{"id":"https://openalex.org/W1979062686","doi":"https://doi.org/10.1109/fuzzy.2009.5277164","title":"A new kind of fuzzy relation equations","display_name":"A new kind of fuzzy relation equations","publication_year":2009,"publication_date":"2009-08-01","ids":{"openalex":"https://openalex.org/W1979062686","doi":"https://doi.org/10.1109/fuzzy.2009.5277164","mag":"1979062686"},"language":"en","primary_location":{"id":"doi:10.1109/fuzzy.2009.5277164","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzzy.2009.5277164","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 IEEE International Conference on Fuzzy Systems","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/A5101452765","display_name":"Feng Qin","orcid":"https://orcid.org/0000-0001-9163-0021"},"institutions":[{"id":"https://openalex.org/I53592917","display_name":"Jiangxi Normal University","ror":"https://ror.org/05nkgk822","country_code":"CN","type":"education","lineage":["https://openalex.org/I53592917"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Feng Qin","raw_affiliation_strings":["College of Mathematics and Information Science, Jiangxi Normal University, Nanchang, China","College of Mathematics and Information Science, JiangXi Normal University, Nanchang, P. R. China"],"affiliations":[{"raw_affiliation_string":"College of Mathematics and Information Science, Jiangxi Normal University, Nanchang, China","institution_ids":["https://openalex.org/I53592917"]},{"raw_affiliation_string":"College of Mathematics and Information Science, JiangXi Normal University, Nanchang, P. R. China","institution_ids":["https://openalex.org/I53592917"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5010462019","display_name":"Ping Fang","orcid":"https://orcid.org/0000-0003-0037-0522"},"institutions":[{"id":"https://openalex.org/I101479585","display_name":"South China Agricultural University","ror":"https://ror.org/05v9jqt67","country_code":"CN","type":"education","lineage":["https://openalex.org/I101479585"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ping Fang","raw_affiliation_strings":["College of Sciences, South China Agricultural University, Guangzhou, China","College of Sciences, South China Agricultural University, Guangzhou, P. R. China"],"affiliations":[{"raw_affiliation_string":"College of Sciences, South China Agricultural University, Guangzhou, China","institution_ids":["https://openalex.org/I101479585"]},{"raw_affiliation_string":"College of Sciences, South China Agricultural University, Guangzhou, P. R. China","institution_ids":["https://openalex.org/I101479585"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5101452765"],"corresponding_institution_ids":["https://openalex.org/I53592917"],"apc_list":null,"apc_paid":null,"fwci":0.8724,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.78892946,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"19","issue":null,"first_page":"555","last_page":"559"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9940999746322632,"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"}},"topics":[{"id":"https://openalex.org/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9940999746322632,"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/T10400","display_name":"Network Security and Intrusion Detection","score":0.9682000279426575,"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/T14011","display_name":"Elevator Systems and Control","score":0.9014000296592712,"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/dimension","display_name":"Dimension (graph theory)","score":0.6742595434188843},{"id":"https://openalex.org/keywords/relation","display_name":"Relation (database)","score":0.6282142996788025},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.621904730796814},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4739682376384735},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4602270722389221},{"id":"https://openalex.org/keywords/construct","display_name":"Construct (python library)","score":0.4490172266960144},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.4471396505832672},{"id":"https://openalex.org/keywords/column","display_name":"Column (typography)","score":0.42565372586250305},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4170651137828827},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3433522880077362},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3281155824661255},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.27582964301109314},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2530372738838196},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.17554831504821777},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.0883236825466156}],"concepts":[{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.6742595434188843},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.6282142996788025},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.621904730796814},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4739682376384735},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4602270722389221},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.4490172266960144},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.4471396505832672},{"id":"https://openalex.org/C2780551164","wikidata":"https://www.wikidata.org/wiki/Q2306599","display_name":"Column (typography)","level":3,"score":0.42565372586250305},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4170651137828827},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3433522880077362},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3281155824661255},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.27582964301109314},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2530372738838196},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.17554831504821777},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0883236825466156},{"id":"https://openalex.org/C126042441","wikidata":"https://www.wikidata.org/wiki/Q1324888","display_name":"Frame (networking)","level":2,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/fuzzy.2009.5277164","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzzy.2009.5277164","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 IEEE International Conference on Fuzzy Systems","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W127405698","https://openalex.org/W1553483187","https://openalex.org/W1588607548","https://openalex.org/W1634574981","https://openalex.org/W1968661412","https://openalex.org/W1976430007","https://openalex.org/W1986302899","https://openalex.org/W1991475392","https://openalex.org/W2019142394","https://openalex.org/W2043380099","https://openalex.org/W2060878354","https://openalex.org/W2075090033","https://openalex.org/W2075196167","https://openalex.org/W2114065574","https://openalex.org/W2153462814","https://openalex.org/W2394937300","https://openalex.org/W4234672050","https://openalex.org/W6880146364"],"related_works":["https://openalex.org/W2366107444","https://openalex.org/W4388145910","https://openalex.org/W2381570729","https://openalex.org/W1976205134","https://openalex.org/W4248336175","https://openalex.org/W2031260042","https://openalex.org/W2391445434","https://openalex.org/W3009369890","https://openalex.org/W4312490297","https://openalex.org/W2062212388"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"a":[3],"new":[4],"kind":[5],"of":[6,33],"fuzzy":[7],"relation":[8],"equations":[9],"(FREs":[10],"for":[11],"short)":[12],"A":[13,42],"<sub":[14],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[15,18,21],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">0</sub>":[16],"<sup":[17,20],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">R</sup>":[19],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">*</sup>":[22],"x":[23,47],"=":[24],"b":[25,49],"is":[26,39,43,81,84],"first":[27],"introduced,":[28],"and":[29,48,53,64,72],"then":[30],"the":[31,37,69,77,87,91],"problem":[32],"solving":[34],"solution":[35,79],"to":[36,89],"FREs":[38],"discussed,":[40],"where":[41],"an":[44,51,54],"mtimesn":[45],"matrix,":[46],"are":[50,67,75],"n":[52],"m":[55],"dimension":[56],"column":[57],"vectors,":[58],"respectively.":[59],"More":[60],"specifically,":[61],"its":[62],"solvability":[63,66],"unique":[65],"investigated,":[68],"corresponding":[70],"necessary":[71],"sufficient":[73],"conditions":[74],"presented,":[76],"complete":[78,92],"set":[80],"obtained.":[82],"It":[83],"worth":[85],"noting":[86],"method":[88],"construct":[90],"solutions":[93],"set.":[94]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}