{"id":"https://openalex.org/W7163819625","doi":"https://doi.org/10.1016/j.fss.2026.110012","title":"Representation of classes Utop and Ubot of uninorms on bounded lattices","display_name":"Representation of classes Utop and Ubot of uninorms on bounded lattices","publication_year":2026,"publication_date":"2026-06-07","ids":{"openalex":"https://openalex.org/W7163819625","doi":"https://doi.org/10.1016/j.fss.2026.110012"},"language":"en","primary_location":{"id":"doi:10.1016/j.fss.2026.110012","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.fss.2026.110012","pdf_url":null,"source":{"id":"https://openalex.org/S169411308","display_name":"Fuzzy Sets and Systems","issn_l":"0165-0114","issn":["0165-0114","1872-6801"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Fuzzy Sets and 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/A5138084372","display_name":"Xu Zheng","orcid":null},"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":"Xu Zheng","raw_affiliation_strings":["College of Mathematics and Statistics, Northwest Normal University, Lanzhou, 730070, 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"]}]},{"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/I4210125346","display_name":"Gansu Institute of Political Science and Law","ror":"https://ror.org/025km4h87","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210125346"]},{"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":true,"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, Lanzhou, 730070, PR China"],"raw_orcid":"https://orcid.org/0000-0003-1854-9256","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, Lanzhou, 730070, PR China","institution_ids":["https://openalex.org/I4210125346"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5009023776"],"corresponding_institution_ids":["https://openalex.org/I4210125346","https://openalex.org/I68986083"],"apc_list":{"value":2600,"currency":"USD","value_usd":2600},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.74286433,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"542","issue":null,"first_page":"110012","last_page":"110012"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.8047999739646912,"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":0.8047999739646912,"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":0.08320000022649765,"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/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.043800000101327896,"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":0.7236999869346619},{"id":"https://openalex.org/keywords/closure","display_name":"Closure (psychology)","score":0.5482000112533569},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.5382999777793884},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.519599974155426},{"id":"https://openalex.org/keywords/representation-theorem","display_name":"Representation theorem","score":0.461899995803833},{"id":"https://openalex.org/keywords/triangular-matrix","display_name":"Triangular matrix","score":0.4490000009536743},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.43689998984336853}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8888000249862671},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.7236999869346619},{"id":"https://openalex.org/C146834321","wikidata":"https://www.wikidata.org/wiki/Q2979672","display_name":"Closure (psychology)","level":2,"score":0.5482000112533569},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.5382999777793884},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.519599974155426},{"id":"https://openalex.org/C2776230367","wikidata":"https://www.wikidata.org/wiki/Q7314222","display_name":"Representation theorem","level":2,"score":0.461899995803833},{"id":"https://openalex.org/C104528550","wikidata":"https://www.wikidata.org/wiki/Q506265","display_name":"Triangular matrix","level":3,"score":0.4490000009536743},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4472000002861023},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.43689998984336853},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.40560001134872437},{"id":"https://openalex.org/C183778304","wikidata":"https://www.wikidata.org/wiki/Q165474","display_name":"Commutative property","level":2,"score":0.3684999942779541},{"id":"https://openalex.org/C175454919","wikidata":"https://www.wikidata.org/wiki/Q2342396","display_name":"Bounded operator","level":3,"score":0.3626999855041504},{"id":"https://openalex.org/C2721081","wikidata":"https://www.wikidata.org/wiki/Q2383161","display_name":"T-norm","level":5,"score":0.323199987411499},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3107999861240387},{"id":"https://openalex.org/C2776038885","wikidata":"https://www.wikidata.org/wiki/Q1555242","display_name":"Regular representation","level":3,"score":0.30149999260902405},{"id":"https://openalex.org/C68386474","wikidata":"https://www.wikidata.org/wiki/Q980557","display_name":"Operator norm","level":3,"score":0.26739999651908875},{"id":"https://openalex.org/C160771489","wikidata":"https://www.wikidata.org/wiki/Q10564851","display_name":"Closure operator","level":3,"score":0.2653000056743622}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.fss.2026.110012","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.fss.2026.110012","pdf_url":null,"source":{"id":"https://openalex.org/S169411308","display_name":"Fuzzy Sets and Systems","issn_l":"0165-0114","issn":["0165-0114","1872-6801"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Fuzzy Sets and Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W1986302899","https://openalex.org/W2048288497","https://openalex.org/W2050971688","https://openalex.org/W2060878354","https://openalex.org/W2062715728","https://openalex.org/W2093915645","https://openalex.org/W2114065574","https://openalex.org/W2401206522","https://openalex.org/W2437100734","https://openalex.org/W2912620690","https://openalex.org/W2940723418","https://openalex.org/W2945117288","https://openalex.org/W2949431979","https://openalex.org/W2991946326","https://openalex.org/W2996487416","https://openalex.org/W3008031176","https://openalex.org/W3095318284","https://openalex.org/W3100395575","https://openalex.org/W3111524512","https://openalex.org/W3121993344","https://openalex.org/W3155984981","https://openalex.org/W3172070201","https://openalex.org/W4307285025","https://openalex.org/W4367186936","https://openalex.org/W4396520472","https://openalex.org/W4402977027","https://openalex.org/W4414216666"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-06-13T06:13:01.061226","created_date":"2026-06-08T00:00:00"}