{"id":"https://openalex.org/W3190639004","doi":"https://doi.org/10.1109/fuzz45933.2021.9494572","title":"Robust Possibilistic Optimization with Copula Function","display_name":"Robust Possibilistic Optimization with Copula Function","publication_year":2021,"publication_date":"2021-07-11","ids":{"openalex":"https://openalex.org/W3190639004","doi":"https://doi.org/10.1109/fuzz45933.2021.9494572","mag":"3190639004"},"language":"en","primary_location":{"id":"doi:10.1109/fuzz45933.2021.9494572","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzz45933.2021.9494572","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 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/A5053996323","display_name":"Romain Guillaume","orcid":"https://orcid.org/0000-0003-4978-630X"},"institutions":[{"id":"https://openalex.org/I17866349","display_name":"Universit\u00e9 F\u00e9d\u00e9rale de Toulouse Midi-Pyr\u00e9n\u00e9es","ror":"https://ror.org/004raaa70","country_code":"FR","type":"education","lineage":["https://openalex.org/I17866349"]},{"id":"https://openalex.org/I4210119061","display_name":"Institut de Recherche en Informatique de Toulouse","ror":"https://ror.org/01rx4qw44","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I205747304","https://openalex.org/I205747304","https://openalex.org/I4210119061","https://openalex.org/I4387153255","https://openalex.org/I4405258862","https://openalex.org/I4405258862"]},{"id":"https://openalex.org/I134560555","display_name":"Universit\u00e9 Toulouse III - Paul Sabatier","ror":"https://ror.org/02v6kpv12","country_code":"FR","type":"education","lineage":["https://openalex.org/I134560555","https://openalex.org/I4405258862"]},{"id":"https://openalex.org/I3131550300","display_name":"Universit\u00e9 Toulouse-I-Capitole","ror":"https://ror.org/0443n9e75","country_code":"FR","type":"education","lineage":["https://openalex.org/I3131550300"]},{"id":"https://openalex.org/I4210160189","display_name":"Institut Polytechnique de Bordeaux","ror":"https://ror.org/054qv7y42","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210160189"]},{"id":"https://openalex.org/I4210152422","display_name":"Universit\u00e9 Toulouse - Jean Jaur\u00e8s","ror":"https://ror.org/04ezk3x31","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210152422","https://openalex.org/I4405258862"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Romain Guillaume","raw_affiliation_strings":["Universit\u00e9 de Toulouse-IRIT, Toulouse, France","IRIT-ADRIA - Argumentation, D\u00e9cision, Raisonnement, Incertitude et Apprentissage (Institut de recherche en informatique de Toulouse - IRIT\r\n118 Route de Narbonne\r\n31062 Toulouse Cedex 9  - France)"],"affiliations":[{"raw_affiliation_string":"Universit\u00e9 de Toulouse-IRIT, Toulouse, France","institution_ids":["https://openalex.org/I4210119061","https://openalex.org/I17866349","https://openalex.org/I134560555","https://openalex.org/I3131550300","https://openalex.org/I4210160189","https://openalex.org/I4210152422"]},{"raw_affiliation_string":"IRIT-ADRIA - Argumentation, D\u00e9cision, Raisonnement, Incertitude et Apprentissage (Institut de recherche en informatique de Toulouse - IRIT\r\n118 Route de Narbonne\r\n31062 Toulouse Cedex 9  - France)","institution_ids":["https://openalex.org/I4210152422","https://openalex.org/I134560555","https://openalex.org/I4210119061","https://openalex.org/I3131550300","https://openalex.org/I4210160189"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082213199","display_name":"Adam Kasperski","orcid":"https://orcid.org/0000-0003-1956-1812"},"institutions":[{"id":"https://openalex.org/I686019","display_name":"AGH University of Krakow","ror":"https://ror.org/00bas1c41","country_code":"PL","type":"education","lineage":["https://openalex.org/I686019"]},{"id":"https://openalex.org/I11923345","display_name":"Wroc\u0142aw University of Science and Technology","ror":"https://ror.org/008fyn775","country_code":"PL","type":"education","lineage":["https://openalex.org/I11923345"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Adam Kasperski","raw_affiliation_strings":["Wroc\u0142aw University of Science and Technology, Wroc\u0142aw, Poland","Wroclaw University of Science and Technology (27 Wybrze\u017ce Wyspia\u0144skiego St\r\n50-370 Wroc\u0142aw - Poland)"],"affiliations":[{"raw_affiliation_string":"Wroc\u0142aw University of Science and Technology, Wroc\u0142aw, Poland","institution_ids":["https://openalex.org/I11923345","https://openalex.org/I686019"]},{"raw_affiliation_string":"Wroclaw University of Science and Technology (27 Wybrze\u017ce Wyspia\u0144skiego St\r\n50-370 Wroc\u0142aw - Poland)","institution_ids":["https://openalex.org/I11923345","https://openalex.org/I686019"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5035521253","display_name":"Pawe\u0142 Zieli\u0144ski","orcid":"https://orcid.org/0000-0002-1466-2887"},"institutions":[{"id":"https://openalex.org/I686019","display_name":"AGH University of Krakow","ror":"https://ror.org/00bas1c41","country_code":"PL","type":"education","lineage":["https://openalex.org/I686019"]},{"id":"https://openalex.org/I11923345","display_name":"Wroc\u0142aw University of Science and Technology","ror":"https://ror.org/008fyn775","country_code":"PL","type":"education","lineage":["https://openalex.org/I11923345"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Pawel Zielinski","raw_affiliation_strings":["Wroc\u0142aw University of Science and Technology, Wroc\u0142aw, Poland","Wroclaw University of Science and Technology (27 Wybrze\u017ce Wyspia\u0144skiego St\r\n50-370 Wroc\u0142aw - Poland)"],"affiliations":[{"raw_affiliation_string":"Wroc\u0142aw University of Science and Technology, Wroc\u0142aw, Poland","institution_ids":["https://openalex.org/I11923345","https://openalex.org/I686019"]},{"raw_affiliation_string":"Wroclaw