{"id":"https://openalex.org/W2106745885","doi":"https://doi.org/10.1007/s40815-015-0033-4","title":"Solving Fuzzy Systems in Dual Form Using Wu\u2019s Method","display_name":"Solving Fuzzy Systems in Dual Form Using Wu\u2019s Method","publication_year":2015,"publication_date":"2015-05-02","ids":{"openalex":"https://openalex.org/W2106745885","doi":"https://doi.org/10.1007/s40815-015-0033-4","mag":"2106745885"},"language":"en","primary_location":{"id":"doi:10.1007/s40815-015-0033-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40815-015-0033-4","pdf_url":null,"source":{"id":"https://openalex.org/S18792341","display_name":"International Journal of Fuzzy Systems","issn_l":"1562-2479","issn":["1562-2479","2199-3211"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of 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/A5071647790","display_name":"Marziyeh Boroujeni","orcid":null},"institutions":[{"id":"https://openalex.org/I192805215","display_name":"Damghan University","ror":"https://ror.org/03v4m1x12","country_code":"IR","type":"education","lineage":["https://openalex.org/I192805215"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"Marziyeh Boroujeni","raw_affiliation_strings":["School of Mathematics and Computer Science, Damghan University, Damghan, Iran","Damghan University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Computer Science, Damghan University, Damghan, Iran","institution_ids":["https://openalex.org/I192805215"]},{"raw_affiliation_string":"Damghan University","institution_ids":["https://openalex.org/I192805215"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057245031","display_name":"Abdolali Basiri","orcid":"https://orcid.org/0000-0003-4454-4379"},"institutions":[{"id":"https://openalex.org/I192805215","display_name":"Damghan University","ror":"https://ror.org/03v4m1x12","country_code":"IR","type":"education","lineage":["https://openalex.org/I192805215"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Abdolali Basiri","raw_affiliation_strings":["School of Mathematics and Computer Science, Damghan University, Damghan, Iran","Damghan University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Computer Science, Damghan University, Damghan, Iran","institution_ids":["https://openalex.org/I192805215"]},{"raw_affiliation_string":"Damghan University","institution_ids":["https://openalex.org/I192805215"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050748107","display_name":"Sajjad Rahmany","orcid":"https://orcid.org/0000-0003-0022-8905"},"institutions":[{"id":"https://openalex.org/I192805215","display_name":"Damghan University","ror":"https://ror.org/03v4m1x12","country_code":"IR","type":"education","lineage":["https://openalex.org/I192805215"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Sajjad Rahmany","raw_affiliation_strings":["School of Mathematics and Computer Science, Damghan University, Damghan, Iran","Damghan University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Computer Science, Damghan University, Damghan, Iran","institution_ids":["https://openalex.org/I192805215"]},{"raw_affiliation_string":"Damghan University","institution_ids":["https://openalex.org/I192805215"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072064238","display_name":"Annick Valibouze","orcid":null},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I204730241","display_name":"Universit\u00e9 Paris Cit\u00e9","ror":"https://ror.org/05f82e368","country_code":"FR","type":"education","lineage":["https://openalex.org/I204730241"]},{"id":"https://openalex.org/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]},{"id":"https://openalex.org/I4210159731","display_name":"LIP6","ror":"https://ror.org/05krcen59","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I39804081","https://openalex.org/I4210159245","https://openalex.org/I4210159731"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Annick Valibouze","raw_affiliation_strings":["CNRS, UMR 7606, LIP6, 75005, Paris, France","Sorbonne Universit\u00e9s, UPMC Univ Paris 06, UMR 7606, LIP6 and LSTA, 75005, Paris, France","Sorbonne Universit\u00e9s, UPMC Univ Paris 06, UMR 7606, LIP6 and LSTA","CNRS, UMR 7606, LIP6"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CNRS, UMR 7606, LIP6, 75005, Paris, France","institution_ids":["https://openalex.org/I4210159731","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Sorbonne Universit\u00e9s, UPMC Univ Paris 06, UMR 7606, LIP6 and LSTA, 75005, Paris, France","institution_ids":["https://openalex.org/I204730241","https://openalex.org/I39804081","https://openalex.org/I4210159731"]},{"raw_affiliation_string":"Sorbonne Universit\u00e9s, UPMC Univ Paris 06, UMR 7606, LIP6 and LSTA","institution_ids":["https://openalex.org/I39804081","https://openalex.org/I204730241","https://openalex.org/I4210159731"]},{"raw_affiliation_string":"CNRS, UMR 