{"id":"https://openalex.org/W2948627764","doi":"https://doi.org/10.1109/tfuzz.2019.2920803","title":"On Elliptical Possibility Distributions","display_name":"On Elliptical Possibility Distributions","publication_year":2019,"publication_date":"2019-06-03","ids":{"openalex":"https://openalex.org/W2948627764","doi":"https://doi.org/10.1109/tfuzz.2019.2920803","mag":"2948627764"},"language":"en","primary_location":{"id":"doi:10.1109/tfuzz.2019.2920803","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tfuzz.2019.2920803","pdf_url":null,"source":{"id":"https://openalex.org/S134177497","display_name":"IEEE Transactions on Fuzzy Systems","issn_l":"1063-6706","issn":["1063-6706","1941-0034"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Fuzzy Systems","raw_type":"journal-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/A5084801657","display_name":"Charles Lesniewska-Choquet","orcid":"https://orcid.org/0000-0002-3163-911X"},"institutions":[{"id":"https://openalex.org/I4210108118","display_name":"Laboratoire d'Informatique, du Traitement de l'Information et des Syst\u00e8mes","ror":"https://ror.org/01f1vfy95","country_code":"FR","type":"facility","lineage":["https://openalex.org/I141576021","https://openalex.org/I4210105918","https://openalex.org/I4210105918","https://openalex.org/I4210105918","https://openalex.org/I4210108118","https://openalex.org/I62396329","https://openalex.org/I88814501"]},{"id":"https://openalex.org/I70900168","display_name":"Universit\u00e9 Savoie Mont Blanc","ror":"https://ror.org/04gqg1a07","country_code":"FR","type":"education","lineage":["https://openalex.org/I70900168"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Charles Lesniewska-Choquet","raw_affiliation_strings":["Computer Science, Systems, Information and Knowledge Processing Laboratory, Savoie Mont Blanc University, Annecy, France","Laboratoire d'Informatique, Syst\u00e8mes, Traitement de l'Information et de la Connaissance"],"raw_orcid":"https://orcid.org/0000-0002-3163-911X","affiliations":[{"raw_affiliation_string":"Computer Science, Systems, Information and Knowledge Processing Laboratory, Savoie Mont Blanc University, Annecy, France","institution_ids":["https://openalex.org/I70900168"]},{"raw_affiliation_string":"Laboratoire d'Informatique, Syst\u00e8mes, Traitement de l'Information et de la Connaissance","institution_ids":["https://openalex.org/I4210108118"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025192685","display_name":"Gilles Mauris","orcid":null},"institutions":[{"id":"https://openalex.org/I4210108118","display_name":"Laboratoire d'Informatique, du Traitement de l'Information et des Syst\u00e8mes","ror":"https://ror.org/01f1vfy95","country_code":"FR","type":"facility","lineage":["https://openalex.org/I141576021","https://openalex.org/I4210105918","https://openalex.org/I4210105918","https://openalex.org/I4210105918","https://openalex.org/I4210108118","https://openalex.org/I62396329","https://openalex.org/I88814501"]},{"id":"https://openalex.org/I70900168","display_name":"Universit\u00e9 Savoie Mont Blanc","ror":"https://ror.org/04gqg1a07","country_code":"FR","type":"education","lineage":["https://openalex.org/I70900168"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Gilles Mauris","raw_affiliation_strings":["Computer Science, Systems, Information and Knowledge Processing Laboratory, Savoie Mont Blanc University, Annecy, France","Laboratoire d'Informatique, Syst\u00e8mes, Traitement de l'Information et de la Connaissance"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Science, Systems, Information and Knowledge Processing Laboratory, Savoie Mont Blanc University, Annecy, France","institution_ids":["https://openalex.org/I70900168"]},{"raw_affiliation_string":"Laboratoire d'Informatique, Syst\u00e8mes, Traitement de l'Information et de la Connaissance","institution_ids":["https://openalex.org/I4210108118"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040760837","display_name":"Abdourrahmane M. Atto","orcid":"https://orcid.org/0000-0003-1753-4917"},"institutions":[{"id":"https://openalex.org/I4210108118","display_name":"Laboratoire d'Informatique, du Traitement de l'Information et des Syst\u00e8mes","ror":"https://ror.org/01f1vfy95","country_code":"FR","type":"facility","lineage":["https://openalex.org/I141576021","https://openalex.org/I4210105918","https://openalex.org/I4210105918","https://openalex.org/I4210105918","https://openalex.org/I4210108118","https://openalex.org/I62396329","https://openalex.org/I88814501"]},{"id":"https://openalex.org/I70900168","display_name":"Universit\u00e9 Savoie Mont Blanc","ror":"https://ror.org/04gqg1a07","country_code":"FR","type":"education","lineage":["https://openalex.org/I70900168"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Abdourrahmane M. Atto","raw_affiliation_strings":["Computer Science, Systems, Information and Knowledge Processing