{"id":"https://openalex.org/W2170494826","doi":"https://doi.org/10.1142/s0218488502001387","title":"A THEORETICAL FRAMEWORK FOR POSSIBILISTIC INDEPENDENCE IN A WEAKLY ORDERED SETTING","display_name":"A THEORETICAL FRAMEWORK FOR POSSIBILISTIC INDEPENDENCE IN A WEAKLY ORDERED SETTING","publication_year":2002,"publication_date":"2002-04-01","ids":{"openalex":"https://openalex.org/W2170494826","doi":"https://doi.org/10.1142/s0218488502001387","mag":"2170494826"},"language":"en","primary_location":{"id":"doi:10.1142/s0218488502001387","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218488502001387","pdf_url":null,"source":{"id":"https://openalex.org/S69518169","display_name":"International Journal of Uncertainty Fuzziness and Knowledge-Based Systems","issn_l":"0218-4885","issn":["0218-4885","1793-6411"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Uncertainty, Fuzziness and Knowledge-Based 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/A5102967229","display_name":"Nahla Ben Amor","orcid":"https://orcid.org/0000-0002-8667-0798"},"institutions":[{"id":"https://openalex.org/I4210140729","display_name":"Institut Sup\u00e9rieur de Gestion de Tunis","ror":"https://ror.org/04w9mdw91","country_code":"TN","type":"education","lineage":["https://openalex.org/I108714496","https://openalex.org/I4210140729"]}],"countries":["TN"],"is_corresponding":false,"raw_author_name":"N. BEN AMOR","raw_affiliation_strings":["Institut Sup\u00e9rieur de Gestion de Tunis, Tunisia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut Sup\u00e9rieur de Gestion de Tunis, Tunisia","institution_ids":["https://openalex.org/I4210140729"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5105354064","display_name":"Khaled Mellouli","orcid":null},"institutions":[{"id":"https://openalex.org/I4210140729","display_name":"Institut Sup\u00e9rieur de Gestion de Tunis","ror":"https://ror.org/04w9mdw91","country_code":"TN","type":"education","lineage":["https://openalex.org/I108714496","https://openalex.org/I4210140729"]}],"countries":["TN"],"is_corresponding":false,"raw_author_name":"K. MELLOULI","raw_affiliation_strings":["Institut Sup\u00e9rieur de Gestion de Tunis, Tunisia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut Sup\u00e9rieur de Gestion de Tunis, Tunisia","institution_ids":["https://openalex.org/I4210140729"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089475466","display_name":"Salem Benferhat","orcid":"https://orcid.org/0000-0002-4853-3637"},"institutions":[{"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/I4210119061","https://openalex.org/I4210152422","https://openalex.org/I4405258862","https://openalex.org/I4405259414"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"S. BENFERHAT","raw_affiliation_strings":["Institut de Recherche en Informatique de  Toulouse, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut de Recherche en Informatique de  Toulouse, France","institution_ids":["https://openalex.org/I4210119061"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5105892130","display_name":"Damien Dubois","orcid":"https://orcid.org/0000-0001-8249-8700"},"institutions":[{"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/I4210119061","https://openalex.org/I4210152422","https://openalex.org/I4405258862","https://openalex.org/I4405259414"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"D. DUBOIS","raw_affiliation_strings":["Institut de Recherche en Informatique de  Toulouse, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut de Recherche en Informatique de  Toulouse, France","institution_ids":["https://openalex.org/I4210119061"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109067387","display_name":"Henri Prade","orcid":null},"institutions":[{"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/I4210119061","https://openalex.org/I4210152422","https://openalex.org/I4405258862","https://openalex.org/I4405259414"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"H. PRADE","raw_affiliation_strings":["Institut de Recherche en Informatique de  Toulouse, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut de Recherche en Informatique de  Toulouse, France","institution_ids":["https://openalex.org/I4210119061"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.945,"has_fulltext":false,"cited_by_count":42,"citation_normalized_percentile":{"value":0.86627635,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"10","issue":"02","first_page":"117","last_page":"155"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T11303","display_name":"Bayesian Modeling and Causal Inference","score":0.9987999796867371,"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"}},{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9934999942779541,"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/independence","display_name":"Independence (probability theory)","score":0.8371527194976807},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.4674347937107086},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.46413466334342957},{"id":"https://openalex.org/keywords/scale","display_name":"Scale (ratio)","score":0.4422930181026459},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.44072216749191284},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4136212468147278},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.09963122010231018},{"id":"https://openalex.org/keywords/geography","display_name":"Geography","score":0.08646950125694275},{"id":"https://openalex.org/keywords/political-science","display_name":"Political science","score":0.08218991756439209}],"concepts":[{"id":"https://openalex.org/C35651441","wikidata":"https://www.wikidata.org/wiki/Q625303","display_name":"Independence (probability