{"id":"https://openalex.org/W3027806185","doi":"https://doi.org/10.1109/fuzz48607.2020.9177539","title":"Manipulating Focal Sets on the Unit Simplex: Application to Plastic Sorting","display_name":"Manipulating Focal Sets on the Unit Simplex: Application to Plastic Sorting","publication_year":2020,"publication_date":"2020-07-01","ids":{"openalex":"https://openalex.org/W3027806185","doi":"https://doi.org/10.1109/fuzz48607.2020.9177539","mag":"3027806185"},"language":"en","primary_location":{"id":"doi:10.1109/fuzz48607.2020.9177539","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzz48607.2020.9177539","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2020 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)","raw_type":"proceedings-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/A5036715323","display_name":"Lucie Kunitomo-Jacquin","orcid":"https://orcid.org/0000-0001-8961-3417"},"institutions":[{"id":"https://openalex.org/I19894307","display_name":"Universit\u00e9 de Montpellier","ror":"https://ror.org/051escj72","country_code":"FR","type":"education","lineage":["https://openalex.org/I19894307"]},{"id":"https://openalex.org/I4210127738","display_name":"IMT Mines Al\u00e8s","ror":"https://ror.org/03e8rf594","country_code":"FR","type":"education","lineage":["https://openalex.org/I205703379","https://openalex.org/I4210127738"]},{"id":"https://openalex.org/I4402554207","display_name":"EuroMov Digital Health in Motion","ror":"https://ror.org/054b22910","country_code":null,"type":"facility","lineage":["https://openalex.org/I19894307","https://openalex.org/I205703379","https://openalex.org/I4210127738","https://openalex.org/I4402554207"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Lucie Jacquin","raw_affiliation_strings":["EuroMov Digital Health in Motion, Univ Montpellier, IMT Mines Ales, Ales, France","I3A - Informatique, Image, Intelligence Artificielle (IMT Mines Al\u00e8s - 7 rue Jules Renard - Al\u00e8s - 30319 Cedex  - France)"],"affiliations":[{"raw_affiliation_string":"EuroMov Digital Health in Motion, Univ Montpellier, IMT Mines Ales, Ales, France","institution_ids":["https://openalex.org/I4210127738","https://openalex.org/I19894307","https://openalex.org/I4402554207"]},{"raw_affiliation_string":"I3A - Informatique, Image, Intelligence Artificielle (IMT Mines Al\u00e8s - 7 rue Jules Renard - Al\u00e8s - 30319 Cedex  - France)","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072470272","display_name":"Abdelhak Imoussaten","orcid":"https://orcid.org/0000-0002-1292-2681"},"institutions":[{"id":"https://openalex.org/I19894307","display_name":"Universit\u00e9 de Montpellier","ror":"https://ror.org/051escj72","country_code":"FR","type":"education","lineage":["https://openalex.org/I19894307"]},{"id":"https://openalex.org/I4210127738","display_name":"IMT Mines Al\u00e8s","ror":"https://ror.org/03e8rf594","country_code":"FR","type":"education","lineage":["https://openalex.org/I205703379","https://openalex.org/I4210127738"]},{"id":"https://openalex.org/I4402554207","display_name":"EuroMov Digital Health in Motion","ror":"https://ror.org/054b22910","country_code":null,"type":"facility","lineage":["https://openalex.org/I19894307","https://openalex.org/I205703379","https://openalex.org/I4210127738","https://openalex.org/I4402554207"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Abdelhak Imoussaten","raw_affiliation_strings":["EuroMov Digital Health in Motion, Univ Montpellier, IMT Mines Ales, Ales, France","I3A - Informatique, Image, Intelligence Artificielle (IMT Mines Al\u00e8s - 7 rue Jules Renard - Al\u00e8s - 30319 Cedex  - France)"],"affiliations":[{"raw_affiliation_string":"EuroMov Digital Health in Motion, Univ Montpellier, IMT Mines Ales, Ales, France","institution_ids":["https://openalex.org/I4210127738","https://openalex.org/I19894307","https://openalex.org/I4402554207"]},{"raw_affiliation_string":"I3A - Informatique, Image, Intelligence Artificielle (IMT Mines Al\u00e8s - 7 rue Jules Renard - Al\u00e8s - 30319 Cedex  - France)","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070285963","display_name":"S\u00e9bastien