{"id":"https://openalex.org/W2172291161","doi":"https://doi.org/10.1142/s0219622014500667","title":"Fuzzy Multi-Objective Linear Programming Based on Compromise VIKOR Method","display_name":"Fuzzy Multi-Objective Linear Programming Based on Compromise VIKOR Method","publication_year":2014,"publication_date":"2014-04-11","ids":{"openalex":"https://openalex.org/W2172291161","doi":"https://doi.org/10.1142/s0219622014500667","mag":"2172291161"},"language":"en","primary_location":{"id":"doi:10.1142/s0219622014500667","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219622014500667","pdf_url":null,"source":{"id":"https://openalex.org/S207089700","display_name":"International Journal of Information Technology & Decision Making","issn_l":"0219-6220","issn":["0219-6220","1793-6845"],"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 Information Technology &amp; Decision Making","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/A5077713532","display_name":"Seyed Hossein Razavi Hajiagha","orcid":"https://orcid.org/0000-0003-2084-7244"},"institutions":[{"id":"https://openalex.org/I2801582476","display_name":"Islamic Azad University of Kashan","ror":"https://ror.org/04q36bj19","country_code":"IR","type":"education","lineage":["https://openalex.org/I110525433","https://openalex.org/I2801582476"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Seyed Hossein Razavi Hajiagha","raw_affiliation_strings":["Department of Management, Kashan Branch, Islamic Azad University, Kashan, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Management, Kashan Branch, Islamic Azad University, Kashan, Iran","institution_ids":["https://openalex.org/I2801582476"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011773855","display_name":"Hannan Amoozad Mahdiraji","orcid":"https://orcid.org/0000-0002-8382-6603"},"institutions":[{"id":"https://openalex.org/I2801582476","display_name":"Islamic Azad University of Kashan","ror":"https://ror.org/04q36bj19","country_code":"IR","type":"education","lineage":["https://openalex.org/I110525433","https://openalex.org/I2801582476"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Hannan Amoozad Mahdiraji","raw_affiliation_strings":["Department of Management, Kashan Branch, Islamic Azad University, Kashan, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Management, Kashan Branch, Islamic Azad University, Kashan, Iran","institution_ids":["https://openalex.org/I2801582476"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5051206308","display_name":"Edmundas Kazimieras Zavadskas","orcid":"https://orcid.org/0000-0002-3201-949X"},"institutions":[{"id":"https://openalex.org/I167420956","display_name":"Vilnius Gediminas Technical University","ror":"https://ror.org/02x3e4q36","country_code":"LT","type":"education","lineage":["https://openalex.org/I167420956"]}],"countries":["LT"],"is_corresponding":false,"raw_author_name":"Edmundas Kazimieras Zavadskas","raw_affiliation_strings":["Research Institute of Smart Building Technologies, Vilnius Gediminas Technical University, Saul\u00e8tekio al.11, LT-10223, Vilnius, Lithuania"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Research Institute of Smart Building Technologies, Vilnius Gediminas Technical University, Saul\u00e8tekio al.11, LT-10223, Vilnius, Lithuania","institution_ids":["https://openalex.org/I167420956"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101451847","display_name":"Shide Sadat Hashemi","orcid":"https://orcid.org/0000-0002-1907-1541"},"institutions":[{"id":"https://openalex.org/I2801582476","display_name":"Islamic Azad University of Kashan","ror":"https://ror.org/04q36bj19","country_code":"IR","type":"education","lineage":["https://openalex.org/I110525433","https://openalex.org/I2801582476"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Shide Sadat Hashemi","raw_affiliation_strings":["Department of Management, Kashan Branch, Islamic Azad University, Kashan, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Management, Kashan Branch, Islamic Azad University, Kashan, Iran","institution_ids":["https://openalex.org/I2801582476"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.2017,"has_fulltext":false,"cited_by_count":26,"citation_normalized_percentile":{"value":0.94105628,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"13","issue":"04","first_page":"679","last_page":"698"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9997000098228455,"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/T10050","display_name":"Multi-Criteria Decision Making","score":0.9997000098228455,"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/T12709","display_name":"Optimization and Mathematical Programming","score":0.9995999932289124,"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/T12135","display_name":"Fuzzy Systems and Optimization","score":0.98089998960495,"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/vikor-method","display_name":"VIKOR method","score":0.7705241441726685},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6899033188819885},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.6210364699363708},{"id":"https://openalex.org/keywords/ideal-solution","display_name":"Ideal solution","score":0.6092429161071777},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5574552416801453},{"id":"https://openalex.org/keywords/ideal","display_name":"Ideal (ethics)","score":0.5495197176933289},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.42123326659202576},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3603261709213257},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.20072931051254272}],"concepts":[{"id":"https://openalex.org/C172438850","wikidata":"https://www.wikidata.org/wiki/Q7907019","display_name":"VIKOR method","level":3,"score":0.7705241441726685},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6899033188819885},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.6210364699363708},{"id":"https://openalex.org/C89591040","wikidata":"https://www.wikidata.org/wiki/Q1779030","display_name":"Ideal