{"id":"https://openalex.org/W2800816295","doi":"https://doi.org/10.14736/kyb-2018-2-0268","title":"On $\\star$-associated comonotone functions","display_name":"On $\\star$-associated comonotone functions","publication_year":2018,"publication_date":"2018-04-28","ids":{"openalex":"https://openalex.org/W2800816295","doi":"https://doi.org/10.14736/kyb-2018-2-0268","mag":"2800816295"},"language":"en","primary_location":{"id":"doi:10.14736/kyb-2018-2-0268","is_oa":false,"landing_page_url":"https://doi.org/10.14736/kyb-2018-2-0268","pdf_url":null,"source":{"id":"https://openalex.org/S158577884","display_name":"Kybernetika","issn_l":"0023-5954","issn":["0023-5954","1805-949X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310314340","host_organization_name":"Institute of Information Theory and Automation of the Czech Academy of Sciences","host_organization_lineage":["https://openalex.org/P4310314340","https://openalex.org/P4310314171"],"host_organization_lineage_names":["Institute of Information Theory and Automation of the Czech Academy of Sciences","Czech Academy of Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Kybernetika","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/A5045460400","display_name":"Ondrej Hutn\u00edk","orcid":"https://orcid.org/0000-0003-1189-9667"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ondrej Hutn\u00edk","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5002207504","display_name":"Jozef P\u00f3cs","orcid":"https://orcid.org/0000-0003-0405-8579"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jozef P\u00f3cs","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.206,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.52985609,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"268","last_page":"278"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.54830002784729,"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":0.54830002784729,"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":0.5432000160217285,"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/T13080","display_name":"Advanced Differential Geometry Research","score":0.4781000018119812,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/star","display_name":"Star (game theory)","score":0.6469802856445312},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4813114404678345},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3788178563117981},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3501299023628235},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.11054465174674988}],"concepts":[{"id":"https://openalex.org/C2780897414","wikidata":"https://www.wikidata.org/wiki/Q7600592","display_name":"Star (game theory)","level":2,"score":0.6469802856445312},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4813114404678345},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3788178563117981},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3501299023628235},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11054465174674988}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.14736/kyb-2018-2-0268","is_oa":false,"landing_page_url":"https://doi.org/10.14736/kyb-2018-2-0268","pdf_url":null,"source":{"id":"https://openalex.org/S158577884","display_name":"Kybernetika","issn_l":"0023-5954","issn":["0023-5954","1805-949X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310314340","host_organization_name":"Institute of Information Theory and Automation of the Czech Academy of Sciences","host_organization_lineage":["https://openalex.org/P4310314340","https://openalex.org/P4310314171"],"host_organization_lineage_names":["Institute of Information Theory and Automation of the Czech Academy of Sciences","Czech Academy of Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Kybernetika","raw_type":"journal-article"},{"id":"pmh:oai:oai.dml.cz:10338.dmlcz/147193","is_oa":false,"landing_page_url":"http://hdl.handle.net/10338.dmlcz/147193","pdf_url":null,"source":{"id":"https://openalex.org/S4406922294","display_name":"Czech digital mathematics library","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"type:math"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W610008432","https://openalex.org/W1992786123","https://openalex.org/W2010929656","https://openalex.org/W2171270694","https://openalex.org/W2433537641","https://openalex.org/W2559220518","https://openalex.org/W2626475666","https://openalex.org/W2912721996","https://openalex.org/W3102119399","https://openalex.org/W3123056373","https://openalex.org/W4205215823","https://openalex.org/W4234672050","https://openalex.org/W4300694852"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2042127053"],"abstract_inverted_index":{"summary:We":[0],"give":[1],"a":[2,90,106],"positive":[3],"answer":[4],"to":[5,55,67],"two":[6],"open":[7,83],"problems":[8],"stated":[9],"by":[10,61,123],"Boczek":[11,62],"and":[12,63,77,100,125],"Kaluszka":[13],"in":[14],"their":[15,68],"paper":[16],"[1].":[17],"The":[18,81],"first":[19],"one":[20],"deals":[21,85],"with":[22,70,86],"an":[23,73,87],"algebraic":[24],"characterization":[25],"of":[26,33,49,57,89,92],"comonotonicity.":[27],"We":[28],"show":[29,111],"that":[30,112],"the":[31,47,97],"class":[32],"binary":[34,79,93,120],"operations":[35,94,121],"solving":[36],"this":[37],"problem":[38,84],"contains":[39],"any":[40],"strictly":[41,75],"monotone":[42,76],"right-continuous":[43,78],"operation.":[44,80],"More":[45],"precisely,":[46],"comonotonicity":[48],"functions":[50,58],"is":[51],"equivalent":[52],"not":[53],"only":[54],"$+$-associatedness":[56],"(as":[59],"proved":[60],"Kaluszka),":[64],"but":[65],"also":[66],"$\\star$-associatedness":[69],"$\\star$":[71],"being":[72],"arbitrary":[74],"second":[82],"existence":[88],"pair":[91],"for":[95,118],"which":[96],"generalized":[98],"upper":[99],"lower":[101],"Sugeno":[102],"integrals":[103],"coincide.":[104],"Using":[105],"fairly":[107],"elementary":[108],"observation":[109],"we":[110],"there":[113],"are":[114],"many":[115],"such":[116],"operations,":[117],"instance":[119],"generated":[122],"infima":[124],"suprema":[126],"preserving":[127],"functions.":[128]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}