Destercke","orcid":"https://orcid.org/0000-0003-2026-468X"},"institutions":[{"id":"https://openalex.org/I102516824","display_name":"Universit\u00e9 de Technologie de Compi\u00e8gne","ror":"https://ror.org/04y5kwa70","country_code":"FR","type":"education","lineage":["https://openalex.org/I102516824"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]},{"id":"https://openalex.org/I4210088387","display_name":"Heuristics and Diagnostics for Complex Systems","ror":"https://ror.org/0075hvk77","country_code":"FR","type":"facility","lineage":["https://openalex.org/I102516824","https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210088387","https://openalex.org/I4210159245"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Sebastien Destercke","raw_affiliation_strings":["UTC CNRS, Sorbonne universit\u00e9s, Compi\u00e8gne","Heudiasyc - Heuristique et Diagnostic des Syst\u00e8mes Complexes [Compi\u00e8gne] (UTC, CS 60319 - 57 avenue de Landshut - 60203 Compi\u00e8gne cedex - France)"],"affiliations":[{"raw_affiliation_string":"UTC CNRS, Sorbonne universit\u00e9s, Compi\u00e8gne","institution_ids":["https://openalex.org/I102516824","https://openalex.org/I39804081","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Heudiasyc - Heuristique et Diagnostic des Syst\u00e8mes Complexes [Compi\u00e8gne] (UTC, CS 60319 - 57 avenue de Landshut - 60203 Compi\u00e8gne cedex - France)","institution_ids":["https://openalex.org/I4210088387","https://openalex.org/I102516824"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084539447","display_name":"Fran\u00e7ois Trousset","orcid":"https://orcid.org/0000-0003-1189-5156"},"institutions":[{"id":"https://openalex.org/I4210127738","display_name":"IMT Mines Al\u00e8s","ror":"https://ror.org/03e8rf594","country_code":"FR","type":"education","lineage":["https://openalex.org/I205703379","https://openalex.org/I4210127738"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Francois Trousset","raw_affiliation_strings":["Laboratoire des Sciences des Risques (LSR), IMT Mines Ales, Ales, France","ISOAR - Ing\u00e9nierie des Syst\u00e8mes et des Organisations pour les Activit\u00e9s \u00e0 Risque (6 Avenue de Clavi\u00e8res, 30100 Al\u00e8s - France)"],"affiliations":[{"raw_affiliation_string":"Laboratoire des Sciences des Risques (LSR), IMT Mines Ales, Ales, France","institution_ids":["https://openalex.org/I4210127738"]},{"raw_affiliation_string":"ISOAR - Ing\u00e9nierie des Syst\u00e8mes et des Organisations pour les Activit\u00e9s \u00e0 Risque (6 Avenue de Clavi\u00e8res, 30100 Al\u00e8s - France)","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5019212344","display_name":"Jacky Montmain","orcid":"https://orcid.org/0000-0003-0918-5788"},"institutions":[{"id":"https://openalex.org/I19894307","display_name":"Universit\u00e9 de Montpellier","ror":"https://ror.org/051escj72","country_code":"FR","type":"education","lineage":["https://openalex.org/I19894307"]},{"id":"https://openalex.org/I4210127738","display_name":"IMT Mines Al\u00e8s","ror":"https://ror.org/03e8rf594","country_code":"FR","type":"education","lineage":["https://openalex.org/I205703379","https://openalex.org/I4210127738"]},{"id":"https://openalex.org/I4402554207","display_name":"EuroMov Digital Health in Motion","ror":"https://ror.org/054b22910","country_code":null,"type":"facility","lineage":["https://openalex.org/I19894307","https://openalex.org/I205703379","https://openalex.org/I4210127738","https://openalex.org/I4402554207"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Jacky Montmain","raw_affiliation_strings":["EuroMov Digital Health in Motion, Univ Montpellier, IMT Mines Ales, Ales, France","I3A - Informatique, Image, Intelligence Artificielle (IMT Mines Al\u00e8s - 7 rue Jules Renard - Al\u00e8s - 30319 Cedex  - France)"],"affiliations":[{"raw_affiliation_string":"EuroMov Digital Health in Motion, Univ Montpellier, IMT Mines Ales, Ales, France","institution_ids":["https://openalex.org/I4210127738","https://openalex.org/I19894307","https://openalex.org/I4402554207"]},{"raw_affiliation_string":"I3A - Informatique, Image, Intelligence Artificielle (IMT Mines Al\u00e8s - 7 rue Jules Renard - Al\u00e8s - 30319 Cedex  - France)","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5077291110","display_name":"Didier Perrin","orcid":"https://orcid.org/0000-0001-8292-540X"},"institutions":[{"id":"https://openalex.org/I2197358","display_name":"Leo Pharma (Australia)","ror":"https://ror.org/00vvs5b96","country_code":"AU","type":"company","lineage":["https://openalex.org/I2197358","https://openalex.org/I4210124980","https://openalex.org/I4210165112"]},{"id":"https://openalex.org/I4210127738","display_name":"IMT Mines Al\u00e8s","ror":"https://ror.org/03e8rf594","country_code":"FR","type":"education","lineage":["https://openalex.org/I205703379","https://openalex.org/I4210127738"]}],"countries":["AU","FR"],"is_corresponding":false,"raw_author_name":"Didier Perrin","raw_affiliation_strings":["IMT Mines Ales, Polymers Composites and Hybrids (PCH), Ales, France","PCH - IMT Mines Al\u00e8s - Polym\u00e8res Composites et Hybrides (6 Avenue de Clavi\u00e8res, 30100 Al\u00e8s - France)"],"affiliations":[{"raw_affiliation_string":"IMT Mines Ales, Polymers Composites and Hybrids (PCH), Ales, France","institution_ids":["https://openalex.org/I2197358","https://openalex.org/I4210127738"]},{"raw_affiliation_string":"PCH - IMT Mines Al\u00e8s - Polym\u00e8res Composites et Hybrides (6 Avenue de Clavi\u00e8res, 30100 Al\u00e8s - France)","institution_ids":["https://openalex.org/I4210127738"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5036715323"],"corresponding_institution_ids":["https://openalex.org/I19894307","https://openalex.org/I4210127738","https://openalex.org/I4402554207"],"apc_list":null,"apc_paid":null,"fwci":0.359,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.64090531,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"42","issue":null,"first_page":"1","last_page":"7"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9871000051498413,"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":0.9871000051498413,"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/T12072","display_name":"Machine Learning and Algorithms","score":0.9458000063896179,"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/sorting","display_name":"Sorting","score":0.8139761090278625},{"id":"https://openalex.org/keywords/simplex","display_name":"Simplex","score":0.6633902192115784},{"id":"https://openalex.org/keywords/face","display_name":"Face (sociological concept)","score":0.6287544965744019},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.6206357479095459},{"id":"https://openalex.org/keywords/inference","display_name":"Inference","score":0.5995774269104004},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5921677947044373},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.5685790777206421},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4514372646808624},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.45130619406700134},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4475270211696625},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3903273940086365},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3442955017089844},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2774288058280945},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.12901297211647034}],"concepts":[{"id":"https://openalex.org/C111696304","wikidata":"https://www.wikidata.org/wiki/Q2303697","display_name":"Sorting","level":2,"score":0.8139761090278625},{"id":"https://openalex.org/C62438384","wikidata":"https://www.wikidata.org/wiki/Q331350","display_name":"Simplex","level":2,"score":0.6633902192115784},{"id":"https://openalex.org/C2779304628","wikidata":"https://www.wikidata.org/wiki/Q3503480","display_name":"Face (sociological