{"id":"https://openalex.org/W1998098860","doi":"https://doi.org/10.1109/fuzz-ieee.2013.6622331","title":"A relational division based on a fuzzy bipolar R-implication operator","display_name":"A relational division based on a fuzzy bipolar R-implication operator","publication_year":2013,"publication_date":"2013-07-01","ids":{"openalex":"https://openalex.org/W1998098860","doi":"https://doi.org/10.1109/fuzz-ieee.2013.6622331","mag":"1998098860"},"language":"en","primary_location":{"id":"doi:10.1109/fuzz-ieee.2013.6622331","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzz-ieee.2013.6622331","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 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/A5000750987","display_name":"Nouredine Tamani","orcid":"https://orcid.org/0000-0001-9447-4159"},"institutions":[{"id":"https://openalex.org/I24906876","display_name":"Institut Agro Montpellier","ror":"https://ror.org/03rnk6m14","country_code":"FR","type":"education","lineage":["https://openalex.org/I24906876","https://openalex.org/I4210117091","https://openalex.org/I4399657933"]},{"id":"https://openalex.org/I4210088087","display_name":"Ing\u00e9nierie des Agropolym\u00e8res et Technologies Emergentes","ror":"https://ror.org/0000n5x09","country_code":"FR","type":"facility","lineage":["https://openalex.org/I19894307","https://openalex.org/I24906876","https://openalex.org/I4210088087","https://openalex.org/I4210088668","https://openalex.org/I4210117091","https://openalex.org/I4399657933"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Nouredine Tamani","raw_affiliation_strings":["UMR IATE, INRA-SUPAGRO, Montpellier, France","UMR IATE/INRA-SUPAGRO, Montpellier, France"],"affiliations":[{"raw_affiliation_string":"UMR IATE, INRA-SUPAGRO, Montpellier, France","institution_ids":["https://openalex.org/I4210088087"]},{"raw_affiliation_string":"UMR IATE/INRA-SUPAGRO, Montpellier, France","institution_ids":["https://openalex.org/I24906876","https://openalex.org/I4210088087"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062076390","display_name":"Ludovic Li\u00e9tard","orcid":null},"institutions":[{"id":"https://openalex.org/I2802519937","display_name":"Institut de Recherche en Informatique et Syst\u00e8mes Al\u00e9atoires","ror":"https://ror.org/00myn0z94","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I205703379","https://openalex.org/I2802204017","https://openalex.org/I2802519937","https://openalex.org/I28221208","https://openalex.org/I4210127572","https://openalex.org/I4210159245","https://openalex.org/I56067802"]},{"id":"https://openalex.org/I56067802","display_name":"Universit\u00e9 de Rennes","ror":"https://ror.org/015m7wh34","country_code":"FR","type":"education","lineage":["https://openalex.org/I56067802"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Ludovic Lietard","raw_affiliation_strings":["IRISA, IUT, University of Rennes, Lannion, France","IRISA/IUT, Univ. Rennes 1, Lannion, France"],"affiliations":[{"raw_affiliation_string":"IRISA, IUT, University of Rennes, Lannion, France","institution_ids":["https://openalex.org/I2802519937"]},{"raw_affiliation_string":"IRISA/IUT, Univ. Rennes 1, Lannion, France","institution_ids":["https://openalex.org/I56067802"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5043064964","display_name":"Daniel Rocacher","orcid":null},"institutions":[{"id":"https://openalex.org/I2802519937","display_name":"Institut de Recherche en Informatique et Syst\u00e8mes Al\u00e9atoires","ror":"https://ror.org/00myn0z94","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I205703379","https://openalex.org/I2802204017","https://openalex.org/I2802519937","https://openalex.org/I28221208","https://openalex.org/I4210127572","https://openalex.org/I4210159245","https://openalex.org/I56067802"]},{"id":"https://openalex.org/I56067802","display_name":"Universit\u00e9 de Rennes","ror":"https://ror.org/015m7wh34","country_code":"FR","type":"education","lineage":["https://openalex.org/I56067802"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Daniel Rocacher","raw_affiliation_strings":["IRISA, ENSSAT, University of Rennes, Lannion, France","Irisa, ENSSAT, Univ. Rennes 1, Lannion, France#TAB#"],"affiliations":[{"raw_affiliation_string":"IRISA, ENSSAT, University of Rennes, Lannion, France","institution_ids":["https://openalex.org/I2802519937"]},{"raw_affiliation_string":"Irisa, ENSSAT, Univ. Rennes 1, Lannion, France#TAB#","institution_ids":["https://openalex.org/I56067802"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5000750987"],"corresponding_institution_ids":["https://openalex.org/I24906876","https://openalex.org/I4210088087"],"apc_list":null,"apc_paid":null,"fwci":0.3192,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.55241888,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"5822","issue":null,"first_page":"1","last_page":"7"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11106","display_name":"Data Management and Algorithms","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T11106","display_name":"Data Management and Algorithms","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T10317","display_name":"Advanced Database Systems and Queries","score":0.9951000213623047,"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/T10215","display_name":"Semantic Web and Ontologies","score":0.9926999807357788,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/division","display_name":"Division (mathematics)","score":0.7162436246871948},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5960896611213684},{"id":"https://openalex.org/keywords/quotient","display_name":"Quotient","score":0.5409420728683472},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.51270592212677},{"id":"https://openalex.org/keywords/relational-algebra","display_name":"Relational