{"id":"https://openalex.org/W2064837934","doi":"https://doi.org/10.1142/s0219622014500205","title":"A Novel Method for Fuzzy Multi-Criteria Decision Making","display_name":"A Novel Method for Fuzzy Multi-Criteria Decision Making","publication_year":2013,"publication_date":"2013-12-30","ids":{"openalex":"https://openalex.org/W2064837934","doi":"https://doi.org/10.1142/s0219622014500205","mag":"2064837934"},"language":"en","primary_location":{"id":"doi:10.1142/s0219622014500205","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219622014500205","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 & 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/A5065704094","display_name":"Meimei Xia","orcid":"https://orcid.org/0000-0002-8342-9317"},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Meimei Xia","raw_affiliation_strings":["School of Economics and Management, Tsinghua University, Beijing 100084, China"],"affiliations":[{"raw_affiliation_string":"School of Economics and Management, Tsinghua University, Beijing 100084, China","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100437308","display_name":"Zeshui Xu","orcid":"https://orcid.org/0000-0003-3547-2908"},"institutions":[{"id":"https://openalex.org/I24185976","display_name":"Sichuan University","ror":"https://ror.org/011ashp19","country_code":"CN","type":"education","lineage":["https://openalex.org/I24185976"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zeshui Xu","raw_affiliation_strings":["Business School, Sichuan University, Chengdu 610064, China"],"affiliations":[{"raw_affiliation_string":"Business School, Sichuan University, Chengdu 610064, China","institution_ids":["https://openalex.org/I24185976"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5065704094"],"corresponding_institution_ids":["https://openalex.org/I99065089"],"apc_list":null,"apc_paid":null,"fwci":1.6439,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.85683534,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"13","issue":"03","first_page":"497","last_page":"519"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9995999932289124,"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":0.9995999932289124,"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/T13955","display_name":"Evaluation Methods in Various Fields","score":0.9678999781608582,"subfield":{"id":"https://openalex.org/subfields/2302","display_name":"Ecological Modeling"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9466999769210815,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/ideal","display_name":"Ideal (ethics)","score":0.7119793891906738},{"id":"https://openalex.org/keywords/decision-matrix","display_name":"Decision matrix","score":0.6148947477340698},{"id":"https://openalex.org/keywords/group-decision-making","display_name":"Group decision-making","score":0.6113751530647278},{"id":"https://openalex.org/keywords/weight","display_name":"Weight","score":0.6010235548019409},{"id":"https://openalex.org/keywords/ideal-solution","display_name":"Ideal solution","score":0.5889300107955933},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5799466967582703},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5573943257331848},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5317318439483643},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.47435319423675537},{"id":"https://openalex.org/keywords/weighted-sum-model","display_name":"Weighted sum model","score":0.4515182673931122},{"id":"https://openalex.org/keywords/aggregate","display_name":"Aggregate (composite)","score":0.4427212178707123},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.44141173362731934},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.42808839678764343},{"id":"https://openalex.org/keywords/optimal-decision","display_name":"Optimal decision","score":0.42257189750671387},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.407746285200119},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3027193248271942},{"id":"https://openalex.org/keywords/operations-research","display_name":"Operations research","score":0.26482489705085754},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.20006531476974487},{"id":"https://openalex.org/keywords/decision-tree","display_name":"Decision tree","score":0.1105073094367981}],"concepts":[{"id":"https://openalex.org/C2776639384","wikidata":"https://www.wikidata.org/wiki/Q840396","display_name":"Ideal (ethics)","level":2,"score":0.7119793891906738},{"id":"https://openalex.org/C137402852","wikidata":"https://www.wikidata.org/wiki/Q5249239","display_name":"Decision matrix","level":2,"score":0.6148947477340698},{"id":"https://openalex.org/C20701700","wikidata":"https://www.wikidata.org/wiki/Q388791","display_name":"Group decision-making","level":2,"score":0.6113751530647278},{"id":"https://openalex.org/C183877218","wikidata":"https://www.wikidata.org/wiki/Q7979858","display_name":"Weight","level":3,"score":0.6010235548019409},{"id":"https://openalex.org/C89591040","wikidata":"https://www.wikidata.org/wiki/Q1779030","display_name":"Ideal solution","level":2,"score":0.5889300107955933},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5799466967582703},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5573943257331848},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5317318439483643},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.47435319423675537},{"id":"https://openalex.org/C188222737","wikidata":"https://www.wikidata.org/wiki/Q7979909","display_name":"Weighted sum model","level":4,"score":0.4515182673931122},{"id":"https://openalex.org/C4679612","wikidata":"https://www.wikidata.org/wiki/Q866298","display_name":"Aggregate (composite)","level":2,"score":0.4427212178707123},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.44141173362731934},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.42808839678764343},{"id":"https://openalex.org/C150325174","wikidata":"https://www.wikidata.org/wiki/Q4335500","display_name":"Optimal decision","level":3,"score":0.42257189750671387},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.407746285200119},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3027193248271942},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.26482489705085754},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.20006531476974487},{"id":"https://openalex.org/C84525736","wikidata":"https://www.wikidata.org/wiki/Q831366","display_name":"Decision