University of Science and Technology (27 Wybrze\u017ce Wyspia\u0144skiego St\r\n50-370 Wroc\u0142aw - Poland)","institution_ids":["https://openalex.org/I11923345","https://openalex.org/I686019"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5053996323"],"corresponding_institution_ids":["https://openalex.org/I134560555","https://openalex.org/I17866349","https://openalex.org/I3131550300","https://openalex.org/I4210119061","https://openalex.org/I4210152422","https://openalex.org/I4210160189"],"apc_list":null,"apc_paid":null,"fwci":0.232,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.58253488,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"36","issue":null,"first_page":"1","last_page":"6"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9990000128746033,"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"}},"topics":[{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9990000128746033,"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"}},{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9983000159263611,"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/T11413","display_name":"Risk and Portfolio Optimization","score":0.9979000091552734,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/copula","display_name":"Copula (linguistics)","score":0.7372511029243469},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6261904239654541},{"id":"https://openalex.org/keywords/robust-optimization","display_name":"Robust optimization","score":0.5847306847572327},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5338788032531738},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.5174953937530518},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4977867603302002},{"id":"https://openalex.org/keywords/possibility-theory","display_name":"Possibility theory","score":0.4462870955467224},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4386010766029358},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.35170888900756836},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.14109951257705688},{"id":"https://openalex.org/keywords/econometrics","display_name":"Econometrics","score":0.14086756110191345}],"concepts":[{"id":"https://openalex.org/C17618745","wikidata":"https://www.wikidata.org/wiki/Q207509","display_name":"Copula (linguistics)","level":2,"score":0.7372511029243469},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6261904239654541},{"id":"https://openalex.org/C193254401","wikidata":"https://www.wikidata.org/wiki/Q2160088","display_name":"Robust optimization","level":2,"score":0.5847306847572327},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5338788032531738},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.5174953937530518},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4977867603302002},{"id":"https://openalex.org/C137912672","wikidata":"https://www.wikidata.org/wiki/Q1967096","display_name":"Possibility theory","level":4,"score":0.4462870955467224},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4386010766029358},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.35170888900756836},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.14109951257705688},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.14086756110191345}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/fuzz45933.2021.9494572","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzz45933.2021.9494572","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)","raw_type":"proceedings-article"},{"id":"pmh:oai:HAL:hal-03324820v1","is_oa":false,"landing_page_url":"https://hal.science/hal-03324820","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://ieeexplore.ieee.org/document/9494572","raw_type":"Conference papers"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W105701950","https://openalex.org/W117394065","https://openalex.org/W2015844393","https://openalex.org/W2058062479","https://openalex.org/W2078191589","https://openalex.org/W2119436275","https://openalex.org/W2124613385","https://openalex.org/W2615737084","https://openalex.org/W3082211490","https://openalex.org/W4388342220","https://openalex.org/W6858066872"],"related_works":["https://openalex.org/W3149055374","https://openalex.org/W2053131036","https://openalex.org/W2216231335","https://openalex.org/W3195104199","https://openalex.org/W4386254288","https://openalex.org/W4292572523","https://openalex.org/W2809352861","https://openalex.org/W2056349093","https://openalex.org/W2952007803","https://openalex.org/W2919687292"],"abstract_inverted_index":{"This":[0],"paper":[1,48],"deals":[2],"with":[3,8],"a":[4,26,39,65],"linear":[5],"optimization":[6,20],"problem":[7],"uncertain":[9],"objective":[10,34,58,93],"function":[11,94],"coefficients":[12,59],"modeled":[13],"by":[14,62],"possibility":[15,86],"distributions.":[16],"The":[17,44],"fuzzy":[18,81],"robust":[19,82],"framework":[21],"is":[22,36,42,49,71],"applied":[23],"to":[24,50],"compute":[25],"solution.":[27],"Namely,":[28],"the":[29,33,52,57,78,89,92,99,102],"necessity":[30],"degree":[31],"that":[32,73],"value":[35],"lower":[37],"than":[38],"given":[40],"threshold":[41],"maximized.":[43],"aim":[45],"of":[46,64,67,80,91,101],"this":[47,74],"take":[51],"knowledge":[53],"on":[54],"dependencies":[55],"between":[56],"into":[60],"account":[61],"means":[63],"family":[66],"copula":[68],"functions.":[69],"It":[70],"shown":[72],"new":[75],"approach":[76],"limits":[77],"conservatism":[79],"optimization,":[83],"better":[84],"evaluates":[85],"distributions":[87],"for":[88],"values":[90],"and":[95],"do":[96],"not":[97],"increase":[98],"complexity":[100],"problem.":[103]},"counts_by_year":[{"year":2023,"cited_by_count":1}],"updated_date":"2026-02-25T08:12:03.925757","created_date":"2025-10-10T00:00:00"}