{"id":"https://openalex.org/W4295885666","doi":"https://doi.org/10.1007/s00500-022-07381-5","title":"A way to proper generalization of $$\\phi $$-divergence based on Choquet derivatives","display_name":"A way to proper generalization of $$\\phi $$-divergence based on Choquet derivatives","publication_year":2022,"publication_date":"2022-09-12","ids":{"openalex":"https://openalex.org/W4295885666","doi":"https://doi.org/10.1007/s00500-022-07381-5"},"language":"en","primary_location":{"id":"doi:10.1007/s00500-022-07381-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00500-022-07381-5","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5040545819","display_name":"Zuzana Ontkovi\u010dov\u00e1","orcid":"https://orcid.org/0000-0001-8443-5543"},"institutions":[{"id":"https://openalex.org/I204881574","display_name":"University of Pavol Jozef \u0160af\u00e1rik","ror":"https://ror.org/039965637","country_code":"SK","type":"education","lineage":["https://openalex.org/I204881574"]},{"id":"https://openalex.org/I4210120266","display_name":"Czech Academy of Sciences, Institute of Mathematics","ror":"https://ror.org/02tv1yf50","country_code":"CZ","type":"facility","lineage":["https://openalex.org/I202391551","https://openalex.org/I4210120266"]}],"countries":["CZ","SK"],"is_corresponding":false,"raw_author_name":"Zuzana Ontkovi\u010dov\u00e1","raw_affiliation_strings":["Institute of Mathematics, Pavol Jozef \u0160af\u00e1rik University in Ko\u0161ice, Ko\u0161ice, Slovak Republic"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, Pavol Jozef \u0160af\u00e1rik University in Ko\u0161ice, Ko\u0161ice, Slovak Republic","institution_ids":["https://openalex.org/I204881574","https://openalex.org/I4210120266"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5076719907","display_name":"Jozef Kise\u013e\u00e1k","orcid":"https://orcid.org/0000-0001-6450-4601"},"institutions":[{"id":"https://openalex.org/I204881574","display_name":"University of Pavol Jozef \u0160af\u00e1rik","ror":"https://ror.org/039965637","country_code":"SK","type":"education","lineage":["https://openalex.org/I204881574"]},{"id":"https://openalex.org/I4210120266","display_name":"Czech Academy of Sciences, Institute of Mathematics","ror":"https://ror.org/02tv1yf50","country_code":"CZ","type":"facility","lineage":["https://openalex.org/I202391551","https://openalex.org/I4210120266"]}],"countries":["CZ","SK"],"is_corresponding":true,"raw_author_name":"Jozef Kise\u013e\u00e1k","raw_affiliation_strings":["Institute of Mathematics, Pavol Jozef \u0160af\u00e1rik University in Ko\u0161ice, Ko\u0161ice, Slovak Republic"],"raw_orcid":"https://orcid.org/0000-0001-6450-4601","affiliations":[{"raw_affiliation_string":"Institute of Mathematics, Pavol Jozef \u0160af\u00e1rik University in Ko\u0161ice, Ko\u0161ice, Slovak Republic","institution_ids":["https://openalex.org/I204881574","https://openalex.org/I4210120266"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5076719907"],"corresponding_institution_ids":["https://openalex.org/I204881574","https://openalex.org/I4210120266"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.183,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.80697094,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"26","issue":"21","first_page":"11295","last_page":"11314"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9995999932289124,"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"}},"topics":[{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9995999932289124,"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/T11564","display_name":"Mathematical Inequalities and Applications","score":0.9937000274658203,"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/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9889000058174133,"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/subadditivity","display_name":"Subadditivity","score":0.8753890991210938},{"id":"https://openalex.org/keywords/choquet-integral","display_name":"Choquet integral","score":0.8339877128601074},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.7264111638069153},{"id":"https://openalex.org/keywords/divergence","display_name":"Divergence (linguistics)","score":0.7124709486961365},{"id":"https://openalex.org/keywords/fuzzy-measure-theory","display_name":"Fuzzy measure theory","score":0.6789296865463257},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5968164205551147},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5435881018638611},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.5219194889068604},{"id":"https://openalex.org/keywords/focus","display_name":"Focus (optics)","score":0.5149582028388977},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.4933079779148102},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.44057998061180115},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.33723169565200806},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3326420783996582},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.2807629108428955},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.26218897104263306},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.20081743597984314},{"id":"https://openalex.org/keywords/membership-function","display_name":"Membership function","score":0.1797405183315277},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.13223308324813843},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.09442001581192017},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.05450490117073059}],"concepts":[{"id":"https://openalex.org/C19220575","wikidata":"https://www.wikidata.org/wiki/Q1934099","display_name":"Subadditivity","level":2,"score":0.8753890991210938},{"id":"https://openalex.org/C112799922","wikidata":"https://www.wikidata.org/wiki/Q5104911","display_name":"Choquet integral","level":3,"score":0.8339877128601074},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.7264111638069153},{"id":"https://openalex.org/C207390915","wikidata":"https://www.wikidata.org/wiki/Q1230525","display_name":"Divergence (linguistics)","level":2,"score":0.7124709486961365},{"id":"https://openalex.org/C100516043","wikidata":"https://www.wikidata.org/wiki/Q4455138","display_name":"Fuzzy measure theory","level":5,"score":0.6789296865463257},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5968164205551147},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5435881018638611},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.5219194889068604},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.5149582028388977},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.4933079779148102},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.44057998061180115},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.33723169565200806},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3326420783996582},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.2807629108428955},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.26218897104263306},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.20081743597984314},{"id":"https://openalex.org/C5263885","wikidata":"https://www.wikidata.org/wiki/Q1967302","display_name":"Membership function","level":4,"score":0.1797405183315277},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.13223308324813843},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.09442001581192017},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.05450490117073059},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00500-022-07381-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00500-022-07381-5","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W46965519","https://openalex.org/W152055444","https://openalex.org/W635510250","https://openalex.org/W654110765","https://openalex.org/W908164891","https://openalex.org/W1965555277","https://openalex.org/W1973071586","https://openalex.org/W1992335409","https://openalex.org/W2003538433","https://openalex.org/W2010161926","https://openalex.org/W2044366386","https://openalex.org/W2076007518","https://openalex.org/W2076588064","https://openalex.org/W2122229897","https://openalex.org/W2131940723","https://openalex.org/W2326566786","https://openalex.org/W2537361192","https://openalex.org/W2592046722","https://openalex.org/W2751376329","https://openalex.org/W2886919280","https://openalex.org/W2914419238","https://openalex.org/W2969910024","https://openalex.org/W2996530034","https://openalex.org/W3123056373","https://openalex.org/W3125552691","https://openalex.org/W4205215823","https://openalex.org/W4241423584","https://openalex.org/W4253577938"],"related_works":["https://openalex.org/W2031391348","https://openalex.org/W2135117476","https://openalex.org/W2352838457","https://openalex.org/W2379272961","https://openalex.org/W2022701698","https://openalex.org/W3205429492","https://openalex.org/W2010219143","https://openalex.org/W2110561750","https://openalex.org/W3033668314","https://openalex.org/W2125156511"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2021,"cited_by_count":1}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}