tree","level":2,"score":0.1105073094367981},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","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/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C51568863","wikidata":"https://www.wikidata.org/wiki/Q664495","display_name":"Lie algebra","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s0219622014500205","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219622014500205","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 & Decision Making","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:wsi:ijitdm:v:13:y:2014:i:03:n:s0219622014500205","is_oa":false,"landing_page_url":"http://www.worldscientific.com/doi/abs/10.1142/S0219622014500205","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"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.800000011920929,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321543","display_name":"China Postdoctoral Science Foundation","ror":"https://ror.org/0426zh255"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":69,"referenced_works":["https://openalex.org/W1964756304","https://openalex.org/W1967350113","https://openalex.org/W1967631404","https://openalex.org/W1969420572","https://openalex.org/W1970781361","https://openalex.org/W1971875039","https://openalex.org/W1976210991","https://openalex.org/W1977711782","https://openalex.org/W1980564456","https://openalex.org/W1982647522","https://openalex.org/W1985152658","https://openalex.org/W1986849065","https://openalex.org/W1987177581","https://openalex.org/W1988442031","https://openalex.org/W1989995659","https://openalex.org/W1995654381","https://openalex.org/W2001276576","https://openalex.org/W2002182717","https://openalex.org/W2004547246","https://openalex.org/W2007640321","https://openalex.org/W2013908206","https://openalex.org/W2016371562","https://openalex.org/W2022373133","https://openalex.org/W2022376719","https://openalex.org/W2037767697","https://openalex.org/W2040901351","https://openalex.org/W2041455711","https://openalex.org/W2042102899","https://openalex.org/W2042491638","https://openalex.org/W2047833440","https://openalex.org/W2049599335","https://openalex.org/W2049898494","https://openalex.org/W2053047891","https://openalex.org/W2055820261","https://openalex.org/W2056750104","https://openalex.org/W2058753815","https://openalex.org/W2059354089","https://openalex.org/W2060907774","https://openalex.org/W2061963820","https://openalex.org/W2072224657","https://openalex.org/W2076395105","https://openalex.org/W2085440944","https://openalex.org/W2086337028","https://openalex.org/W2089228118","https://openalex.org/W2089556013","https://openalex.org/W2101133662","https://openalex.org/W2110447423","https://openalex.org/W2112429936","https://openalex.org/W2121173044","https://openalex.org/W2134690501","https://openalex.org/W2139606076","https://openalex.org/W2144232912","https://openalex.org/W2150546380","https://openalex.org/W2157041604","https://openalex.org/W2157687268","https://openalex.org/W2167510151","https://openalex.org/W2182044576","https://openalex.org/W2271588387","https://openalex.org/W2346443999","https://openalex.org/W2506768821","https://openalex.org/W2530680027","https://openalex.org/W2534144282","https://openalex.org/W2912565176","https://openalex.org/W3156834475","https://openalex.org/W4211007335","https://openalex.org/W4235473310","https://openalex.org/W4240200017","https://openalex.org/W4243419638","https://openalex.org/W4245152641"],"related_works":["https://openalex.org/W2046835597","https://openalex.org/W1993254030","https://openalex.org/W2384684897","https://openalex.org/W3108582778","https://openalex.org/W2064837934","https://openalex.org/W3141999499","https://openalex.org/W2356816586","https://openalex.org/W2519715111","https://openalex.org/W1147574541","https://openalex.org/W2806814658"],"abstract_inverted_index":{"To":[0,58,108],"determine":[1],"the":[2,8,15,25,29,33,60,74,79,86,91,96,99,104,110,129,132,139,147,152,155,160,188,195,211,214],"weight":[3,26],"vector":[4],"and":[5,32,85,103,138,146,159,184],"to":[6,127,150,170,204],"aggregate":[7],"individual":[9,82],"opinions":[10],"are":[11,35,120],"necessary":[12],"steps":[13,52],"in":[14,23],"classical":[16],"methods":[17],"for":[18,143],"multi-criteria":[19],"group":[20,62,88,101,106,173],"decision-making":[21,174],"problems":[22],"which":[24,48,73,125,197],"vectors":[27],"of":[28,70,113,118,124,213],"decision":[30,63,83,189],"makers":[31,190],"criteria":[34],"incompletely":[36],"known.":[37],"In":[38],"this":[39],"paper,":[40],"we":[41,65],"propose":[42,67],"a":[43],"simple":[44],"but":[45],"efficient":[46],"approach":[47],"can":[49,167,185,198],"avoid":[50],"these":[51],"by":[53,193],"establishing":[54],"some":[55],"optimal":[56,61],"models.":[57],"get":[59,109],"matrix,":[64],"first":[66],"two":[68,116],"kinds":[69],"models":[71,119,166],"among":[72],"former":[75],"focuses":[76],"on":[77],"minimizing":[78,95],"deviations":[80,97],"between":[81,98,131,154],"matrix":[84],"ideal":[87,105,140,161],"one,":[89],"while":[90],"latter":[92],"aims":[93],"at":[94],"estimated":[100,156],"opinion":[102],"one.":[107,163],"overall":[111,141,157,162],"performances":[112],"alternatives,":[114],"another":[115],"types":[117],"further":[121],"established,":[122],"one":[123],"is":[126,149],"minimize":[128,151],"distance":[130,153],"evaluation":[133],"value":[134,142,158],"under":[135,175],"each":[136,144],"criterion":[137],"alternative,":[145],"other":[148,181],"The":[164],"proposed":[165,215],"be":[168,199],"used":[169],"deal":[171],"with":[172],"intuitionistic":[176],"fuzzy,":[177],"interval-valued":[178],"fuzzy":[179,182],"or":[180],"environments,":[183],"also":[186],"provide":[187],"more":[191],"choices":[192],"containing":[194],"parameter":[196],"assigned":[200],"different":[201,205],"values":[202],"according":[203],"actual":[206],"situations.":[207],"Several":[208],"examples":[209],"illustrate":[210],"practicability":[212],"methods.":[216]},"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}