Laboratory, Savoie Mont Blanc University, Annecy, France","Laboratoire d'Informatique, Syst\u00e8mes, Traitement de l'Information et de la Connaissance"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Science, Systems, Information and Knowledge Processing Laboratory, Savoie Mont Blanc University, Annecy, France","institution_ids":["https://openalex.org/I70900168"]},{"raw_affiliation_string":"Laboratoire d'Informatique, Syst\u00e8mes, Traitement de l'Information et de la Connaissance","institution_ids":["https://openalex.org/I4210108118"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101721555","display_name":"Gr\u00e9goire Mercier","orcid":"https://orcid.org/0000-0002-0619-9503"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Gregoire Mercier","raw_affiliation_strings":["eXo maKina, Digital Technologies, Paris, France","Lab-STICC_TB_CID_TOMS"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"eXo maKina, Digital Technologies, Paris, France","institution_ids":[]},{"raw_affiliation_string":"Lab-STICC_TB_CID_TOMS","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.2262,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.54751594,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"28","issue":"8","first_page":"1631","last_page":"1639"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11871","display_name":"Advanced Statistical Methods and Models","score":0.9991000294685364,"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":0.9991000294685364,"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/T10689","display_name":"Remote-Sensing Image Classification","score":0.965399980545044,"subfield":{"id":"https://openalex.org/subfields/2214","display_name":"Media Technology"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12261","display_name":"Statistical Mechanics and Entropy","score":0.9596999883651733,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/divergence","display_name":"Divergence (linguistics)","score":0.851901650428772},{"id":"https://openalex.org/keywords/probability-distribution","display_name":"Probability distribution","score":0.6078597903251648},{"id":"https://openalex.org/keywords/multivariate-statistics","display_name":"Multivariate statistics","score":0.6035537719726562},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5990575551986694},{"id":"https://openalex.org/keywords/hellinger-distance","display_name":"Hellinger distance","score":0.5475134253501892},{"id":"https://openalex.org/keywords/kullback\u2013leibler-divergence","display_name":"Kullback\u2013Leibler divergence","score":0.5290467143058777},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.47708043456077576},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.47086870670318604},{"id":"https://openalex.org/keywords/multivariate-normal-distribution","display_name":"Multivariate normal distribution","score":0.4681781828403473},{"id":"https://openalex.org/keywords/possibility-theory","display_name":"Possibility theory","score":0.43819957971572876},{"id":"https://openalex.org/keywords/elliptical-distribution","display_name":"Elliptical distribution","score":0.4167150557041168},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.37194228172302246},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.21647202968597412},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.19647443294525146},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.15448594093322754},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.13820350170135498}],"concepts":[{"id":"https://openalex.org/C207390915","wikidata":"https://www.wikidata.org/wiki/Q1230525","display_name":"Divergence (linguistics)","level":2,"score":0.851901650428772},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.6078597903251648},{"id":"https://openalex.org/C161584116","wikidata":"https://www.wikidata.org/wiki/Q1952580","display_name":"Multivariate statistics","level":2,"score":0.6035537719726562},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5990575551986694},{"id":"https://openalex.org/C153024298","wikidata":"https://www.wikidata.org/wiki/Q3030678","display_name":"Hellinger distance","level":2,"score":0.5475134253501892},{"id":"https://openalex.org/C171752962","wikidata":"https://www.wikidata.org/wiki/Q255166","display_name":"Kullback\u2013Leibler divergence","level":2,"score":0.5290467143058777},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.47708043456077576},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.47086870670318604},{"id":"https://openalex.org/C177384507","wikidata":"https://www.wikidata.org/wiki/Q1149000","display_name":"Multivariate normal distribution","level":3,"score":0.4681781828403473},{"id":"https://openalex.org/C137912672","wikidata":"https://www.wikidata.org/wiki/Q1967096","display_name":"Possibility theory","level":4,"score":0.43819957971572876},{"id":"https://openalex.org/C130545031","wikidata":"https://www.wikidata.org/wiki/Q5365806","display_name":"Elliptical