University, Trabzon, 61080, Turkey","institution_ids":["https://openalex.org/I162720556"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5009023776","display_name":"Junsheng Qiao","orcid":"https://orcid.org/0000-0003-1854-9256"},"institutions":[{"id":"https://openalex.org/I68986083","display_name":"Northwest Normal University","ror":"https://ror.org/00gx3j908","country_code":"CN","type":"education","lineage":["https://openalex.org/I68986083"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Junsheng Qiao","raw_affiliation_strings":["College of Mathematics and Statistics, Northwest Normal University, Lanzhou, 730070, PR China","Gansu Provincial Research Center for Basic Disciplines of Mathematics and Statistics, Northwest Normal University, Lanzhou, PR China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics and Statistics, Northwest Normal University, Lanzhou, 730070, PR China","institution_ids":["https://openalex.org/I68986083"]},{"raw_affiliation_string":"Gansu Provincial Research Center for Basic Disciplines of Mathematics and Statistics, Northwest Normal University, Lanzhou, PR China","institution_ids":["https://openalex.org/I68986083"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5124962890"],"corresponding_institution_ids":["https://openalex.org/I162720556"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.1970516,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"45","issue":"6","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.320499986410141,"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":0.320499986410141,"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/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.27239999175071716,"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":0.1995999962091446,"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/bounded-function","display_name":"Bounded function","score":0.5774000287055969},{"id":"https://openalex.org/keywords/upset","display_name":"Upset","score":0.4228000044822693},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3824999928474426},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3434000015258789},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.2581999897956848},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.2574000060558319}],"concepts":[{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5774000287055969},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5113999843597412},{"id":"https://openalex.org/C2778002589","wikidata":"https://www.wikidata.org/wiki/Q2406791","display_name":"Upset","level":2,"score":0.4228000044822693},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3824999928474426},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3578999936580658},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3434000015258789},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.32739999890327454},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2824999988079071},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2782999873161316},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.2581999897956848},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.2574000060558319},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.257099986076355},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.25360000133514404},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.25200000405311584}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s40314-026-03641-4","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s40314-026-03641-4","pdf_url":"https://link.springer.com/content/pdf/10.1007/s40314-026-03641-4.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/s40314-026-03641-4","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s40314-026-03641-4","pdf_url":"https://link.springer.com/content/pdf/10.1007/s40314-026-03641-4.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":[{"display_name":"Sustainable cities and communities","score":0.7639782428741455,"id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7127442267.pdf","grobid_xml":"https://content.openalex.org/works/W7127442267.grobid-xml"},"referenced_works_count":19,"referenced_works":["https://openalex.org/W2044636175","https://openalex.org/W2075658985","https://openalex.org/W2138407334","https://openalex.org/W2149589816","https://openalex.org/W2155976821","https://openalex.org/W2437100734","https://openalex.org/W2578456536","https://openalex.org/W2970858836","https://openalex.org/W2982031253","https://openalex.org/W3009889304","https://openalex.org/W4210782511","https://openalex.org/W4234672050","https://openalex.org/W4286256611","https://openalex.org/W4317378991","https://openalex.org/W4396851248","https://openalex.org/W4414212868","https://openalex.org/W4414652474","https://openalex.org/W4415187664","https://openalex.org/W4415212958"],"related_works":[],"abstract_inverted_index":{"Abstract":[0],"In":[1],"this":[2,46],"paper,":[3],"some":[4],"construction":[5,27,42,52],"methods":[6,28,43,53],"for":[7],"interval-valued":[8,55],"t-norms":[9,56],"(t-conorms)":[10,57],"based":[11],"on":[12,58],"a":[13,37],"down-set":[14],"or":[15],"an":[16],"upset":[17],"are":[18,68],"presented.":[19],"It":[20],"is":[21,36],"worth":[22],"noting":[23],"that":[24],"the":[25,41,49,73],"new":[26],"do":[29],"not":[30],"have":[31],"to":[32,71],"be":[33],"t-representable,":[34],"which":[35],"significant":[38],"difference":[39],"between":[40],"proposed":[44],"in":[45],"paper":[47],"and":[48,66],"commonly":[50],"used":[51],"of":[54],"other":[59],"truth":[60],"values":[61],"sets.":[62],"Some":[63],"illustrative":[64],"examples":[65],"remarks":[67],"also":[69],"included":[70],"clarify":[72],"methods.":[74]},"counts_by_year":[],"updated_date":"2026-05-03T08:25:01.440150","created_date":"2026-02-04T00:00:00"}
