{"id":"https://openalex.org/W2124986648","doi":"https://doi.org/10.1155/2009/252989","title":"Mathematical Programming Approaches to Classification Problems","display_name":"Mathematical Programming Approaches to Classification Problems","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W2124986648","doi":"https://doi.org/10.1155/2009/252989","mag":"2124986648"},"language":"en","primary_location":{"id":"doi:10.1155/2009/252989","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2009/252989","pdf_url":"https://downloads.hindawi.com/journals/aor/2009/252989.pdf","source":{"id":"https://openalex.org/S33782831","display_name":"Advances in Operations Research","issn_l":"1687-9147","issn":["1687-9147","1687-9155"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Operations Research","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://downloads.hindawi.com/journals/aor/2009/252989.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5011881104","display_name":"Soulef Smaoui","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Soulef Smaoui","raw_affiliation_strings":["Unit\u00e9 de Recherche en Gestion Industrielle et Aide \u00e0 la D\u00e9cision, Facult\u00e9 des Sciences Economiques et de Gestion, Sfax, Tunisia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Unit\u00e9 de Recherche en Gestion Industrielle et Aide \u00e0 la D\u00e9cision, Facult\u00e9 des Sciences Economiques et de Gestion, Sfax, Tunisia","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045242549","display_name":"Habib Chabchoub","orcid":"https://orcid.org/0000-0002-1101-2360"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Habib Chabchoub","raw_affiliation_strings":["Unit\u00e9 de Recherche en Gestion Industrielle et Aide \u00e0 la D\u00e9cision, Facult\u00e9 des Sciences Economiques et de Gestion, Sfax, Tunisia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Unit\u00e9 de Recherche en Gestion Industrielle et Aide \u00e0 la D\u00e9cision, Facult\u00e9 des Sciences Economiques et de Gestion, Sfax, Tunisia","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5086524631","display_name":"Bela\u0131\u0308d Aouni","orcid":"https://orcid.org/0000-0003-2124-5413"},"institutions":[{"id":"https://openalex.org/I52353378","display_name":"Laurentian University","ror":"https://ror.org/03rcwtr18","country_code":"CA","type":"education","lineage":["https://openalex.org/I52353378"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Belaid Aouni","raw_affiliation_strings":["Decision Aid Research Group, School of Commerce and Administration, Faculty of Management, Laurentian University, Sudbury, ON, P3E2C6 , Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Decision Aid Research Group, School of Commerce and Administration, Faculty of Management, Laurentian University, Sudbury, ON, P3E2C6 , Canada","institution_ids":["https://openalex.org/I52353378"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5086524631"],"corresponding_institution_ids":["https://openalex.org/I52353378"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":0.5675,"has_fulltext":true,"cited_by_count":7,"citation_normalized_percentile":{"value":0.71955662,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"2009","issue":null,"first_page":"1","last_page":"34"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11871","display_name":"Advanced Statistical Methods and Models","score":0.9912999868392944,"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/T11871","display_name":"Advanced Statistical Methods and Models","score":0.9912999868392944,"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/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9855999946594238,"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/T12709","display_name":"Optimization and Mathematical Programming","score":0.9771999716758728,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/linear-discriminant-analysis","display_name":"Linear discriminant analysis","score":0.7446362376213074},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.624415397644043},{"id":"https://openalex.org/keywords/discriminant","display_name":"Discriminant","score":0.6163909435272217},{"id":"https://openalex.org/keywords/flexibility","display_name":"Flexibility (engineering)","score":0.6094957590103149},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.6061665415763855},{"id":"https://openalex.org/keywords/support-vector-machine","display_name":"Support vector machine","score":0.5696321725845337},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.5479323267936707},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.5107989311218262},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4559025466442108},{"id":"https://openalex.org/keywords/covariance","display_name":"Covariance","score":0.4535265564918518},{"id":"https://openalex.org/keywords/goal-programming","display_name":"Goal programming","score":0.4207044243812561},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.419833779335022},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.29581958055496216},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.21588364243507385}],"concepts":[{"id":"https://openalex.org/C69738355","wikidata":"https://www.wikidata.org/wiki/Q1228929","display_name":"Linear discriminant analysis","level":2,"score":0.7446362376213074},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.624415397644043},{"id":"https://openalex.org/C78397625","wikidata":"https://www.wikidata.org/wiki/Q192487","display_name":"Discriminant","level":2,"score":0.6163909435272217},{"id":"https://openalex.org/C2780598303","wikidata":"https://www.wikidata.org/wiki/Q65921492","display_name":"Flexibility (engineering)","level":2,"score":0.6094957590103149},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.6061665415763855},{"id":"https://openalex.org/C12267149","wikidata":"https://www.wikidata.org/wiki/Q282453","display_name":"Support vector