{"id":"https://openalex.org/W2000962220","doi":"https://doi.org/10.4018/ijfsa.2012070101","title":"A Two-Fold Linear Programming Model with Fuzzy Data","display_name":"A Two-Fold Linear Programming Model with Fuzzy Data","publication_year":2012,"publication_date":"2012-07-01","ids":{"openalex":"https://openalex.org/W2000962220","doi":"https://doi.org/10.4018/ijfsa.2012070101","mag":"2000962220"},"language":"en","primary_location":{"id":"doi:10.4018/ijfsa.2012070101","is_oa":false,"landing_page_url":"https://doi.org/10.4018/ijfsa.2012070101","pdf_url":null,"source":{"id":"https://openalex.org/S4210179311","display_name":"International Journal of Fuzzy System Applications","issn_l":"2156-1761","issn":["2156-1761","2156-177X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320424","host_organization_name":"IGI Global","host_organization_lineage":["https://openalex.org/P4310320424"],"host_organization_lineage_names":["IGI Global"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Fuzzy System Applications","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/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":["Islamic Azad University, North Tehran Branch, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Islamic Azad University, North Tehran Branch, Iran","institution_ids":["https://openalex.org/I183067279"]}]},{"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":["Universit\u00e9 catholique de Louvain, Belgium","Universite Catholique de Louvain, Belgium#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e9 catholique de Louvain, Belgium","institution_ids":["https://openalex.org/I95674353"]},{"raw_affiliation_string":"Universite Catholique de Louvain, Belgium#TAB#","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":["La Salle University, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"La Salle University, USA","institution_ids":["https://openalex.org/I47652572"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5078896520","display_name":"Elham Hajiahkondi","orcid":null},"institutions":[{"id":"https://openalex.org/I55547365","display_name":"Payame Noor University","ror":"https://ror.org/031699d98","country_code":"IR","type":"education","lineage":["https://openalex.org/I55547365"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Elham Hajiahkondi","raw_affiliation_strings":["Payame Noor University, Iran","Payame Noor University, IRAN"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Payame Noor University, Iran","institution_ids":["https://openalex.org/I55547365"]},{"raw_affiliation_string":"Payame Noor University, IRAN","institution_ids":["https://openalex.org/I55547365"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5011659647"],"corresponding_institution_ids":["https://openalex.org/I183067279"],"apc_list":null,"apc_paid":null,"fwci":4.5466,"has_fulltext":false,"cited_by_count":24,"citation_normalized_percentile":{"value":0.94195778,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"2","issue":"3","first_page":"1","last_page":"12"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12709","display_name":"Optimization and Mathematical Programming","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T12709","display_name":"Optimization and Mathematical Programming","score":0.9998999834060669,"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"}},{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9979000091552734,"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/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9811999797821045,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6582366228103638},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.6504926085472107},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.6359522342681885},{"id":"https://openalex.org/keywords/ranking","display_name":"Ranking (information retrieval)","score":0.5659817457199097},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.539357602596283},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.505640983581543},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.45112836360931396},{"id":"https://openalex.org/keywords/fuzzy-set-operations","display_name":"Fuzzy set operations","score":0.4465824067592621},{"id":"https://openalex.org/keywords/fold","display_name":"Fold (higher-order function)","score":0.4381479322910309},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.38409534096717834},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.32760339975357056},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.32403379678726196},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2000555694103241}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6582366228103638},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.6504926085472107},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.6359522342681885},{"id":"https://openalex.org/C189430467","wikidata":"https://www.wikidata.org/wiki/Q7293293","display_name":"Ranking (information retrieval)","level":2,"score":0.5659817457199097},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.539357602596283},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.505640983581543},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45112836360931396},{"id":"https://openalex.org/C148671577","wikidata":"https://www.wikidata.org/wiki/Q5511133","display_name":"Fuzzy set operations","level":4,"score":0.4465824067592621},{"id":"https://openalex.org/C53942344","wikidata":"https://www.wikidata.org/wiki/Q951651","display_name":"Fold (higher-order function)","level":2,"score":0.4381479322910309},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.38409534096717834},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.32760339975357056},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.32403379678726196},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2000555694103241},{"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:10.4018/ijfsa.2012070101","is_oa":false,"landing_page_url":"https://doi.org/10.4018/ijfsa.2012070101","pdf_url":null,"source":{"id":"https://openalex.org/S4210179311","display_name":"International