{"id":"https://openalex.org/W2065461825","doi":"https://doi.org/10.1142/s0218488513500037","title":"A FUZZY DATA ENVELOPMENT ANALYSIS FOR CLUSTERING OPERATING UNITS WITH IMPRECISE DATA","display_name":"A FUZZY DATA ENVELOPMENT ANALYSIS FOR CLUSTERING OPERATING UNITS WITH IMPRECISE DATA","publication_year":2013,"publication_date":"2013-02-01","ids":{"openalex":"https://openalex.org/W2065461825","doi":"https://doi.org/10.1142/s0218488513500037","mag":"2065461825"},"language":"en","primary_location":{"id":"doi:10.1142/s0218488513500037","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218488513500037","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/A5011659647","display_name":"Saber Saati","orcid":"https://orcid.org/0000-0003-0636-1192"},"institutions":[{"id":"https://openalex.org/I110525433","display_name":"Islamic Azad University, Tehran","ror":"https://ror.org/01kzn7k21","country_code":"IR","type":"education","lineage":["https://openalex.org/I110525433"]},{"id":"https://openalex.org/I183067279","display_name":"Islamic Azad University North Tehran Branch","ror":"https://ror.org/00sb1nr29","country_code":"IR","type":"education","lineage":["https://openalex.org/I110525433","https://openalex.org/I183067279"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"SABER SAATI","raw_affiliation_strings":["Department of Mathematics, Tehran-North Branch, Islamic Azad University P.O. Box 19585-936, Tehran, Iran","Department of Mathematics, Tehran-North Branch, Islamic Azad University, P.O. Box 19585-936, Tehran, Iran#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Tehran-North Branch, Islamic Azad University P.O. Box 19585-936, Tehran, Iran","institution_ids":["https://openalex.org/I183067279"]},{"raw_affiliation_string":"Department of Mathematics, Tehran-North Branch, Islamic Azad University, P.O. Box 19585-936, Tehran, Iran#TAB#","institution_ids":["https://openalex.org/I110525433"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020863327","display_name":"Adel Hatami\u2010Marbini","orcid":"https://orcid.org/0000-0002-7956-687X"},"institutions":[{"id":"https://openalex.org/I95674353","display_name":"UCLouvain","ror":"https://ror.org/02495e989","country_code":"BE","type":"education","lineage":["https://openalex.org/I95674353"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"ADEL HATAMI-MARBINI","raw_affiliation_strings":["Louvain School of Management, Center of Operations Research and Econometrics (CORE), Universit\u00e9 Catholique de Louvain, L1.03.01, B-1348 Louvain-la-Neuve, Belgium"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Louvain School of Management, Center of Operations Research and Econometrics (CORE), Universit\u00e9 Catholique de Louvain, L1.03.01, B-1348 Louvain-la-Neuve, Belgium","institution_ids":["https://openalex.org/I95674353"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006813623","display_name":"Madjid Tavana","orcid":"https://orcid.org/0000-0003-2017-1723"},"institutions":[{"id":"https://openalex.org/I47652572","display_name":"La Salle University","ror":"https://ror.org/02beve479","country_code":"US","type":"education","lineage":["https://openalex.org/I47652572"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"MADJID TAVANA","raw_affiliation_strings":["Business Systems and Analytics Department, La Salle University, Philadelphia, PA 19141, USA","Business Systems and Analytics Department, La Salle University, Philadelphia, PA, 19141, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Business Systems and Analytics Department, La Salle University, Philadelphia, PA 19141, USA","institution_ids":["https://openalex.org/I47652572"]},{"raw_affiliation_string":"Business Systems and Analytics Department, La Salle University, Philadelphia, PA, 19141, USA","institution_ids":["https://openalex.org/I47652572"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5074147318","display_name":"Per J. Agrell","orcid":"https://orcid.org/0000-0002-3835-2365"},"institutions":[{"id":"https://openalex.org/I95674353","display_name":"UCLouvain","ror":"https://ror.org/02495e989","country_code":"BE","type":"education","lineage":["https://openalex.org/I95674353"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"PER J. AGRELL","raw_affiliation_strings":["Louvain School of Management, Center of Operations Research and Econometrics (CORE), Universit\u00e9 Catholique de Louvain, L1.03.01, B-1348 Louvain-la-Neuve, Belgium"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Louvain School of Management, Center of Operations Research and Econometrics (CORE), Universit\u00e9 Catholique de Louvain, L1.03.01, B-1348 Louvain-la-Neuve, Belgium","institution_ids":["https://openalex.org/I95674353"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5011659647"],"corresponding_institution_ids":["https://openalex.org/I110525433","https://openalex.org/I183067279"],"apc_list":null,"apc_paid":null,"fwci":2.5569,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.90192468,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"21","issue":"01","first_page":"29","last_page":"54"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10357","display_name":"Efficiency Analysis Using