7606, LIP6","institution_ids":["https://openalex.org/I4210159731"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5071647790"],"corresponding_institution_ids":["https://openalex.org/I192805215"],"apc_list":{"value":2690,"currency":"EUR","value_usd":3490},"apc_paid":null,"fwci":0.353,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.67190184,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"17","issue":"2","first_page":"170","last_page":"180"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9969000220298767,"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/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9969000220298767,"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9937999844551086,"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/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9854000210762024,"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/dual","display_name":"Dual (grammatical number)","score":0.6797828674316406},{"id":"https://openalex.org/keywords/computational-intelligence","display_name":"Computational intelligence","score":0.6695857644081116},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.6146248579025269},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.548648476600647},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5343387126922607},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5054144859313965},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.44329962134361267},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4194735586643219},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3875318765640259},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.34976696968078613},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3204239308834076},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.21083346009254456},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.14424240589141846},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.056823939085006714}],"concepts":[{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.6797828674316406},{"id":"https://openalex.org/C139502532","wikidata":"https://www.wikidata.org/wiki/Q1122090","display_name":"Computational intelligence","level":2,"score":0.6695857644081116},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.6146248579025269},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.548648476600647},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5343387126922607},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5054144859313965},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.44329962134361267},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4194735586643219},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3875318765640259},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.34976696968078613},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3204239308834076},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.21083346009254456},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.14424240589141846},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.056823939085006714},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0},{"id":"https://openalex.org/C124952713","wikidata":"https://www.wikidata.org/wiki/Q8242","display_name":"Literature","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s40815-015-0033-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40815-015-0033-4","pdf_url":null,"source":{"id":"https://openalex.org/S18792341","display_name":"International Journal of Fuzzy Systems","issn_l":"1562-2479","issn":["1562-2479","2199-3211"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Fuzzy Systems","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-01141203v1","is_oa":false,"landing_page_url":"https://hal.science/hal-01141203","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":"International Journal of Fuzzy Systems, 2015, 17 (3), pp.280-291. ⟨10.1007/s40815-015-0033-4⟩","raw_type":"Journal articles"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W13926841","https://openalex.org/W64656188","https://openalex.org/W92188869","https://openalex.org/W164169512","https://openalex.org/W201137195","https://openalex.org/W1518341038","https://openalex.org/W1542519396","https://openalex.org/W1577951736","https://openalex.org/W1922505179","https://openalex.org/W1967064749","https://openalex.org/W1974814084","https://openalex.org/W1994178762","https://openalex.org/W1999926626","https://openalex.org/W2011305075","https://openalex.org/W2024195715","https://openalex.org/W2039251794","https://openalex.org/W2049785322","https://openalex.org/W2052866061","https://openalex.org/W2065466432","https://openalex.org/W2084185516","https://openalex.org/W2086268401","https://openalex.org/W2090824499","https://openalex.org/W2097649661","https://openalex.org/W2116039853","https://openalex.org/W2138987942","https://openalex.org/W2150667997","https://openalex.org/W2213515269","https://openalex.org/W2289918335","https://openalex.org/W2319466955","https://openalex.org/W2523146704","https://openalex.org/W2912565176","https://openalex.org/W4211007335","https://openalex.org/W4247967149","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2736674626","https://openalex.org/W2973875853","https://openalex.org/W2317351040","https://openalex.org/W4285447065","https://openalex.org/W2393949104","https://openalex.org/W1988622314","https://openalex.org/W3046201198","https://openalex.org/W4293061921","https://openalex.org/W2952466936","https://openalex.org/W2807441102"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2026-05-07T13:39:58.223016","created_date":"2025-10-10T00:00:00"}