{"id":"https://openalex.org/W4401557331","doi":"https://doi.org/10.1080/03081079.2024.2375437","title":"Idempotent uninorms on bounded lattices with at most a single point incomparable with the neutral element: Part II","display_name":"Idempotent uninorms on bounded lattices with at most a single point incomparable with the neutral element: Part II","publication_year":2024,"publication_date":"2024-08-13","ids":{"openalex":"https://openalex.org/W4401557331","doi":"https://doi.org/10.1080/03081079.2024.2375437"},"language":"en","primary_location":{"id":"doi:10.1080/03081079.2024.2375437","is_oa":false,"landing_page_url":"https://doi.org/10.1080/03081079.2024.2375437","pdf_url":null,"source":{"id":"https://openalex.org/S145553572","display_name":"International Journal of General Systems","issn_l":"0308-1079","issn":["0308-1079","1026-7492","1563-5104"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of General 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/A5020097031","display_name":"Andrea Mesiarov\u00e1\u2010Zem\u00e1nkov\u00e1","orcid":"https://orcid.org/0000-0003-4022-0086"},"institutions":[{"id":"https://openalex.org/I4210120676","display_name":"Mathematical Institute of the Slovak Academy of Sciences","ror":"https://ror.org/02fhy7464","country_code":"SK","type":"facility","lineage":["https://openalex.org/I207624831","https://openalex.org/I4210120676"]},{"id":"https://openalex.org/I207624831","display_name":"Slovak Academy of Sciences","ror":"https://ror.org/03h7qq074","country_code":"SK","type":"funder","lineage":["https://openalex.org/I207624831"]},{"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":true,"raw_author_name":"Andrea Mesiarov\u00e1-Zem\u00e1nkov\u00e1","raw_affiliation_strings":["Slovak Academy of Sciences","University of Ostrava","Mathematical Institute, Slovak Academy of Sciences, Bratislava, Slovakia","Institute for Research and Applications of Fuzzy Modeling, University of Ostrava, Ostrava, Czech Republic"],"affiliations":[{"raw_affiliation_string":"Slovak Academy of Sciences","institution_ids":["https://openalex.org/I207624831"]},{"raw_affiliation_string":"University of Ostrava","institution_ids":["https://openalex.org/I187293425"]},{"raw_affiliation_string":"Mathematical Institute, Slovak Academy of Sciences, Bratislava, Slovakia","institution_ids":["https://openalex.org/I207624831","https://openalex.org/I4210120676"]},{"raw_affiliation_string":"Institute for Research and Applications of Fuzzy Modeling, University of Ostrava, Ostrava, Czech Republic","institution_ids":["https://openalex.org/I187293425"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109573076","display_name":"Radko Mesiar","orcid":null},"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":["Slovak University of Technology Bratislava","University of Ostrava","Department of Mathematics and Descriptive Geometry, Faculty of Civil Engineering, Slovak University of Technology Bratislava, Bratislava, Slovakia","Institute for Research and Applications of Fuzzy Modeling, University of Ostrava, Ostrava, Czech Republic"],"affiliations":[{"raw_affiliation_string":"Slovak University of Technology Bratislava","institution_ids":["https://openalex.org/I110757952"]},{"raw_affiliation_string":"University of Ostrava","institution_ids":["https://openalex.org/I187293425"]},{"raw_affiliation_string":"Department of Mathematics and Descriptive Geometry, Faculty of Civil Engineering, Slovak University of Technology Bratislava, Bratislava, Slovakia","institution_ids":["https://openalex.org/I110757952"]},{"raw_affiliation_string":"Institute for Research and Applications of Fuzzy Modeling, University of Ostrava, Ostrava, Czech Republic","institution_ids":["https://openalex.org/I187293425"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066907969","display_name":"Yong Su","orcid":"https://orcid.org/0000-0001-5746-9908"},"institutions":[{"id":"https://openalex.org/I308837","display_name":"Suzhou University of Science and Technology","ror":"https://ror.org/04en8wb91","country_code":"CN","type":"education","lineage":["https://openalex.org/I308837"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yong Su","raw_affiliation_strings":["Suzhou University of Science and Technology","School of Mathematics Science, Suzhou University of Science and Technology, Suzhou, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"Suzhou University of Science and Technology","institution_ids":["https://openalex.org/I308837"]},{"raw_affiliation_string":"School of Mathematics Science, Suzhou University of Science and Technology, Suzhou, People's Republic of China","institution_ids":["https://openalex.org/I308837"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5040183822","display_name":"Zhudeng Wang","orcid":"https://orcid.org/0000-0002-8599-4926"},"institutions":[{"id":"https://openalex.org/I4210141689","display_name":"Yancheng Teachers University","ror":"https://ror.org/042k5fe81","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210141689"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhudeng Wang","raw_affiliation_strings":["Yancheng Teachers University","School of Mathematics and Statistics, Yancheng Teachers University, Jiangsu, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"Yancheng Teachers University","institution_ids":["https://openalex.org/I4210141689"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Yancheng Teachers University, Jiangsu, People's Republic of