distribution","level":4,"score":0.4167150557041168},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.37194228172302246},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.21647202968597412},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.19647443294525146},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.15448594093322754},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13820350170135498},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tfuzz.2019.2920803","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tfuzz.2019.2920803","pdf_url":null,"source":{"id":"https://openalex.org/S134177497","display_name":"IEEE Transactions on Fuzzy Systems","issn_l":"1063-6706","issn":["1063-6706","1941-0034"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Fuzzy Systems","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-02149345v1","is_oa":false,"landing_page_url":"https://hal.science/hal-02149345","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Transactions on Fuzzy Systems, 2020, 28 (8), pp.1631-1639. &#x27E8;10.1109/TFUZZ.2019.2920803&#x27E9;","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:HAL:hal-02922401v1","is_oa":false,"landing_page_url":"https://hal.archives-ouvertes.fr/hal-02922401","pdf_url":null,"source":{"id":"https://openalex.org/S4406922276","display_name":"INRIA a CCSD electronic archive server","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":"ISSN: 1063-6706","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.5699999928474426,"display_name":"Reduced inequalities"}],"awards":[{"id":"https://openalex.org/G1476586298","display_name":"PARSIMONY, HUGE OBSERVATIONS OF EARTH NON-STATIONARITIES FROM IMAGES TIME SERIES","funder_award_id":"ANR-15-CE23-0012","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"}],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W29940809","https://openalex.org/W603636824","https://openalex.org/W908164891","https://openalex.org/W1524698129","https://openalex.org/W1540478229","https://openalex.org/W1604544843","https://openalex.org/W1965555277","https://openalex.org/W1970605623","https://openalex.org/W1983104971","https://openalex.org/W2009017316","https://openalex.org/W2010067099","https://openalex.org/W2013654685","https://openalex.org/W2016130389","https://openalex.org/W2042303010","https://openalex.org/W2047118428","https://openalex.org/W2052448901","https://openalex.org/W2084175175","https://openalex.org/W2091877000","https://openalex.org/W2122861691","https://openalex.org/W2124409483","https://openalex.org/W2155653793","https://openalex.org/W2611722358","https://openalex.org/W2767443199","https://openalex.org/W2793143233","https://openalex.org/W2896365540","https://openalex.org/W4302324459","https://openalex.org/W4388317804"],"related_works":["https://openalex.org/W4200172789","https://openalex.org/W2056815054","https://openalex.org/W2745717726","https://openalex.org/W3080201650","https://openalex.org/W2963715180","https://openalex.org/W2207306351","https://openalex.org/W147225601","https://openalex.org/W4390446682","https://openalex.org/W4287753573","https://openalex.org/W2142219299"],"abstract_inverted_index":{"This":[0],"paper":[1,58,126],"aims":[2],"to":[3,85,110],"propose":[4],"two":[5,63,122],"main":[6],"contributions":[7],"in":[8,121,135],"the":[9,16,23,45,60,76,86,97,102,111,116,131],"field":[10],"of":[11,25,29,47,62,75,88,96,101,130,138],"multivariate":[12,30,118],"data":[13],"analysis":[14],"through":[15],"possibility":[17,32,89,107,119],"theory.":[18],"The":[19,52],"first":[20],"proposition":[21],"is":[22,59],"definition":[24,61],"a":[26,40,72],"generalized":[27],"family":[28,46,113],"elliptical":[31,49,112],"distributions.":[33,51,68,90],"These":[34],"distributions":[35,108],"have":[36],"been":[37],"derived":[38],"from":[39],"consistent":[41],"probability-possibility":[42],"transformation":[43],"over":[44],"so-called":[48],"probability":[50],"second":[53],"contribution":[54],"proposed":[55],"by":[56],"this":[57,125],"divergence":[64,78,81,99,104,120],"measures":[65],"between":[66,142],"possibilistic":[67,133],"We":[69,91],"prove":[70],"that":[71],"symmetric":[73],"version":[74],"Kullback-Leibler":[77],"guarantees":[79],"all":[80],"properties":[82],"when":[83],"related":[84],"space":[87],"further":[92],"derive":[93],"analytical":[94],"expressions":[95],"latter":[98],"and":[100],"Hellinger":[103],"for":[105],"certain":[106],"pertaining":[109],"proposed,":[114],"especially":[115],"normal":[117],"dimensions.":[123],"Finally,":[124],"provides":[127],"an":[128,136],"illustration":[129],"developed":[132],"tools":[134],"application":[137],"bi-band":[139],"change":[140],"detection":[141],"optical":[143],"satellite":[144],"images.":[145]},"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2020,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2019-06-14T00:00:00"}