algebra","score":0.5119291543960571},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.45690739154815674},{"id":"https://openalex.org/keywords/relational-model","display_name":"Relational model","score":0.4453252851963043},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4321024715900421},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.42413291335105896},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3819500803947449},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.309529572725296},{"id":"https://openalex.org/keywords/relational-database","display_name":"Relational database","score":0.2881205677986145},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.2447042465209961},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.23500242829322815},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.22447770833969116}],"concepts":[{"id":"https://openalex.org/C60798267","wikidata":"https://www.wikidata.org/wiki/Q1226939","display_name":"Division (mathematics)","level":2,"score":0.7162436246871948},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5960896611213684},{"id":"https://openalex.org/C199422724","wikidata":"https://www.wikidata.org/wiki/Q41118","display_name":"Quotient","level":2,"score":0.5409420728683472},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.51270592212677},{"id":"https://openalex.org/C95916125","wikidata":"https://www.wikidata.org/wiki/Q840540","display_name":"Relational algebra","level":3,"score":0.5119291543960571},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45690739154815674},{"id":"https://openalex.org/C40207289","wikidata":"https://www.wikidata.org/wiki/Q755662","display_name":"Relational model","level":3,"score":0.4453252851963043},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4321024715900421},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.42413291335105896},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3819500803947449},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.309529572725296},{"id":"https://openalex.org/C5655090","wikidata":"https://www.wikidata.org/wiki/Q192588","display_name":"Relational database","level":2,"score":0.2881205677986145},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.2447042465209961},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.23500242829322815},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.22447770833969116},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"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/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/fuzz-ieee.2013.6622331","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzz-ieee.2013.6622331","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)","raw_type":"proceedings-article"},{"id":"pmh:oai:HAL:hal-02747078v1","is_oa":false,"landing_page_url":"https://hal.inrae.fr/hal-02747078","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":"IEEE International Conference on Fuzzy Systems 2013 (FUZZ-IEEE 2013), Jul 2013, Hyderabad, India. pp.7, &#x27E8;10.1109/FUZZ-IEEE.2013.6622331&#x27E9;","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":31,"referenced_works":["https://openalex.org/W75983587","https://openalex.org/W84429928","https://openalex.org/W87106450","https://openalex.org/W114416537","https://openalex.org/W140270064","https://openalex.org/W160510422","https://openalex.org/W1484698785","https://openalex.org/W1517081887","https://openalex.org/W1526092917","https://openalex.org/W1990738600","https://openalex.org/W1994286702","https://openalex.org/W2009200737","https://openalex.org/W2020390140","https://openalex.org/W2068992330","https://openalex.org/W2094404935","https://openalex.org/W2103695923","https://openalex.org/W2115522570","https://openalex.org/W2120131014","https://openalex.org/W2123474039","https://openalex.org/W2142089378","https://openalex.org/W2149650654","https://openalex.org/W2165182301","https://openalex.org/W2168554800","https://openalex.org/W2503485006","https://openalex.org/W2912565176","https://openalex.org/W4211007335","https://openalex.org/W4252985010","https://openalex.org/W4285719527","https://openalex.org/W4298317031","https://openalex.org/W6628823688","https://openalex.org/W6843984979"],"related_works":["https://openalex.org/W2105011602","https://openalex.org/W2085988990","https://openalex.org/W2506252583","https://openalex.org/W4238090084","https://openalex.org/W2089781037","https://openalex.org/W2386753737","https://openalex.org/W2056340443","https://openalex.org/W1516375613","https://openalex.org/W2005835473","https://openalex.org/W4220666469"],"abstract_inverted_index":{"We":[0,73],"introduce":[1],"in":[2,98,107],"this":[3],"paper":[4],"a":[5,12,53],"new":[6,46,112],"relational":[7,80,129],"division":[8,47,54,81,109],"operator":[9,15,48,82,97,114],"based":[10,102],"on":[11,103],"bipolar":[13,18,27,56,85,122],"implication":[14],"involving":[16],"fuzzy":[17],"relations.":[19],"The":[20,111],"considered":[21],"bipolarity":[22],"encompasses":[23],"two":[24],"kinds":[25],"of":[26,32,41,55,59,62,128],"conditions:":[28],"the":[29,38,60,63,66,78,84,94,104,108,121],"former":[30],"is":[31,40,101,115],"type":[33,42],"\u201cand":[34],"if":[35],"possible\u201d,":[36],"and":[37,65,88],"latter":[39],"\u201cor":[43],"else\u201d.":[44],"This":[45],"allows":[49],"as":[50],"to":[51,93,117],"express":[52],"relations":[57],"regardless":[58],"nature":[61],"dividend":[64],"divisor":[67],"(Boolean,":[68],"fuzzy,":[69],"bipolar,":[70],"homogeneous,":[71],"heterogeneous).":[72],"have":[74],"also":[75],"shown":[76],"that":[77],"proposed":[79,96,113],"satisfies":[83],"quotient":[86],"properties":[87],"can":[89],"be":[90,118],"an":[91],"alternative":[92],"already":[95],"[1]-[3]":[99],"which":[100],"quantities":[105],"involved":[106],"operation.":[110],"aimed":[116],"integrated":[119],"into":[120],"SQLf":[123],"language":[124],"for":[125],"flexible":[126],"querying":[127],"databases.":[130]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