DEA","score":0.9988999962806702,"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"}},"topics":[{"id":"https://openalex.org/T10357","display_name":"Efficiency Analysis Using DEA","score":0.9988999962806702,"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"}},{"id":"https://openalex.org/T10698","display_name":"Transportation Planning and Optimization","score":0.9747999906539917,"subfield":{"id":"https://openalex.org/subfields/3313","display_name":"Transportation"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.9674000144004822,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing 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/data-envelopment-analysis","display_name":"Data envelopment analysis","score":0.8546656370162964},{"id":"https://openalex.org/keywords/cluster-analysis","display_name":"Cluster analysis","score":0.6756076216697693},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.6734018325805664},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6654706001281738},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5625874400138855},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.4929080009460449},{"id":"https://openalex.org/keywords/ambiguity","display_name":"Ambiguity","score":0.4833056926727295},{"id":"https://openalex.org/keywords/purchasing","display_name":"Purchasing","score":0.4815428853034973},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4276399314403534},{"id":"https://openalex.org/keywords/fuzzy-clustering","display_name":"Fuzzy clustering","score":0.4115784764289856},{"id":"https://openalex.org/keywords/operations-research","display_name":"Operations research","score":0.35459282994270325},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.35281801223754883},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.2127179205417633},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.21137884259223938},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.19233855605125427},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.15560626983642578}],"concepts":[{"id":"https://openalex.org/C22088475","wikidata":"https://www.wikidata.org/wiki/Q647974","display_name":"Data envelopment analysis","level":2,"score":0.8546656370162964},{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.6756076216697693},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.6734018325805664},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6654706001281738},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5625874400138855},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.4929080009460449},{"id":"https://openalex.org/C2780522230","wikidata":"https://www.wikidata.org/wiki/Q1140419","display_name":"Ambiguity","level":2,"score":0.4833056926727295},{"id":"https://openalex.org/C2778813691","wikidata":"https://www.wikidata.org/wiki/Q1369832","display_name":"Purchasing","level":2,"score":0.4815428853034973},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4276399314403534},{"id":"https://openalex.org/C17212007","wikidata":"https://www.wikidata.org/wiki/Q5511111","display_name":"Fuzzy clustering","level":3,"score":0.4115784764289856},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.35459282994270325},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.35281801223754883},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.2127179205417633},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.21137884259223938},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.19233855605125427},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.15560626983642578},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1142/s0218488513500037","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218488513500037","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:digitalcommons.lasalle.edu:bsa_faculty-1240","is_oa":false,"landing_page_url":"https://digitalcommons.lasalle.edu/bsa_faculty/240","pdf_url":null,"source":{"id":"https://openalex.org/S4377196859","display_name":"La Salle University Digital Commons (La Salle University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I47652572","host_organization_name":"La Salle University","host_organization_lineage":["https://openalex.org/I47652572"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Business Systems and Analytics Faculty Work","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.668.9839","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.668.9839","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://tavana.us/publications/FDEA-CLUSTER.pdf","raw_type":"text"},{"id":"pmh:oai:RePEc:cor:louvrp:2465","is_oa":false,"landing_page_url":"http://doi.org/10.1142/S0218488513500037","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"preprint"},{"id":"pmh:oai:dial.uclouvain.be:boreal:127037","is_oa":false,"landing_page_url":"http://hdl.handle.net/2078.1/127037","pdf_url":null,"source":{"id":"https://openalex.org/S4306401902","display_name":"Digital Access to Libraries (Universit\u00e9 catholique de Louvain (UCL), l'Universit\u00e9 de Namur (UNamur) and the Universit\u00e9 Saint-Louis (USL-B))","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I95674353","host_organization_name":"UCLouvain","host_organization_lineage":["https://openalex.org/I95674353"],"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 