concept)","level":2,"score":0.6287544965744019},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.6206357479095459},{"id":"https://openalex.org/C2776214188","wikidata":"https://www.wikidata.org/wiki/Q408386","display_name":"Inference","level":2,"score":0.5995774269104004},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5921677947044373},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.5685790777206421},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4514372646808624},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.45130619406700134},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4475270211696625},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3903273940086365},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3442955017089844},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2774288058280945},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.12901297211647034},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C36289849","wikidata":"https://www.wikidata.org/wiki/Q34749","display_name":"Social science","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},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/fuzz48607.2020.9177539","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzz48607.2020.9177539","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2020 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)","raw_type":"proceedings-article"},{"id":"pmh:oai:HAL:hal-02529955v1","is_oa":false,"landing_page_url":"https://imt-mines-ales.hal.science/hal-02529955","pdf_url":null,"source":{"id":"https://openalex.org/S4406922461","display_name":"SPIRE - Sciences Po Institutional REpository","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":"https://wcci2020.org/fuzz-sessions/","raw_type":"Conference papers"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W2003432374","https://openalex.org/W2049886280","https://openalex.org/W2066843515","https://openalex.org/W2117079761","https://openalex.org/W2406470551","https://openalex.org/W2797148637","https://openalex.org/W2896631359","https://openalex.org/W2969671511","https://openalex.org/W2994599043","https://openalex.org/W4301347335"],"related_works":["https://openalex.org/W2063021680","https://openalex.org/W2739612537","https://openalex.org/W2357922472","https://openalex.org/W2384278689","https://openalex.org/W2349174696","https://openalex.org/W2360241746","https://openalex.org/W4313041667","https://openalex.org/W2767599893","https://openalex.org/W2563365141","https://openalex.org/W2386777115"],"abstract_inverted_index":{"Belief":[0],"functions":[1,30],"are":[2,31],"quite":[3],"generic":[4],"models":[5,21],"when":[6],"it":[7,14],"comes":[8],"to":[9,42,71,79],"represent":[10,80],"uncertain":[11],"data,":[12],"as":[13],"extends":[15],"a":[16,47,123],"wide":[17],"range":[18],"of":[19,59,110,116,129],"uncertainty":[20],"(possiblity":[22],"and":[23,66],"probability":[24],"distributions,":[25],"among":[26],"others).":[27],"Usually,":[28],"belief":[29],"defined":[32],"over":[33,46,122],"finite":[34],"spaces,":[35],"however":[36],"many":[37],"real":[38],"word":[39],"problems":[40],"require":[41],"deal":[43],"with":[44],"beliefs":[45],"continuous":[48],"space":[49],"while":[50,125],"maintaining":[51],"computational":[52],"efficiency.":[53],"This":[54],"paper":[55],"discusses":[56],"the":[57,63,114,127],"case":[58],"focal":[60],"sets":[61,75],"on":[62,106],"unit":[64],"simplex,":[65],"proposes":[67],"efficient":[68],"inference":[69],"tools":[70],"manipulate":[72],"them.":[73],"Such":[74],"can":[76],"be":[77],"used":[78],"unknown":[81],"proportions":[82],"that":[83],"one":[84],"may":[85],"face":[86],"in":[87],"various":[88],"fields":[89],"like":[90],"soil":[91],"contamination":[92],"managing,":[93],"plastic":[94,111],"sorting":[95],"or":[96],"image":[97],"reconstruction.":[98],"In":[99],"this":[100],"paper,":[101],"we":[102],"illustrate":[103],"their":[104],"use":[105],"an":[107],"industrial":[108],"problem":[109],"sorting,":[112],"where":[113],"proportion":[115],"material":[117],"impurities":[118],"must":[119],"not":[120],"go":[121],"limit":[124],"minimizing":[126],"rejection":[128],"sorted":[130],"materials,":[131],"whose":[132],"nature":[133],"is":[134],"uncertain.":[135]},"counts_by_year":[{"year":2020,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
