{"id":"https://openalex.org/W1525212704","doi":"https://doi.org/10.3233/ifs-130798","title":"A multiple criteria hesitant fuzzy decision making with Shapley value-based VIKOR method","display_name":"A multiple criteria hesitant fuzzy decision making with Shapley value-based VIKOR method","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W1525212704","doi":"https://doi.org/10.3233/ifs-130798","mag":"1525212704"},"language":"en","primary_location":{"id":"doi:10.3233/ifs-130798","is_oa":false,"landing_page_url":"https://doi.org/10.3233/ifs-130798","pdf_url":null,"source":{"id":"https://openalex.org/S179157397","display_name":"Journal of Intelligent & Fuzzy Systems","issn_l":"1064-1246","issn":["1064-1246","1875-8967"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Intelligent &amp; 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/A5029662492","display_name":"Guiwu Wei","orcid":"https://orcid.org/0000-0001-9074-2005"},"institutions":[{"id":"https://openalex.org/I4210110609","display_name":"Chongqing University of Arts and Sciences","ror":"https://ror.org/01rcvq140","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210110609"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Guiwu Wei","raw_affiliation_strings":["School of Economics and Management, Chongqing University of Arts and Sciences, Yongchuan, Chongqing, China"],"affiliations":[{"raw_affiliation_string":"School of Economics and Management, Chongqing University of Arts and Sciences, Yongchuan, Chongqing, China","institution_ids":["https://openalex.org/I4210110609"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5088352651","display_name":"Nian Zhang","orcid":"https://orcid.org/0000-0002-2631-7108"},"institutions":[{"id":"https://openalex.org/I4800084","display_name":"Southwest Jiaotong University","ror":"https://ror.org/00hn7w693","country_code":"CN","type":"education","lineage":["https://openalex.org/I4800084"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Nian Zhang","raw_affiliation_strings":["School of Economic &amp; Management, Southwest Jiaotong University, Chengdu, Sichuan, China","School of Economic & Management, Southwest Jiaotong University, Chengdu, Sichuan, China"],"affiliations":[{"raw_affiliation_string":"School of Economic &amp; Management, Southwest Jiaotong University, Chengdu, Sichuan, China","institution_ids":["https://openalex.org/I4800084"]},{"raw_affiliation_string":"School of Economic & Management, Southwest Jiaotong University, Chengdu, Sichuan, China","institution_ids":["https://openalex.org/I4800084"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5029662492"],"corresponding_institution_ids":["https://openalex.org/I4210110609"],"apc_list":null,"apc_paid":null,"fwci":22.32,"has_fulltext":false,"cited_by_count":101,"citation_normalized_percentile":{"value":0.9959163,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":100},"biblio":{"volume":"26","issue":"2","first_page":"1065","last_page":"1075"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9779000282287598,"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":0.9484000205993652,"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":0.8915238976478577},{"id":"https://openalex.org/keywords/shapley-value","display_name":"Shapley value","score":0.8886617422103882},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4886327385902405},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.4865359365940094},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.45993733406066895},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.34812748432159424},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.3445821702480316},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3282463550567627},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.21372315287590027},{"id":"https://openalex.org/keywords/game-theory","display_name":"Game theory","score":0.12067893147468567},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.09889969229698181}],"concepts":[{"id":"https://openalex.org/C172438850","wikidata":"https://www.wikidata.org/wiki/Q7907019","display_name":"VIKOR method","level":3,"score":0.8915238976478577},{"id":"https://openalex.org/C199022921","wikidata":"https://www.wikidata.org/wiki/Q240046","display_name":"Shapley value","level":3,"score":0.8886617422103882},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4886327385902405},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.4865359365940094},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.45993733406066895},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.34812748432159424},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.3445821702480316},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3282463550567627},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.21372315287590027},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.12067893147468567},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.09889969229698181}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/ifs-130798","is_oa":false,"landing_page_url":"https://doi.org/10.3233/ifs-130798","pdf_url":null,"source":{"id":"https://openalex.org/S179157397","display_name":"Journal of Intelligent & Fuzzy Systems","issn_l":"1064-1246","issn":["1064-1246","1875-8967"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Intelligent &amp; Fuzzy Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.7799999713897705,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":59,"referenced_works":["https://openalex.org/W32692342","https://openalex.org/W182920891","https://openalex.org/W194786220","https://openalex.org/W1484881229","https://openalex.org/W1546067212","https://openalex.org/W1567467600","https://openalex.org/W1963514421","https://openalex.org/W1967510083","https://openalex.org/W1978038284","https://openalex.org/W1980644867","https://openalex.org/W1981107087","https://openalex.org/W1982034525","https://openalex.org/W1991419869","https://openalex.org/W1998031161","https://openalex.org/W2001262510","https://openalex.org/W2007640321","https://openalex.org/W2008818676","https://openalex.org/W2017454381","https://openalex.org/W2017977229","https://openalex.org/W2020915858","https://openalex.org/W2022376719","https://openalex.org/W2023493955","https://openalex.org/W2024742635","https://openalex.org/W2031241748","https://openalex.org/W2031391348","https://openalex.org/W2033810643","https://openalex.org/W2035082729","https://openalex.org/W2036234778","https://openalex.org/W2041546765","https://openalex.org/W2044370617","https://openalex.org/W2044832617","https://openalex.org/W2047147035","https://openalex.org/W2050262998","https://openalex.org/W2050709486","https://openalex.org/W2051231777","https://openalex.org/W2053190248","https://openalex.org/W2057178439","https://openalex.org/W2065109455","https://openalex.org/W2068069653","https://openalex.org/W2079767857","https://openalex.org/W2084063803","https://openalex.org/W2089953456","https://openalex.org/W2090526711","https://openalex.org/W2092851543","https://openalex.org/W2116365436","https://openalex.org/W2126856515","https://openalex.org/W2130626816","https://openalex.org/W2131390763","https://openalex.org/W2137911902","https://openalex.org/W2157452305","https://openalex.org/W2164734181","https://openalex.org/W2167967165","https://openalex.org/W2168743349","https://openalex.org/W2315271006","https://openalex.org/W2493238591","https://openalex.org/W2506768821","https://openalex.org/W2912565176","https://openalex.org/W3047412183","https://openalex.org/W3143689354"],"related_works":["https://openalex.org/W1525212704","https://openalex.org/W2803105815","https://openalex.org/W1584952351","https://openalex.org/W2042580993","https://openalex.org/W2803150505","https://openalex.org/W1995780029","https://openalex.org/W2952811515","https://openalex.org/W1995179446","https://openalex.org/W2259808229","https://openalex.org/W2289231326"],"abstract_inverted_index":{"Hesitancy":[0],"is":[1,35,72,124,175,233,276],"the":[2,32,51,59,69,87,107,112,117,121,128,135,138,142,149,159,167,187,197,212,224,238,256,261,265,273],"most":[3],"common":[4],"problem":[5,245,262],"in":[6,61,65,116,193],"decision":[7,62,70,97,118,130,242],"making,":[8,63],"for":[9,25,50,58],"which":[10,174],"hesitant":[11,207,247],"fuzzy":[12,208,248],"set":[13,209],"can":[14],"be":[15,100,153,178],"considered":[16],"as":[17,180],"a":[18,29,41,46,54,66,181,269,279],"suitable":[19],"means":[20],"allowing":[21],"several":[22],"possible":[23],"degrees":[24],"an":[26,36,190,229],"element":[27,147,191],"to":[28,39,79,110,126,152,170,177,235,259],"set.":[30],"And,":[31],"VIKOR":[33,231],"method":[34,232,258],"effective":[37],"tool":[38],"determine":[40],"compromise":[42],"solution":[43],"by":[44],"providing":[45],"maximum":[47],"\u201cgroup":[48],"utility\u201d":[49],"\u201cmajority\u201d":[52],"and":[53,94,114,155,210],"minimum":[55],"\u201cindividual":[56],"regret\u201d":[57],"\u201copponent\u201d":[60],"particularly":[64],"situation":[67],"where":[68],"maker":[71],"not":[73,77],"able":[74],"or":[75,89],"does":[76],"know":[78],"express":[80],"his/her":[81],"preference.":[82],"In":[83,144,162],"many":[84],"practical":[85],"situations,":[86],"inter-dependent":[88],"interactive":[90],"characteristics":[91],"among":[92],"criteria":[93,241],"preference":[95],"of":[96,137,141,183,186,189,206,272],"makers":[98],"should":[99],"taken":[101],"into":[102],"account,":[103],"we":[104,133,165,202,253],"generally":[105],"utilize":[106],"Choquet":[108,122],"integral":[109,123],"depict":[111],"correlations":[113],"interactions":[115],"process.":[119],"When":[120],"used":[125,176],"solve":[127,171,260],"correlative":[129,172,239],"making":[131,243],"problems,":[132],"ignore":[134],"importance":[136],"ordered":[139],"position":[140,199],"element.":[143],"fact,":[145],"each":[146],"has":[148],"same":[150,160,198],"probability":[151],"drawn":[154],"all":[156,194],"permutations":[157],"have":[158],"probability.":[161,200],"this":[163],"paper,":[164],"introduce":[166],"Shapley":[168,213,266],"value":[169,185],"problem,":[173],"interpreted":[179],"kind":[182],"average":[184],"contribution":[188],"alone":[192],"coalitions":[195],"with":[196,237,278],"Firstly,":[201],"present":[203],"some":[204],"concepts":[205],"define":[211],"value-based":[214],"L":[215],"p":[216],"\u2013":[217,221,227],"metric":[218],"(SL":[219],"p,\u03bc":[220,226],"metric).":[222],"With":[223],"SL":[225],"metric,":[228],"extended":[230],"developed":[234],"deal":[236],"multiple":[240],"(MCDM)":[244],"under":[246],"environment.":[249],"To":[250],"comparative":[251,270],"analysis,":[252],"also":[254],"apply":[255],"TOPSIS":[257],"based":[263],"on":[264],"value.":[267],"Finally,":[268],"analysis":[271],"two":[274],"methods":[275],"illustrated":[277],"numerical":[280],"example.":[281]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":15},{"year":2017,"cited_by_count":16},{"year":2016,"cited_by_count":17},{"year":2015,"cited_by_count":11},{"year":2014,"cited_by_count":11}],"updated_date":"2026-02-12T06:13:03.167441","created_date":"2025-10-10T00:00:00"}