solution","level":2,"score":0.6092429161071777},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5574552416801453},{"id":"https://openalex.org/C2776639384","wikidata":"https://www.wikidata.org/wiki/Q840396","display_name":"Ideal (ethics)","level":2,"score":0.5495197176933289},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.42123326659202576},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3603261709213257},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.20072931051254272},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1142/s0219622014500667","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219622014500667","pdf_url":null,"source":{"id":"https://openalex.org/S207089700","display_name":"International Journal of Information Technology & Decision Making","issn_l":"0219-6220","issn":["0219-6220","1793-6845"],"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 Information Technology &amp; Decision Making","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:wsi:ijitdm:v:13:y:2014:i:04:n:s0219622014500667","is_oa":false,"landing_page_url":"http://www.worldscientific.com/doi/abs/10.1142/S0219622014500667","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:dora.dmu.ac.uk:2086/20452","is_oa":false,"landing_page_url":"https://dora.dmu.ac.uk/handle/2086/20452","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"},{"id":"pmh:oai:pure.atira.dk:openaire_cris_publications/dd07dcf3-d45a-4bbf-8aa1-8b85bc9b58b2","is_oa":false,"landing_page_url":"https://research.birmingham.ac.uk/en/publications/dd07dcf3-d45a-4bbf-8aa1-8b85bc9b58b2","pdf_url":null,"source":{"id":"https://openalex.org/S4306402634","display_name":"University of Birmingham Research Portal (University of Birmingham)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79619799","host_organization_name":"University of Birmingham","host_organization_lineage":["https://openalex.org/I79619799"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Hajiagha, S H R, Mahdiraji, H A, Zavadskas, E K & Hashemi, S S 2014, 'Fuzzy Multi-Objective Linear Programming Based on Compromise VIKOR Method', International Journal of Information Technology and Decision Making, vol. 13, no. 4, pp. 679. https://doi.org/10.1142/s0219622014500667","raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.7799999713897705}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":53,"referenced_works":["https://openalex.org/W111796927","https://openalex.org/W182476373","https://openalex.org/W1483431698","https://openalex.org/W1503327452","https://openalex.org/W1964682347","https://openalex.org/W1965387747","https://openalex.org/W1967350113","https://openalex.org/W1983158126","https://openalex.org/W1983896419","https://openalex.org/W1985595462","https://openalex.org/W1986717152","https://openalex.org/W2005588685","https://openalex.org/W2009054772","https://openalex.org/W2011033465","https://openalex.org/W2013782263","https://openalex.org/W2020163262","https://openalex.org/W2020581651","https://openalex.org/W2021263617","https://openalex.org/W2024428474","https://openalex.org/W2026832772","https://openalex.org/W2031024216","https://openalex.org/W2032220291","https://openalex.org/W2037122288","https://openalex.org/W2038604975","https://openalex.org/W2040416338","https://openalex.org/W2051798785","https://openalex.org/W2053190248","https://openalex.org/W2054111873","https://openalex.org/W2058265515","https://openalex.org/W2064106898","https://openalex.org/W2065109455","https://openalex.org/W2068123185","https://openalex.org/W2069069851","https://openalex.org/W2073344375","https://openalex.org/W2076309564","https://openalex.org/W2086147261","https://openalex.org/W2086467817","https://openalex.org/W2093418176","https://openalex.org/W2099867994","https://openalex.org/W2109658220","https://openalex.org/W2139707647","https://openalex.org/W2171715801","https://openalex.org/W2330022088","https://openalex.org/W2483669932","https://openalex.org/W2912565176","https://openalex.org/W3029645440","https://openalex.org/W3125705824","https://openalex.org/W4211007335","https://openalex.org/W4237503069","https://openalex.org/W4244276237","https://openalex.org/W4245064027","https://openalex.org/W4292158025","https://openalex.org/W4293775970"],"related_works":["https://openalex.org/W2617661268","https://openalex.org/W2008073791","https://openalex.org/W1586011306","https://openalex.org/W3138839988","https://openalex.org/W2625846308","https://openalex.org/W1993452631","https://openalex.org/W2209888997","https://openalex.org/W2116163370","https://openalex.org/W2386976460","https://openalex.org/W158440782"],"abstract_inverted_index":{"Real-world":[0],"decision-making":[1],"problems":[2],"often":[3],"consist":[4],"in":[5,20,90,99],"considering":[6],"multiple":[7],"and":[8,40,70,94],"antithetic":[9],"objectives.":[10],"Therefore,":[11],"multi-objective":[12],"decision":[13],"making":[14],"(MODM)":[15],"is":[16,30,48,88,97],"a":[17,26,41,60],"practical":[18],"framework":[19],"implicational":[21],"areas.":[22],"In":[23],"this":[24],"paper,":[25],"fuzzy":[27,56],"MODM":[28],"problem":[29,61],"considered,":[31],"where":[32],"all":[33],"of":[34,80,84,107],"its":[35,64,95],"parameters":[36],"are":[37],"defined":[38],"fuzzily,":[39],"solution":[42,58],"inspired":[43],"by":[44,62],"multi-attribute":[45],"VIKOR":[46],"method":[47,52,74,87],"proposed.":[49],"The":[50],"proposed":[51,86,109],"tries":[53],"to":[54],"find":[55],"efficient":[57,78],"for":[59],"minimizing":[63],"combinational":[65],"distance":[66],"from":[67],"an":[68,91,100],"ideal":[69],"anti-ideal":[71],"solution.":[72],"This":[73],"can":[75],"reveal":[76],"the":[77,81,85,108],"frontier":[79],"problem.":[82,102],"Applicability":[83],"shown":[89],"illustrative":[92],"example":[93],"application":[96],"summarized":[98],"investment":[101],"Both":[103],"examples":[104],"show":[105],"applicability":[106],"method.":[110]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":3},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