China","institution_ids":["https://openalex.org/I4210141689"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5020097031"],"corresponding_institution_ids":["https://openalex.org/I187293425","https://openalex.org/I207624831","https://openalex.org/I4210120676"],"apc_list":null,"apc_paid":null,"fwci":1.7771,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.86297965,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"54","issue":"2","first_page":"164","last_page":"197"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9998000264167786,"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":0.9998000264167786,"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/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9973000288009644,"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":0.9944999814033508,"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":0.8676485419273376},{"id":"https://openalex.org/keywords/idempotence","display_name":"Idempotence","score":0.8274197578430176},{"id":"https://openalex.org/keywords/element","display_name":"Element (criminal law)","score":0.7817435264587402},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.7756813168525696},{"id":"https://openalex.org/keywords/annihilator","display_name":"Annihilator","score":0.5680910348892212},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5445913672447205},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.45284074544906616},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.35001882910728455},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.24903911352157593},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.15837928652763367},{"id":"https://openalex.org/keywords/law","display_name":"Law","score":0.046991437673568726}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8676485419273376},{"id":"https://openalex.org/C172252984","wikidata":"https://www.wikidata.org/wiki/Q368988","display_name":"Idempotence","level":2,"score":0.8274197578430176},{"id":"https://openalex.org/C200288055","wikidata":"https://www.wikidata.org/wiki/Q2621792","display_name":"Element (criminal law)","level":2,"score":0.7817435264587402},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.7756813168525696},{"id":"https://openalex.org/C147073270","wikidata":"https://www.wikidata.org/wiki/Q567083","display_name":"Annihilator","level":3,"score":0.5680910348892212},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5445913672447205},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.45284074544906616},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.35001882910728455},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.24903911352157593},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.15837928652763367},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.046991437673568726},{"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/03081079.2024.2375437","is_oa":false,"landing_page_url":"https://doi.org/10.1080/03081079.2024.2375437","pdf_url":null,"source":{"id":"https://openalex.org/S145553572","display_name":"International Journal of General Systems","issn_l":"0308-1079","issn":["0308-1079","1026-7492","1563-5104"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of General Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4123679474","display_name":null,"funder_award_id":"12271393","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G744368203","display_name":null,"funder_award_id":"11971417","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W4595237","https://openalex.org/W2060878354","https://openalex.org/W2270423577","https://openalex.org/W2324744822","https://openalex.org/W2752303733","https://openalex.org/W2769935536","https://openalex.org/W2949431979","https://openalex.org/W3088693525","https://openalex.org/W3116819432","https://openalex.org/W4221037934","https://openalex.org/W4234672050","https://openalex.org/W4385650864","https://openalex.org/W4386486284","https://openalex.org/W4401251168"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2376671326","https://openalex.org/W3017888148","https://openalex.org/W2361612530","https://openalex.org/W3105502213","https://openalex.org/W2184041913","https://openalex.org/W4225701843","https://openalex.org/W4256486047","https://openalex.org/W2348131447","https://openalex.org/W2535860821"],"abstract_inverted_index":{"This":[0],"is":[1],"the":[2,11,21,28,55,78,86,95,115,125,137],"second":[3],"part":[4],"of":[5,13,23,88,104,131,140],"a":[6],"two-part":[7],"paper":[8],"which":[9],"discusses":[10],"structure":[12],"idempotent":[14,43,68,105,119,141],"uninorms":[15,44,69,90,106,120,142],"on":[16,45,67,70,91,107,143],"bounded":[17,46,71,108],"lattices":[18,47,72,109],"such":[19,48,92,144],"that":[20,49],"set":[22],"all":[24,50],"points":[25,51],"incomparable":[26,76,113,123],"with":[27,54,73,77,110,114,121,124],"neutral":[29,56,79,116,126],"element":[30,80],"contains":[31],"at":[32],"most":[33],"one":[34,74,111],"point.":[35],"In":[36,94],"Part":[37,97],"I":[38],"we":[39,59,82,99,135],"have":[40,60,83],"completely":[41,84],"characterized":[42,85],"are":[52],"comparable":[53],"element.":[57],"Moreover,":[58],"shown":[61],"some":[62],"basic":[63],"properties":[64],"and":[65,81,128],"observations":[66],"point":[75,112],"class":[87],"internal":[89],"lattices.":[93,145],"present":[96],"II":[98],"characterize":[100],"two":[101],"special":[102,133],"classes":[103],"element,":[117,127],"including":[118],"annihilator":[122],"by":[129],"composition":[130],"these":[132],"cases":[134],"show":[136],"complete":[138],"characterization":[139]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":1}],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-10-10T00:00:00"}