Uncertainty, Fuzziness and Knowledge-Based Systems, Vol. 21, no.1, p. 29-54 (2013)","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:dora.dmu.ac.uk:2086/13349","is_oa":false,"landing_page_url":"http://hdl.handle.net/2086/13349","pdf_url":null,"source":{"id":"https://openalex.org/S4306400394","display_name":"DMU Open Research Archive (De Montfort University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I66943878","host_organization_name":"De Montfort University","host_organization_lineage":["https://openalex.org/I66943878"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.7900000214576721,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320321584","display_name":"F\u00e9d\u00e9ration Wallonie-Bruxelles","ror":"https://ror.org/04q01pf08"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":58,"referenced_works":["https://openalex.org/W1532618550","https://openalex.org/W1533692339","https://openalex.org/W1566689221","https://openalex.org/W1585303489","https://openalex.org/W1595996480","https://openalex.org/W1792348492","https://openalex.org/W1965911905","https://openalex.org/W1971984261","https://openalex.org/W1973822995","https://openalex.org/W1978380673","https://openalex.org/W1990301557","https://openalex.org/W1990324933","https://openalex.org/W1990613885","https://openalex.org/W1992132549","https://openalex.org/W1992419399","https://openalex.org/W1992691743","https://openalex.org/W1995854281","https://openalex.org/W1998842685","https://openalex.org/W1998871699","https://openalex.org/W1998946919","https://openalex.org/W2002013708","https://openalex.org/W2002023758","https://openalex.org/W2003486288","https://openalex.org/W2013858410","https://openalex.org/W2018454036","https://openalex.org/W2019892934","https://openalex.org/W2022813452","https://openalex.org/W2023864115","https://openalex.org/W2024413571","https://openalex.org/W2026496668","https://openalex.org/W2029149597","https://openalex.org/W2029784948","https://openalex.org/W2039658949","https://openalex.org/W2042221267","https://openalex.org/W2049559576","https://openalex.org/W2052077202","https://openalex.org/W2055688953","https://openalex.org/W2056441932","https://openalex.org/W2056619877","https://openalex.org/W2068608907","https://openalex.org/W2069069851","https://openalex.org/W2076452041","https://openalex.org/W2081540704","https://openalex.org/W2081752499","https://openalex.org/W2088756387","https://openalex.org/W2090143713","https://openalex.org/W2097173585","https://openalex.org/W2104109662","https://openalex.org/W2113789187","https://openalex.org/W2120688485","https://openalex.org/W2127218421","https://openalex.org/W2129763896","https://openalex.org/W2156577211","https://openalex.org/W2162180338","https://openalex.org/W2506753585","https://openalex.org/W2912565176","https://openalex.org/W2999729612","https://openalex.org/W4211007335"],"related_works":["https://openalex.org/W2801360836","https://openalex.org/W2353179089","https://openalex.org/W4378625608","https://openalex.org/W2923538289","https://openalex.org/W2120745168","https://openalex.org/W2353125546","https://openalex.org/W2470643824","https://openalex.org/W2736559621","https://openalex.org/W2352291457","https://openalex.org/W4386330225"],"abstract_inverted_index":{"Data":[0],"envelopment":[1],"analysis":[2],"(DEA)":[3],"is":[4],"a":[5,115,125,150],"non-parametric":[6],"method":[7,119],"for":[8,30,120,153],"measuring":[9],"the":[10,36,41,45,51,54,58,61,102,130,133,136,139,154,160,168,171,174],"efficiency":[11],"of":[12,38,173],"peer":[13],"operating":[14,32,62,122,140],"units":[15,63,123,141],"that":[16],"employ":[17],"multiple":[18,22],"inputs":[19],"to":[20,35,98,166],"produce":[21],"outputs.":[23],"Several":[24],"DEA":[25,118],"methods":[26,43],"have":[27],"been":[28,95],"proposed":[29,175],"clustering":[31,121],"units.":[33],"However,":[34],"best":[37],"our":[39],"knowledge,":[40],"existing":[42],"in":[44,64,76,107,124,142],"literature":[46],"do":[47],"not":[48],"simultaneously":[49],"consider":[50],"priority":[52,59,131,137],"between":[53,60,132,138],"clusters":[55,134],"(classes)":[56],"and":[57,71,88,100,104,135,149,170],"each":[65,143],"cluster.":[66],"Moreover,":[67],"while":[68],"crisp":[69],"input":[70,87],"output":[72,89],"data":[73],"are":[74,164],"indispensable":[75],"traditional":[77],"DEA,":[78],"real-world":[79],"production":[80],"processes":[81],"may":[82],"involve":[83],"imprecise":[84],"or":[85],"ambiguous":[86],"data.":[90],"Fuzzy":[91],"set":[92],"theory":[93],"has":[94],"widely":[96],"used":[97],"formalize":[99],"represent":[101],"impreciseness":[103],"ambiguity":[105],"inherent":[106],"human":[108],"decision-making.":[109],"In":[110],"this":[111],"paper,":[112],"we":[113],"propose":[114],"new":[116],"fuzzy":[117,126],"environment":[127],"by":[128,159],"considering":[129],"cluster":[144],"simultaneously.":[145],"A":[146],"numerical":[147],"example":[148],"case":[151],"study":[152],"Jet":[155],"Ski":[156],"purchasing":[157],"decision":[158],"Florida":[161],"Border":[162],"Patrol":[163],"presented":[165],"illustrate":[167],"efficacy":[169],"applicability":[172],"method.":[176]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
