{"id":"https://openalex.org/W4412570069","doi":"https://doi.org/10.3390/axioms14080552","title":"Element-Based Construction Methods for Uninorms on Bounded Lattices","display_name":"Element-Based Construction Methods for Uninorms on Bounded Lattices","publication_year":2025,"publication_date":"2025-07-22","ids":{"openalex":"https://openalex.org/W4412570069","doi":"https://doi.org/10.3390/axioms14080552"},"language":"en","primary_location":{"id":"doi:10.3390/axioms14080552","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14080552","pdf_url":"https://www.mdpi.com/2075-1680/14/8/552/pdf?version=1753192748","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2075-1680/14/8/552/pdf?version=1753192748","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","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":true,"raw_author_name":"\u00dcmit Ertu\u011frul","raw_affiliation_strings":["Department of Mathematics, Karadeniz Technical University, Trabzon 61080, Turkey"],"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/A5005373555","display_name":"Merve Ye\u015filyurt","orcid":"https://orcid.org/0009-0007-7182-6423"},"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":"Merve Ye\u015filyurt","raw_affiliation_strings":["Department of Mathematics, Karadeniz Technical University, Trabzon 61080, Turkey"],"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/A5058341815","display_name":"Radko Mesiar","orcid":"https://orcid.org/0000-0001-6503-949X"},"institutions":[{"id":"https://openalex.org/I110757952","display_name":"Slovak University of Technology in Bratislava","ror":"https://ror.org/0561ghm58","country_code":"SK","type":"education","lineage":["https://openalex.org/I110757952"]},{"id":"https://openalex.org/I187293425","display_name":"University of Ostrava","ror":"https://ror.org/00pyqav47","country_code":"CZ","type":"education","lineage":["https://openalex.org/I187293425"]}],"countries":["CZ","SK"],"is_corresponding":false,"raw_author_name":"Radko Mesiar","raw_affiliation_strings":["CE IT4Innovations\u2014IRAFM, University of Ostrava, 700 30 Ostrava, Czech Republic","Department of Mathematics and Descriptive Geometry, Faculty of Civil Engineering, Slovak University of Technology, Radlinsk\u00e9ho 11, 810 05 Bratislava, Slovakia"],"affiliations":[{"raw_affiliation_string":"CE IT4Innovations\u2014IRAFM, University of Ostrava, 700 30 Ostrava, Czech Republic","institution_ids":["https://openalex.org/I187293425"]},{"raw_affiliation_string":"Department of Mathematics and Descriptive Geometry, Faculty of Civil Engineering, Slovak University of Technology, Radlinsk\u00e9ho 11, 810 05 Bratislava, Slovakia","institution_ids":["https://openalex.org/I110757952"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5011090768"],"corresponding_institution_ids":["https://openalex.org/I162720556"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.24587361,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"14","issue":"8","first_page":"552","last_page":"552"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11159","display_name":"Manufacturing Process and Optimization","score":0.7523999810218811,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11159","display_name":"Manufacturing Process and Optimization","score":0.7523999810218811,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.679021954536438},{"id":"https://openalex.org/keywords/element","display_name":"Element (criminal law)","score":0.6722795963287354},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4714337885379791},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4526502788066864},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4028635025024414},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3598310649394989},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2091035544872284},{"id":"https://openalex.org/keywords/political-science","display_name":"Political science","score":0.07377699017524719}],"concepts":[{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.679021954536438},{"id":"https://openalex.org/C200288055","wikidata":"https://www.wikidata.org/wiki/Q2621792","display_name":"Element (criminal law)","level":2,"score":0.6722795963287354},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4714337885379791},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4526502788066864},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4028635025024414},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3598310649394989},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2091035544872284},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.07377699017524719},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/axioms14080552","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14080552","pdf_url":"https://www.mdpi.com/2075-1680/14/8/552/pdf?version=1753192748","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:13b47b5717a446b196b16be4f2f00d1c","is_oa":true,"landing_page_url":"https://doaj.org/article/13b47b5717a446b196b16be4f2f00d1c","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms, Vol 14, Iss 8, p 552 (2025)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/axioms14080552","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14080552","pdf_url":"https://www.mdpi.com/2075-1680/14/8/552/pdf?version=1753192748","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G8035537998","display_name":null,"funder_award_id":"1/0036/23","funder_id":"https://openalex.org/F4320323641","funder_display_name":"Vedeck\u00e1 Grantov\u00e1 Agent\u00fara M\u0160VVa\u0160 SR a SAV"}],"funders":[{"id":"https://openalex.org/F4320322313","display_name":"Karadeniz Teknik \u00dcniversitesi","ror":"https://ror.org/03z8fyr40"},{"id":"https://openalex.org/F4320322626","display_name":"T\u00fcrkiye Bilimsel ve Teknolojik Ara\u015ft\u0131rma Kurumu","ror":"https://ror.org/04w9kkr77"},{"id":"https://openalex.org/F4320323641","display_name":"Vedeck\u00e1 Grantov\u00e1 Agent\u00fara M\u0160VVa\u0160 SR a SAV","ror":"https://ror.org/044gwpv05"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4412570069.pdf","grobid_xml":"https://content.openalex.org/works/W4412570069.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["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","https://openalex.org/W2962838298","https://openalex.org/W2600246793"],"abstract_inverted_index":{"Uninorms":[0],"are":[1,10,38],"aggregation":[2,71],"operators":[3],"that":[4],"generalize":[5],"the":[6,13,18,52,90,97,100,105,111,118,123,133],"t-norms":[7],"(t-conorms),":[8],"which":[9],"extensions":[11],"of":[12,24,42,60,92,99],"logical":[14],"connectives":[15],"\u2227(\u2228)":[16],"to":[17,115],"fuzzy":[19],"set":[20],"theory.":[21],"The":[22,58],"methods":[23,85,114,127,130],"constructing":[25],"uninorms":[26,61],"on":[27,51,62,89],"more":[28],"general":[29],"algebraic":[30],"structures":[31],"(such":[32],"as":[33,74],"bounded":[34,63],"posets,":[35],"lattices,":[36],"etc.)":[37],"an":[39,45],"important":[40],"subject":[41],"study,":[43],"including":[44,135],"extensive":[46],"work":[47],"concerning":[48],"these":[49],"operations":[50],"unit":[53],"real":[54],"interval":[55],"[0,":[56],"1].":[57],"construction":[59,84,113],"lattices":[64],"has":[65],"been":[66],"extensively":[67],"studied":[68],"using":[69,96],"various":[70],"functions,":[72],"such":[73],"t-norms,":[75],"t-conorms,":[76],"and":[77,107,128],"t-subnorms.":[78],"In":[79],"this":[80],"paper,":[81],"we":[82,121],"present":[83],"for":[86,110],"uninorms,":[87],"based":[88],"elements":[91],"a":[93],"lattice,":[94],"without":[95],"existence":[98],"mentioned":[101],"operators.":[102],"We":[103],"determine":[104],"necessary":[106],"sufficient":[108],"conditions":[109],"introduced":[112],"result":[116],"in":[117],"uninorms.":[119],"Then,":[120],"show":[122],"differences":[124],"between":[125],"our":[126],"several":[129],"known":[131],"from":[132],"literature,":[134],"some":[136],"illustrative":[137],"examples.":[138]},"counts_by_year":[],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}