theory)","level":2,"score":0.8371527194976807},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.4674347937107086},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46413466334342957},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.4422930181026459},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.44072216749191284},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4136212468147278},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.09963122010231018},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.08646950125694275},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.08218991756439209},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C58640448","wikidata":"https://www.wikidata.org/wiki/Q42515","display_name":"Cartography","level":1,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1142/s0218488502001387","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218488502001387","pdf_url":null,"source":{"id":"https://openalex.org/S69518169","display_name":"International Journal of Uncertainty Fuzziness and Knowledge-Based Systems","issn_l":"0218-4885","issn":["0218-4885","1793-6411"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-03299561v1","is_oa":false,"landing_page_url":"https://univ-artois.hal.science/hal-03299561","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":"https://www.worldscientific.com/doi/abs/10.1142/S0218488502001387","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:HAL:hal-03377599v1","is_oa":false,"landing_page_url":"https://hal.archives-ouvertes.fr/hal-03377599","pdf_url":null,"source":{"id":"https://openalex.org/S4377196329","display_name":"HAL Portal Artxiker (Hindustan Aeronautics Limited (India))","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210088939","host_organization_name":"Hindustan Aeronautics Limited (India)","host_organization_lineage":["https://openalex.org/I4210088939"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN: 0218-4885","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.8100000023841858,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":45,"referenced_works":["https://openalex.org/W3818333","https://openalex.org/W48425311","https://openalex.org/W60032993","https://openalex.org/W60850105","https://openalex.org/W96688143","https://openalex.org/W128812405","https://openalex.org/W428563990","https://openalex.org/W1495906182","https://openalex.org/W1543546766","https://openalex.org/W1593665664","https://openalex.org/W1600400933","https://openalex.org/W1606829490","https://openalex.org/W1847255535","https://openalex.org/W1853019757","https://openalex.org/W1867705861","https://openalex.org/W1973899684","https://openalex.org/W1974212563","https://openalex.org/W1981069805","https://openalex.org/W1983158126","https://openalex.org/W1985283069","https://openalex.org/W1990540332","https://openalex.org/W1992212603","https://openalex.org/W2004026289","https://openalex.org/W2018888220","https://openalex.org/W2019950953","https://openalex.org/W2037513498","https://openalex.org/W2046672266","https://openalex.org/W2085022454","https://openalex.org/W2090567803","https://openalex.org/W2120415414","https://openalex.org/W2128895148","https://openalex.org/W2156941838","https://openalex.org/W2157041604","https://openalex.org/W2159080219","https://openalex.org/W2171265988","https://openalex.org/W2175235637","https://openalex.org/W2335502549","https://openalex.org/W2401227505","https://openalex.org/W2523440281","https://openalex.org/W2598771954","https://openalex.org/W2615737084","https://openalex.org/W2953070196","https://openalex.org/W3185112963","https://openalex.org/W4230588984","https://openalex.org/W4234637764"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2911598644","https://openalex.org/W2042127053"],"abstract_inverted_index":{"The":[0,111,132],"notion":[1],"of":[2,32,42,63,69,76,79,96,114,120,123,158,169,183],"independence":[3,43,51,80,97,125,171,185],"is":[4,22,35,55,89],"central":[5],"in":[6,25,81,86,136],"many":[7],"information":[8],"processing":[9],"areas,":[10],"such":[11],"as":[12],"multiple":[13],"criteria":[14],"decision":[15],"making,":[16],"databases,":[17],"or":[18],"uncertain":[19],"reasoning.":[20],"This":[21,46,151],"especially":[23],"true":[24],"the":[26,30,39,64,74,115,118,121,128,140,148,159,167,170,187],"later":[27],"case,":[28],"where":[29],"success":[31],"Bayesian":[33],"networks":[34],"basically":[36],"due":[37],"to":[38,91,106,153],"graphical":[40],"representation":[41],"they":[44,146],"provide.":[45],"paper":[47,88,116],"first":[48],"studies":[49],"qualitative":[50,124],"relations":[52,126,165],"when":[53],"uncertainty":[54,82],"encoded":[56],"by":[57],"a":[58,67,93,176],"complete":[59],"pre-order":[60],"between":[61,142,179],"states":[62],"world.":[65],"While":[66],"lot":[68],"work":[70],"has":[71],"focused":[72],"on":[73,99,166],"formulation":[75],"suitable":[77],"definitions":[78,182],"theories":[83],"our":[84],"interest":[85],"this":[87,137],"rather":[90],"formulate":[92],"general":[94],"definition":[95],"based":[98],"purely":[100],"ordinal":[101],"considerations,":[102],"and":[103,186],"that":[104],"applies":[105],"all":[107],"weakly":[108],"ordered":[109],"settings.":[110],"second":[112],"part":[113],"investigates":[117],"impact":[119],"embedding":[122],"into":[127,162],"scale-based":[129],"possibility":[130],"theory.":[131],"absolute":[133],"scale":[134],"used":[135],"setting":[138],"enforces":[139],"commensurateness":[141],"local":[143],"pre-orders":[144],"(since":[145],"share":[147],"same":[149],"scale).":[150],"leads":[152],"an":[154],"easy":[155],"decomposability":[156],"property":[157],"joint":[160],"distributions":[161],"more":[163],"elementary":[164],"basis":[168],"relations.":[172],"Lastly":[173],"we":[174],"provide":[175],"comparative":[177],"study":[178],"already":[180],"known":[181],"possibilistic":[184],"ones":[188],"proposed":[189],"here.":[190]},"counts_by_year":[{"year":2023,"cited_by_count":3},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2016-06-24T00:00:00"}