{"id":"https://openalex.org/W4322745822","doi":"https://doi.org/10.1142/s0218488523500071","title":"Determination of the Smallest-Greatest Uni-Nullnorms and Null-Uninorms on an Arbitrary Bounded Lattice L","display_name":"Determination of the Smallest-Greatest Uni-Nullnorms and Null-Uninorms on an Arbitrary Bounded Lattice L","publication_year":2023,"publication_date":"2023-02-01","ids":{"openalex":"https://openalex.org/W4322745822","doi":"https://doi.org/10.1142/s0218488523500071"},"language":"en","primary_location":{"id":"doi:10.1142/s0218488523500071","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218488523500071","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/A5044551229","display_name":"Mehmet Akif \u0130nce","orcid":"https://orcid.org/0000-0002-8146-5509"},"institutions":[{"id":"https://openalex.org/I161597582","display_name":"Recep Tayyip Erdo\u011fan University","ror":"https://ror.org/0468j1635","country_code":"TR","type":"education","lineage":["https://openalex.org/I161597582"]}],"countries":["TR"],"is_corresponding":true,"raw_author_name":"Mehmet Akif \u0130nce","raw_affiliation_strings":["Department of Mathematics, Recep Tayyip Erdo\u011fan University, 53100 Rize, Turkey"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Recep Tayyip Erdo\u011fan University, 53100 Rize, Turkey","institution_ids":["https://openalex.org/I161597582"]}]},{"author_position":"last","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, 61080 Trabzon, Turkey"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Karadeniz Technical University, 61080 Trabzon, Turkey","institution_ids":["https://openalex.org/I162720556"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5044551229"],"corresponding_institution_ids":["https://openalex.org/I161597582"],"apc_list":null,"apc_paid":null,"fwci":0.4034,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.617087,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":96},"biblio":{"volume":"31","issue":"01","first_page":"103","last_page":"119"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9998999834060669,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9998999834060669,"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/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9994999766349792,"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":0.9984999895095825,"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/mathematics","display_name":"Mathematics","score":0.8206348419189453},{"id":"https://openalex.org/keywords/null","display_name":"Null (SQL)","score":0.7441976070404053},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.69536954164505},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.5817857980728149},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5476445555686951},{"id":"https://openalex.org/keywords/element","display_name":"Element (criminal law)","score":0.42478200793266296},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.14633998274803162},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.04472598433494568},{"id":"https://openalex.org/keywords/law","display_name":"Law","score":0.040599524974823},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.03589561581611633},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.034716010093688965}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8206348419189453},{"id":"https://openalex.org/C203763787","wikidata":"https://www.wikidata.org/wiki/Q371029","display_name":"Null (SQL)","level":2,"score":0.7441976070404053},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.69536954164505},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.5817857980728149},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5476445555686951},{"id":"https://openalex.org/C200288055","wikidata":"https://www.wikidata.org/wiki/Q2621792","display_name":"Element (criminal law)","level":2,"score":0.42478200793266296},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.14633998274803162},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.04472598433494568},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.040599524974823},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.03589561581611633},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.034716010093688965},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218488523500071","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218488523500071","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W611010371","https://openalex.org/W860336327","https://openalex.org/W1775786317","https://openalex.org/W1968505412","https://openalex.org/W1971627724","https://openalex.org/W1994639051","https://openalex.org/W2002138403","https://openalex.org/W2003663899","https://openalex.org/W2005328981","https://openalex.org/W2019142394","https://openalex.org/W2024487576","https://openalex.org/W2030073488","https://openalex.org/W2043951079","https://openalex.org/W2044636175","https://openalex.org/W2055428910","https://openalex.org/W2060878354","https://openalex.org/W2062715728","https://openalex.org/W2114065574","https://openalex.org/W2157343486","https://openalex.org/W2401206522","https://openalex.org/W2560315083","https://openalex.org/W2594064325","https://openalex.org/W2761564764","https://openalex.org/W2911316030","https://openalex.org/W2987291276","https://openalex.org/W4234672050","https://openalex.org/W4292900705"],"related_works":["https://openalex.org/W2951287487","https://openalex.org/W1570309050","https://openalex.org/W1994829526","https://openalex.org/W3013085049","https://openalex.org/W2219563043","https://openalex.org/W2212197444","https://openalex.org/W2097100439","https://openalex.org/W1885898241","https://openalex.org/W1560496689","https://openalex.org/W4386900933"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"study":[4],"uni-nullnorms":[5,23,38],"and":[6,18,24,45],"null-uninorms":[7,26,48],"on":[8,27],"bounded":[9,29],"lattices,":[10],"which":[11],"are":[12],"generalizations":[13],"of":[14],"uninorms,":[15],"nullnorms,":[16],"t-norms":[17],"t-conorms.":[19],"We":[20,34],"construct":[21],"two":[22,25],"a":[28],"lattice":[30],"[Formula:":[31,42,52],"see":[32,43,53],"text].":[33],"determine":[35],"the":[36,46],"smallest-greatest":[37,47],"with":[39,49],"2-neutral":[40,50],"element":[41,51],"text]":[44,54],"by":[55],"using":[56],"these":[57],"construction":[58],"methods.":[59]},"counts_by_year":[{"year":2025,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}