{"id":"https://openalex.org/W102748966","doi":"https://doi.org/10.1007/978-3-642-23808-6_27","title":"Learning Monotone Nonlinear Models Using the Choquet Integral","display_name":"Learning Monotone Nonlinear Models Using the Choquet Integral","publication_year":2011,"publication_date":"2011-01-01","ids":{"openalex":"https://openalex.org/W102748966","doi":"https://doi.org/10.1007/978-3-642-23808-6_27","mag":"102748966"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-23808-6_27","doi":"https://doi.org/10.1007/978-3-642-23808-6_27","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-23808-6_27","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","ki-jl-1","norway-1","vabb-shw"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"volume":{"id":"https://openalex.org/W4302335702","display_name":"Machine Learning and Knowledge Discovery in Databases"},"type":"conference-paper","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/A5056701637","display_name":"Ali Fallah Tehrani","orcid":"https://orcid.org/0000-0002-7979-774X","observed_orcids":["https://orcid.org/0000-0002-7979-774X"]},"institutions":[{"id":"https://openalex.org/I161103922","display_name":"Philipps University of Marburg","ror":"https://ror.org/01rdrb571","country_code":"DE","type":"education","lineage":["https://openalex.org/I161103922"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Ali Fallah Tehrani","raw_affiliation_strings":["Mathematics and Computer Science, University of Marburg, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematics and Computer Science, University of Marburg, Germany","institution_ids":["https://openalex.org/I161103922"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043737358","display_name":"Weiwei Cheng","orcid":"https://orcid.org/0000-0002-3381-4188","observed_orcids":["https://orcid.org/0000-0002-3381-4188"]},"institutions":[{"id":"https://openalex.org/I161103922","display_name":"Philipps University of Marburg","ror":"https://ror.org/01rdrb571","country_code":"DE","type":"education","lineage":["https://openalex.org/I161103922"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Weiwei Cheng","raw_affiliation_strings":["Mathematics and Computer Science, University of Marburg, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematics and Computer Science, University of Marburg, Germany","institution_ids":["https://openalex.org/I161103922"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5107809890","display_name":"Krzysztof Dembczy","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I161103922","display_name":"Philipps University of Marburg","ror":"https://ror.org/01rdrb571","country_code":"DE","type":"education","lineage":["https://openalex.org/I161103922"]},{"id":"https://openalex.org/I46597724","display_name":"Pozna\u0144 University of Technology","ror":"https://ror.org/00p7p3302","country_code":"PL","type":"education","lineage":["https://openalex.org/I46597724"]}],"countries":["DE","PL"],"is_corresponding":false,"raw_author_name":"Krzysztof Dembczy","raw_affiliation_strings":["Institute of Computing Science, Pozna\u0144 University of Technology, Poland","Mathematics and Computer Science, University of Marburg, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Computing Science, Pozna\u0144 University of Technology, Poland","institution_ids":["https://openalex.org/I46597724"]},{"raw_affiliation_string":"Mathematics and Computer Science, University of Marburg, Germany","institution_ids":["https://openalex.org/I161103922"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5059439673","display_name":"Eyke H\u00fcllermeier","orcid":"https://orcid.org/0000-0002-9944-4108","observed_orcids":["https://orcid.org/0000-0002-9944-4108"]},"institutions":[{"id":"https://openalex.org/I161103922","display_name":"Philipps University of Marburg","ror":"https://ror.org/01rdrb571","country_code":"DE","type":"education","lineage":["https://openalex.org/I161103922"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Eyke H\u00fcllermeier","raw_affiliation_strings":["Mathematics and Computer Science, University of Marburg, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematics and Computer Science, University of Marburg, Germany","institution_ids":["https://openalex.org/I161103922"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":5.6647,"has_fulltext":false,"cited_by_count":40,"citation_normalized_percentile":{"value":0.95876836,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"414","last_page":"429"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.12139999866485596,"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":0.12139999866485596,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.05730000138282776,"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/T10320","display_name":"Neural