Journal of Fuzzy System Applications","issn_l":"2156-1761","issn":["2156-1761","2156-177X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320424","host_organization_name":"IGI Global","host_organization_lineage":["https://openalex.org/P4310320424"],"host_organization_lineage_names":["IGI Global"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Fuzzy System Applications","raw_type":"journal-article"},{"id":"pmh:oai:digitalcommons.lasalle.edu:bsa_faculty-1256","is_oa":false,"landing_page_url":"https://digitalcommons.lasalle.edu/bsa_faculty/256","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:RePEc:cor:louvrp:-2424","is_oa":false,"landing_page_url":"http://doi.org/10.4018/ijfsa.2012070101","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:RePEc:igg:jfsa00:v:2:y:2012:i:3:p:1-12","is_oa":false,"landing_page_url":"https://services.igi-global.com/resolvedoi/resolve.aspx?doi=10.4018/ijfsa.2012070101","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":null,"raw_type":"article"},{"id":"pmh:oai:dial.uclouvain.be:boreal:112900","is_oa":false,"landing_page_url":"http://hdl.handle.net/2078.1/112900","pdf_url":null,"source":{"id":"https://openalex.org/S4306400166","display_name":"Digital Access to Libraries","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2800384882","host_organization_name":"Harris County Public Library","host_organization_lineage":["https://openalex.org/I2800384882"],"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 System Applications, Vol. 2, no. 3, p. 1-12 (2012)","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:dora.dmu.ac.uk:2086/13387","is_oa":false,"landing_page_url":"http://hdl.handle.net/2086/13387","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":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https://openalex.org/W644023506","https://openalex.org/W1485268022","https://openalex.org/W1531126033","https://openalex.org/W1554018745","https://openalex.org/W1590148559","https://openalex.org/W1735048081","https://openalex.org/W1898259180","https://openalex.org/W1970110862","https://openalex.org/W1982109263","https://openalex.org/W1990819810","https://openalex.org/W1992980798","https://openalex.org/W1993541808","https://openalex.org/W2000171585","https://openalex.org/W2000343473","https://openalex.org/W2018998144","https://openalex.org/W2019239194","https://openalex.org/W2025448212","https://openalex.org/W2031160767","https://openalex.org/W2041891087","https://openalex.org/W2069432160","https://openalex.org/W2069760205","https://openalex.org/W2071297453","https://openalex.org/W2080974154","https://openalex.org/W2082419312","https://openalex.org/W2083257539","https://openalex.org/W2085888792","https://openalex.org/W2099867994","https://openalex.org/W2113688222","https://openalex.org/W2128980567","https://openalex.org/W2133695364","https://openalex.org/W2155676322","https://openalex.org/W2167988338","https://openalex.org/W2169271751","https://openalex.org/W2170112393","https://openalex.org/W2171715801","https://openalex.org/W2176210190","https://openalex.org/W2228932084","https://openalex.org/W2330022088","https://openalex.org/W2799024770","https://openalex.org/W2912565176","https://openalex.org/W4211007335","https://openalex.org/W4214637188","https://openalex.org/W4239496270","https://openalex.org/W4292158025"],"related_works":["https://openalex.org/W2253053392","https://openalex.org/W2184441312","https://openalex.org/W2121560876","https://openalex.org/W4206081075","https://openalex.org/W2331106272","https://openalex.org/W2366385051","https://openalex.org/W1470403688","https://openalex.org/W1486684451","https://openalex.org/W4361984403","https://openalex.org/W4361273540"],"abstract_inverted_index":{"Linear":[0],"programming":[1],"(LP)":[2],"is":[3],"the":[4,44,75,95,98,101,109,112,138,151,154,165,172,175],"most":[5],"widely":[6],"used":[7,50],"optimization":[8,35],"technique":[9],"for":[10,60,87,163],"solving":[11,88],"real-life":[12],"problems":[13,36,92],"because":[14],"of":[15,41,47,65,83,100,174],"its":[16],"simplicity":[17],"and":[18,26,30,97,130,140],"efficiency.":[19],"Although":[20],"LP":[21,90,121,148,158],"models":[22],"require":[23],"well-suited":[24],"information":[25,42],"precise":[27],"data,":[28],"managers":[29],"decision":[31],"makers":[32],"dealing":[33,61],"with":[34,62,145,160,178],"often":[37],"have":[38],"a":[39,57,78,119,125,132,146,157],"lack":[40],"on":[43],"exact":[45],"values":[46],"some":[48],"parameters":[49],"in":[51,93],"their":[52,115],"models.":[53],"Fuzzy":[54],"sets":[55],"provide":[56],"powerful":[58],"tool":[59],"this":[63,73],"kind":[64],"imprecise,":[66],"vague,":[67],"uncertain":[68],"or":[69],"incomplete":[70],"data.":[71],"In":[72,108,150],"paper,":[74],"authors":[76,113,155,170],"propose":[77,156],"two-fold":[79],"model":[80,117,122,159],"which":[81,94],"consists":[82],"two":[84,179],"new":[85,126,133],"methods":[86],"fuzzy":[89,106,127,139],"(FLP)":[91],"variables":[96,162],"coefficients":[99],"constraints":[102],"are":[103],"characterized":[104],"by":[105,123],"numbers.":[107],"first":[110],"method,":[111,153],"transform":[114],"FLP":[116],"into":[118],"conventional":[120],"using":[124],"ranking":[128],"method":[129,177],"introducing":[131],"supplementary":[134],"variable":[135],"to":[136],"obtain":[137],"crisp":[141,161,166],"optimal":[142,167],"solutions":[143],"simultaneously":[144],"single":[147],"model.":[149],"second":[152],"identifying":[164],"solutions.":[168],"The":[169],"demonstrate":[171],"details":[173],"proposed":[176],"numerical":[180],"examples.":[181]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
