{"id":"https://openalex.org/W2037106898","doi":"https://doi.org/10.1007/s00500-014-1578-0","title":"On Cauchy\u2013Schwarz\u2019s inequality for Choquet-like integrals without the comonotonicity condition","display_name":"On Cauchy\u2013Schwarz\u2019s inequality for Choquet-like integrals without the comonotonicity condition","publication_year":2015,"publication_date":"2015-01-05","ids":{"openalex":"https://openalex.org/W2037106898","doi":"https://doi.org/10.1007/s00500-014-1578-0","mag":"2037106898"},"language":"en","primary_location":{"id":"doi:10.1007/s00500-014-1578-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00500-014-1578-0","pdf_url":null,"source":{"id":"https://openalex.org/S65753830","display_name":"Soft Computing","issn_l":"1432-7643","issn":["1432-7643","1433-7479"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Soft Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://library.utia.cas.cz/separaty/2019/E/mesiar-0506951.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5002546960","display_name":"Hamzeh Agahi","orcid":"https://orcid.org/0000-0002-1608-0530"},"institutions":[{"id":"https://openalex.org/I70876197","display_name":"Babol University of Medical Sciences","ror":"https://ror.org/02r5cmz65","country_code":"IR","type":"education","lineage":["https://openalex.org/I70876197"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"Hamzeh Agahi","raw_affiliation_strings":["Department of Mathematics, Faculty of Basic Sciences, Babol University of Technology, Babol, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Basic Sciences, Babol University of Technology, Babol, Iran","institution_ids":["https://openalex.org/I70876197"]}]},{"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/I4210119419","display_name":"Czech Academy of Sciences, Institute of Information Theory and Automation","ror":"https://ror.org/03h1hsz49","country_code":"CZ","type":"facility","lineage":["https://openalex.org/I202391551","https://openalex.org/I4210119419"]}],"countries":["CZ","SK"],"is_corresponding":false,"raw_author_name":"Radko Mesiar","raw_affiliation_strings":["Department of Mathematics and Descriptive Geometry, Faculty of Civil Engineering, Slovak University of Technology, 81368, Bratislava, Slovakia","Institute of Information Theory and Automation, Academy of Sciences of the Czech Republic, Pod vod\u00e1renskou v\u011b\u017ei 4, 182 08, Praha 8, Czech Republic"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Descriptive Geometry, Faculty of Civil Engineering, Slovak University of Technology, 81368, Bratislava, Slovakia","institution_ids":["https://openalex.org/I110757952"]},{"raw_affiliation_string":"Institute of Information Theory and Automation, Academy of Sciences of the Czech Republic, Pod vod\u00e1renskou v\u011b\u017ei 4, 182 08, Praha 8, Czech Republic","institution_ids":["https://openalex.org/I4210119419"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5002546960"],"corresponding_institution_ids":["https://openalex.org/I70876197"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":2.1013,"has_fulltext":true,"cited_by_count":8,"citation_normalized_percentile":{"value":0.85601401,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"19","issue":"6","first_page":"1627","last_page":"1634"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11564","display_name":"Mathematical Inequalities and Applications","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11564","display_name":"Mathematical Inequalities and Applications","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9968000054359436,"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/T12135","display_name":"Fuzzy Systems and Optimization","score":0.988099992275238,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8134936094284058},{"id":"https://openalex.org/keywords/choquet-integral","display_name":"Choquet integral","score":0.7473507523536682},{"id":"https://openalex.org/keywords/cauchy\u2013schwarz-inequality","display_name":"Cauchy\u2013Schwarz inequality","score":0.6655489802360535},{"id":"https://openalex.org/keywords/multiplication","display_name":"Multiplication (music)","score":0.6198920011520386},{"id":"https://openalex.org/keywords/cauchy-distribution","display_name":"Cauchy distribution","score":0.5515385866165161},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5192080140113831},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4836650788784027},{"id":"https://openalex.org/keywords/inequality","display_name":"Inequality","score":0.4298902451992035},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4179079532623291},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.28181910514831543},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.1192898154258728},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.08364817500114441},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.05960014462471008}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8134936094284058},{"id":"https://openalex.org/C112799922","wikidata":"https://www.wikidata.org/wiki/Q5104911","display_name":"Choquet integral","level":3,"score":0.7473507523536682},{"id":"https://openalex.org/C184701930","wikidata":"https://www.wikidata.org/wiki/Q190546","display_name":"Cauchy\u2013Schwarz inequality","level":3,"score":0.6655489802360535},{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.6198920011520386},{"id":"https://openalex.org/C49344536","wikidata":"https://www.wikidata.org/wiki/Q726441","display_name":"Cauchy distribution","level":2,"score":0.5515385866165161},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5192080140113831},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4836650788784027},{"id":"https://openalex.org/C45555294","wikidata":"https://www.wikidata.org/wiki/Q28113351","display_name":"Inequality","level":2,"score":0.4298902451992035},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4179079532623291},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.28181910514831543},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.1192898154258728},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.08364817500114441},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.05960014462471008},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"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/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00500-014-1578-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00500-014-1578-0","pdf_url":null,"source":{"id":"https://openalex.org/S65753830","display_name":"Soft Computing","issn_l":"1432-7643","issn":["1432-7643","1433-7479"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Soft Computing","raw_type":"journal-article"},{"id":"pmh:oai:asep.lib.cas.cz:CavUnEpca/0506951","is_oa":true,"landing_page_url":"http://hdl.handle.net/11104/0298081","pdf_url":"http://library.utia.cas.cz/separaty/2019/E/mesiar-0506951.pdf","source":{"id":"https://openalex.org/S7407055266","display_name":"ASEP","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":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":{"id":"pmh:oai:asep.lib.cas.cz:CavUnEpca/0506951","is_oa":true,"landing_page_url":"http://hdl.handle.net/11104/0298081","pdf_url":"http://library.utia.cas.cz/separaty/2019/E/mesiar-0506951.pdf","source":{"id":"https://openalex.org/S7407055266","display_name":"ASEP","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":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/publishedVersion"},"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.5199999809265137}],"awards":[{"id":"https://openalex.org/G2389938912","display_name":null,"funder_award_id":"1/0171/12","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/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/W2037106898.pdf","grobid_xml":"https://content.openalex.org/works/W2037106898.grobid-xml"},"referenced_works_count":17,"referenced_works":["https://openalex.org/W610008432","https://openalex.org/W1422646585","https://openalex.org/W1972236894","https://openalex.org/W1985047605","https://openalex.org/W1992786123","https://openalex.org/W2007244968","https://openalex.org/W2010929656","https://openalex.org/W2025507541","https://openalex.org/W2029710801","https://openalex.org/W2033810643","https://openalex.org/W2040789133","https://openalex.org/W2053056488","https://openalex.org/W2062268961","https://openalex.org/W2087171145","https://openalex.org/W2581036147","https://openalex.org/W3043771091","https://openalex.org/W4234672050"],"related_works":["https://openalex.org/W4213046089","https://openalex.org/W1541916863","https://openalex.org/W2042690472","https://openalex.org/W2110605196","https://openalex.org/W2359864538","https://openalex.org/W2036267305","https://openalex.org/W2761247866","https://openalex.org/W96873222","https://openalex.org/W2378743128","https://openalex.org/W2394166000"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}
