{"id":"https://openalex.org/W2940432020","doi":null,"title":"The Choquet integral as a linear interpolator","display_name":"The Choquet integral as a linear interpolator","publication_year":2004,"publication_date":"2004-01-01","ids":{"openalex":"https://openalex.org/W2940432020","mag":"2940432020"},"language":"en","primary_location":{"id":"pmh:oai:CiteSeerX.psu:10.1.1.321.6899","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.321.6899","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://ces.univ-paris1.fr/membre/Grabisch/articles/perugia04.pdf","raw_type":"text"},"volume":null,"type":"article","is_traditional":true,"indexed_in":[],"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/A5034398981","display_name":"Michel Grabisch B","orcid":"https://orcid.org/0000-0002-3283-1496","observed_orcids":["https://orcid.org/0000-0002-3283-1496"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Michel Grabisch","raw_affiliation_strings":["DECISION"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"DECISION","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5034398981"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":7.5956,"has_fulltext":false,"cited_by_count":30,"citation_normalized_percentile":{"value":0.972435,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":88,"max":93},"biblio":{"volume":null,"issue":null,"first_page":"373","last_page":"378"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.3871999979019165,"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":0.3871999979019165,"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":0.3359000086784363,"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/T10991","display_name":"Game Theory and Voting Systems","score":0.10859999805688858,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/choquet-integral","display_name":"Choquet integral","score":1.0},{"id":"https://openalex.org/keywords/linear-interpolation","display_name":"linear interpolation","score":0.8809999823570251},{"id":"https://openalex.org/keywords/sugeno-integral","display_name":"Sugeno integral","score":0.996999979019165},{"id":"https://openalex.org/keywords/choquet-integral-representation","display_name":"Choquet integral representation","score":0.4950000047683716}],"concepts":[{"id":"https://openalex.org/C112799922","wikidata":"https://www.wikidata.org/wiki/Q5104911","display_name":"Choquet integral","level":3,"score":0.9484765529632568},{"id":"https://openalex.org/C50820777","wikidata":"https://www.wikidata.org/wiki/Q213723","display_name":"Hypercube","level":2,"score":0.8416861295700073},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5737327337265015},{"id":"https://openalex.org/C176684429","wikidata":"https://www.wikidata.org/wiki/Q1076274","display_name":"Choquet theory","level":5,"score":0.4884544909000397},{"id":"https://openalex.org/C27016315","wikidata":"https://www.wikidata.org/wiki/Q580101","display_name":"Integral equation","level":2,"score":0.4125576615333557},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3671001195907593},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3235558271408081},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1535363793373108},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.12615826725959778},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.10245314240455627},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.06244280934333801},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.05468273162841797},{"id":"https://openalex.org/C206194317","wikidata":"https://www.wikidata.org/wiki/Q1138624","display_name":"Convex hull","level":3,"score":0.0},{"id":"https://openalex.org/C134912446","wikidata":"https://www.wikidata.org/wiki/Q5166516","display_name":"Convex body","level":4,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:CiteSeerX.psu:10.1.1.321.6899","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.321.6899","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://ces.univ-paris1.fr/membre/Grabisch/articles/perugia04.pdf","raw_type":"text"},{"id":"pmh:oai:HAL:hal-01496293v1","doi":null,"is_oa":false,"landing_page_url":"https://hal.science/hal-01496293","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4405252976","host_organization_name":"Centre pour la Communication Scientifique Directe","host_organization_lineage":["https://openalex.org/I4405252976"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IPMU 2004 - 10th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems, Jul 2004, Perugia, Italy. pp.373-378","raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W181340276","https://openalex.org/W329965647","https://openalex.org/W1594090284","https://openalex.org/W1979067149","https://openalex.org/W1987848400","https://openalex.org/W2036234778","https://openalex.org/W2066711235","https://openalex.org/W2082601569","https://openalex.org/W2089048646","https://openalex.org/W2106388136","https://openalex.org/W2120733867","https://openalex.org/W2146571406","https://openalex.org/W2168743349"],"related_works":["https://openalex.org/W2890544690","https://openalex.org/W7099328193","https://openalex.org/W7097367869","https://openalex.org/W2282531123","https://openalex.org/W7100170804","https://openalex.org/W7208545334","https://openalex.org/W3168895849","https://openalex.org/W2951943517","https://openalex.org/W1555384497","https://openalex.org/W2728126648"],"abstract_inverted_index":{"We":[0,38],"show":[1,39],"that":[2,40],"the":[3,7,14,19,41,56],"Choquet":[4,42],"integral":[5,43],"is":[6],"unique":[8],"linear":[9],"interpolator":[10],"between":[11],"vertices":[12],"of":[13,23,58],"$[0,":[15],"1]^n$":[16],"hypercube,":[17],"using":[18],"least":[20],"possible":[21],"number":[22],"vertices.":[24],"Related":[25],"results":[26],"by":[27],"Lovasz":[28],"and":[29],"Singer":[30],"are":[31],"discussed,":[32],"as":[33,35],"well":[34],"other":[36],"interpolations.":[37],"for":[44],"bi-capacities":[45],"can":[46],"be":[47],"also":[48],"casted":[49],"into":[50],"this":[51],"framework.":[52],"Lastly,":[53],"we":[54],"discuss":[55],"case":[57],"Sugeno":[59],"integral.":[60]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-11-08T12:12:28.789561","created_date":"2019-04-25T00:00:00"}