Networks and Applications","score":0.05000000074505806,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/choquet-integral","display_name":"Choquet integral","score":0.9929999709129333},{"id":"https://openalex.org/keywords/monotonicity-constraints","display_name":"monotonicity constraints","score":0.9509999752044678},{"id":"https://openalex.org/keywords/aggregation-operators","display_name":"aggregation operators","score":0.8370000123977661},{"id":"https://openalex.org/keywords/predictor-variable-importance","display_name":"predictor variable importance","score":0.6949999928474426},{"id":"https://openalex.org/keywords/interaction-measure","display_name":"interaction measure","score":0.5699999928474426},{"id":"https://openalex.org/keywords/multi-criteria-decision-making","display_name":"multi-criteria decision making","score":0.6439999938011169}],"concepts":[{"id":"https://openalex.org/C112799922","wikidata":"https://www.wikidata.org/wiki/Q5104911","display_name":"Choquet integral","level":3,"score":0.9648154973983765},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.7514095306396484},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.6763474941253662},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.5951191782951355},{"id":"https://openalex.org/C2780598303","wikidata":"https://www.wikidata.org/wiki/Q65921492","display_name":"Flexibility (engineering)","level":2,"score":0.5716524124145508},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5231534242630005},{"id":"https://openalex.org/C151956035","wikidata":"https://www.wikidata.org/wiki/Q1132755","display_name":"Logistic regression","level":2,"score":0.45691969990730286},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.44946035742759705},{"id":"https://openalex.org/C100516043","wikidata":"https://www.wikidata.org/wiki/Q4455138","display_name":"Fuzzy measure theory","level":5,"score":0.43121060729026794},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4131563901901245},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.37337344884872437},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37033191323280334},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.33383333683013916},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.11509421467781067},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.09826314449310303},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.08927839994430542},{"id":"https://openalex.org/C5263885","wikidata":"https://www.wikidata.org/wiki/Q1967302","display_name":"Membership function","level":4,"score":0.07767519354820251},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-642-23808-6_27","doi":"https://doi.org/10.1007/978-3-642-23808-6_27","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-23808-6_27","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","ki-jl-1","norway-1","vabb-shw"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W192378032","https://openalex.org/W1484881229","https://openalex.org/W1519766653","https://openalex.org/W1567655227","https://openalex.org/W1573176374","https://openalex.org/W1593930037","https://openalex.org/W1599186469","https://openalex.org/W1869882793","https://openalex.org/W1969855798","https://openalex.org/W1970041071","https://openalex.org/W1973948212","https://openalex.org/W1981276685","https://openalex.org/W2017449401","https://openalex.org/W2023845291","https://openalex.org/W2031925165","https://openalex.org/W2033810643","https://openalex.org/W2038105248","https://openalex.org/W2039045151","https://openalex.org/W2040897920","https://openalex.org/W2072863779","https://openalex.org/W2090961061","https://openalex.org/W2095371287","https://openalex.org/W2106689827","https://openalex.org/W2109603199","https://openalex.org/W2110605196","https://openalex.org/W2133990480","https://openalex.org/W2136593597","https://openalex.org/W2144364256","https://openalex.org/W2293093810","https://openalex.org/W2912187835","https://openalex.org/W3043771091","https://openalex.org/W4230076684","https://openalex.org/W4232799716","https://openalex.org/W4299689471"],"related_works":["https://openalex.org/W6887714342","https://openalex.org/W3166379630","https://openalex.org/W2129179026","https://openalex.org/W1530525332","https://openalex.org/W2979864155","https://openalex.org/W2049466465","https://openalex.org/W3186620842","https://openalex.org/W4404057452","https://openalex.org/W3082397415","https://openalex.org/W1981177511"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":5}],"updated_date":"2026-10-12T09:40:04.860316","created_date":"2016-06-24T00:00:00"}