machine","level":2,"score":0.5696321725845337},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.5479323267936707},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.5107989311218262},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4559025466442108},{"id":"https://openalex.org/C178650346","wikidata":"https://www.wikidata.org/wiki/Q201984","display_name":"Covariance","level":2,"score":0.4535265564918518},{"id":"https://openalex.org/C61157135","wikidata":"https://www.wikidata.org/wiki/Q1345279","display_name":"Goal programming","level":2,"score":0.4207044243812561},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.419833779335022},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.29581958055496216},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.21588364243507385},{"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/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/2009/252989","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2009/252989","pdf_url":"https://downloads.hindawi.com/journals/aor/2009/252989.pdf","source":{"id":"https://openalex.org/S33782831","display_name":"Advances in Operations Research","issn_l":"1687-9147","issn":["1687-9147","1687-9155"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Operations Research","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:hin:jnlaor:252989","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/AOR/2009/252989.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:f4a3f1d2807649ceb8cac82031f4e87b","is_oa":true,"landing_page_url":"https://doaj.org/article/f4a3f1d2807649ceb8cac82031f4e87b","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","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":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Advances in Operations Research, Vol 2009 (2009)","raw_type":"article"},{"id":"pmh:oai:hindawi.com:10.1155/2009/252989","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2009/252989","pdf_url":null,"source":{"id":"https://openalex.org/S4306400340","display_name":"Hindawi Journal of Chemistry (Hindawi)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210126990","host_organization_name":"Hindawi (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210126990"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Research Article"}],"best_oa_location":{"id":"doi:10.1155/2009/252989","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2009/252989","pdf_url":"https://downloads.hindawi.com/journals/aor/2009/252989.pdf","source":{"id":"https://openalex.org/S33782831","display_name":"Advances in Operations Research","issn_l":"1687-9147","issn":["1687-9147","1687-9155"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Operations Research","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.6800000071525574,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2124986648.pdf","grobid_xml":"https://content.openalex.org/works/W2124986648.grobid-xml"},"referenced_works_count":24,"referenced_works":["https://openalex.org/W1973038348","https://openalex.org/W1986718110","https://openalex.org/W1992566056","https://openalex.org/W1995665109","https://openalex.org/W2001619934","https://openalex.org/W2009060718","https://openalex.org/W2014076886","https://openalex.org/W2038837829","https://openalex.org/W2051417292","https://openalex.org/W2052220115","https://openalex.org/W2062562644","https://openalex.org/W2063861553","https://openalex.org/W2064289670","https://openalex.org/W2066091600","https://openalex.org/W2080368331","https://openalex.org/W2088163353","https://openalex.org/W2093001822","https://openalex.org/W2112440119","https://openalex.org/W2124794514","https://openalex.org/W2127966242","https://openalex.org/W2134899173","https://openalex.org/W2147405090","https://openalex.org/W2151956988","https://openalex.org/W2156382728"],"related_works":["https://openalex.org/W2350751952","https://openalex.org/W2362114017","https://openalex.org/W1999647744","https://openalex.org/W3147024994","https://openalex.org/W1978302214","https://openalex.org/W2374055396","https://openalex.org/W2063246903","https://openalex.org/W2021817983","https://openalex.org/W3021047493","https://openalex.org/W2371177901"],"abstract_inverted_index":{"Discriminant":[0],"Analysis":[1],"(DA)":[2],"is":[3,76],"widely":[4],"applied":[5],"in":[6,45,82,101,141],"many":[7],"fields.":[8],"Some":[9],"recent":[10],"researches":[11],"raise":[12],"the":[13,29,55,67,86,126,146],"fact":[14],"that":[15],"standard":[16],"DA":[17,46],"assumptions,":[18],"such":[19],"as":[20],"a":[21,51,79],"normal":[22],"distribution":[23],"of":[24,28,58,69,73,88,113,135],"data":[25],"and":[26,47,91,97],"equality":[27],"variance-covariance":[30],"matrices,":[31],"are":[32,119],"not":[33],"always":[34],"satisfied.":[35],"A":[36],"Mathematical":[37],"Programming":[38],"approach":[39,62],"(MP)":[40],"has":[41],"been":[42],"frequently":[43],"used":[44,120],"can":[48],"be":[49,109,139],"considered":[50],"valuable":[52],"alternative":[53],"to":[54,77,111,121,144],"classical":[56],"models":[57],"DA.":[59],"The":[60,71,133],"MP":[61,93],"provides":[63],"more":[64],"flexibility":[65],"for":[66,150],"process":[68],"analysis.":[70],"aim":[72],"this":[74,136],"paper":[75],"address":[78],"comparative":[80],"study":[81,137],"which":[83],"we":[84],"analyze":[85],"performance":[87],"three":[89],"statistical":[90],"some":[92],"methods":[94,124],"using":[95],"linear":[96],"nonlinear":[98,114],"discriminant":[99,115],"functions":[100],"two-group":[102],"classification":[103,106],"problems.":[104],"New":[105],"procedures":[107],"will":[108,138],"adapted":[110],"context":[112],"functions.":[116],"Different":[117],"applications":[118],"compare":[122],"these":[123],"including":[125],"Support":[127],"Vector":[128],"Machines-":[129],"(SVMs-)":[130],"based":[131],"approach.":[132],"findings":[134],"useful":[140],"assisting":[142],"decision-makers":[143],"choose":[145],"most":[147],"appropriate":[148],"model":[149],"their":[151],"decision-making":[152],"situation.":[153]},"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}
