{"id":"https://openalex.org/W2031688252","doi":"https://doi.org/10.1051/ro:1999124","title":"Dissimilarites de type spherique et positionnement multidimensionnel norm\u00e9","display_name":"Dissimilarites de type spherique et positionnement multidimensionnel norm\u00e9","publication_year":1999,"publication_date":"1999-10-01","ids":{"openalex":"https://openalex.org/W2031688252","doi":"https://doi.org/10.1051/ro:1999124","mag":"2031688252"},"language":"fr","primary_location":{"id":"doi:10.1051/ro:1999124","is_oa":false,"landing_page_url":"https://doi.org/10.1051/ro:1999124","pdf_url":null,"source":{"id":"https://openalex.org/S20631277","display_name":"RAIRO - Operations Research","issn_l":"0399-0559","issn":["0399-0559","1290-3868"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319748","host_organization_name":"EDP Sciences","host_organization_lineage":["https://openalex.org/P4310319748"],"host_organization_lineage_names":["EDP Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Operations Research","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://www.numdam.org/item/RO_1999__33_4_569_0.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5033617888","display_name":"Farid Beninel","orcid":null},"institutions":[{"id":"https://openalex.org/I32881790","display_name":"Universit\u00e9 de Poitiers","ror":"https://ror.org/04xhy8q59","country_code":"FR","type":"education","lineage":["https://openalex.org/I32881790"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Farid Beninel","raw_affiliation_strings":["IUT Departement STID, Centre d'Activites de Noron, Universit\u00e9 de Poitiers, 8 rue Archimede, 79000 Niort"],"affiliations":[{"raw_affiliation_string":"IUT Departement STID, Centre d'Activites de Noron, Universit\u00e9 de Poitiers, 8 rue Archimede, 79000 Niort","institution_ids":["https://openalex.org/I32881790"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5033617888"],"corresponding_institution_ids":["https://openalex.org/I32881790"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.19462001,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"33","issue":"4","first_page":"569","last_page":"581"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11596","display_name":"Constraint Satisfaction and Optimization","score":0.6385999917984009,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11596","display_name":"Constraint Satisfaction and Optimization","score":0.6385999917984009,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T14051","display_name":"Regional Economic and Spatial Analysis","score":0.6320000290870667,"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"}},{"id":"https://openalex.org/T11159","display_name":"Manufacturing Process and Optimization","score":0.6049000024795532,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing 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/multidimensional-scaling","display_name":"Multidimensional scaling","score":0.6714943051338196},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.59063321352005},{"id":"https://openalex.org/keywords/euclidean-geometry","display_name":"Euclidean geometry","score":0.5680409669876099},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.46873006224632263},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.4647734761238098},{"id":"https://openalex.org/keywords/scaling","display_name":"Scaling","score":0.4568430185317993},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.45635583996772766},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.39637047052383423},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3698185980319977},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.32382768392562866},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.16555318236351013},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.15886780619621277},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.11376401782035828}],"concepts":[{"id":"https://openalex.org/C91682802","wikidata":"https://www.wikidata.org/wiki/Q620538","display_name":"Multidimensional scaling","level":2,"score":0.6714943051338196},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.59063321352005},{"id":"https://openalex.org/C129782007","wikidata":"https://www.wikidata.org/wiki/Q162886","display_name":"Euclidean geometry","level":2,"score":0.5680409669876099},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.46873006224632263},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.4647734761238098},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.4568430185317993},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.45635583996772766},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.39637047052383423},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3698185980319977},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.32382768392562866},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.16555318236351013},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.15886780619621277},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.11376401782035828},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1051/ro:1999124","is_oa":false,"landing_page_url":"https://doi.org/10.1051/ro:1999124","pdf_url":null,"source":{"id":"https://openalex.org/S20631277","display_name":"RAIRO - Operations Research","issn_l":"0399-0559","issn":["0399-0559","1290-3868"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319748","host_organization_name":"EDP Sciences","host_organization_lineage":["https://openalex.org/P4310319748"],"host_organization_lineage_names":["EDP Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Operations Research","raw_type":"journal-article"},{"id":"pmh:oai:numdam.org:RO_1999__33_4_569_0","is_oa":true,"landing_page_url":"http://www.numdam.org/item/RO_1999__33_4_569_0/","pdf_url":"https://www.numdam.org/item/RO_1999__33_4_569_0.pdf","source":{"id":"https://openalex.org/S4306402264","display_name":"French digital mathematics library (Numdam)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I70900168","host_organization_name":"Universit\u00e9 Savoie Mont Blanc","host_organization_lineage":["https://openalex.org/I70900168"],"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":"Text"}],"best_oa_location":{"id":"pmh:oai:numdam.org:RO_1999__33_4_569_0","is_oa":true,"landing_page_url":"http://www.numdam.org/item/RO_1999__33_4_569_0/","pdf_url":"https://www.numdam.org/item/RO_1999__33_4_569_0.pdf","source":{"id":"https://openalex.org/S4306402264","display_name":"French digital mathematics library (Numdam)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I70900168","host_organization_name":"Universit\u00e9 Savoie Mont Blanc","host_organization_lineage":["https://openalex.org/I70900168"],"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":"Text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2031688252.pdf","grobid_xml":"https://content.openalex.org/works/W2031688252.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4200285273","https://openalex.org/W2374778813","https://openalex.org/W2012281976","https://openalex.org/W2371138613","https://openalex.org/W2494148009","https://openalex.org/W2064404759","https://openalex.org/W4238212629","https://openalex.org/W2003051771","https://openalex.org/W4245539973","https://openalex.org/W4241372895"],"abstract_inverted_index":{"Our":[0],"concern":[1],"here,":[2],"is":[3,16],"the":[4,28,40,48,60,72,79],"characterization":[5],"of":[6,32,35,50,57,63,75,81],"dissimilarity":[7,42],"indexes":[8],"defined":[9],"over":[10],"finite":[11],"sets,":[12],"whose":[13],"spatial":[14],"representation":[15,31],"spherical.":[17],"Consequently,":[18],"we":[19],"propose":[20],"a":[21,33,67],"methodology":[22,46],"(Normed":[23],"MultiDimensional":[24],"Scaling)":[25],"to":[26],"determine":[27],"spherical":[29,76],"euclidean":[30],"set":[34],"items":[36],"best":[37],"accounting":[38],"for":[39],"initial":[41],"between":[43],"items.":[44],"This":[45],"has":[47],"advantage":[49],"being":[51],"graphically":[52],"readable":[53],"on":[54],"individual":[55],"qualities":[56],"projection":[58],"like":[59],"normed":[61],"PCA,":[62],"which":[64,78],"it":[65,70],"constitutes":[66],"generalization.":[68],"Moreover,":[69],"avoids":[71],"arbitrary":[73],"character":[74],"encoding":[77],"use":[80],"similitude":[82],"functions":[83],"currently":[84],"used":[85],"in":[86],"MDS,":[87],"implies.":[88]},"counts_by_year":[],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}