{"id":"https://openalex.org/W4256291769","doi":"https://doi.org/10.1080/18756891.2010.9727702","title":"Models for Multiple Attribute Group Decision Making with 2-Tuple Linguistic Assessment Information","display_name":"Models for Multiple Attribute Group Decision Making with 2-Tuple Linguistic Assessment Information","publication_year":2010,"publication_date":"2010-09-01","ids":{"openalex":"https://openalex.org/W4256291769","doi":"https://doi.org/10.1080/18756891.2010.9727702"},"language":"en","primary_location":{"id":"doi:10.1080/18756891.2010.9727702","is_oa":true,"landing_page_url":"https://doi.org/10.1080/18756891.2010.9727702","pdf_url":null,"source":{"id":"https://openalex.org/S190680769","display_name":"International Journal of Computational Intelligence Systems","issn_l":"1875-6883","issn":["1875-6883","1875-6891"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computational Intelligence Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.1080/18756891.2010.9727702","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":["Department of Economics and Management , Chongqing University of Arts and Sciences , Yongchuan , 402160 , China"],"affiliations":[{"raw_affiliation_string":"Department of Economics and Management , Chongqing University of Arts and Sciences , Yongchuan , 402160 , China","institution_ids":["https://openalex.org/I4210110609"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066868064","display_name":"Rui Lin","orcid":"https://orcid.org/0000-0001-9560-7187"},"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":false,"raw_author_name":"Rui Lin","raw_affiliation_strings":["Department of Economics and Management , Chongqing University of Arts and Sciences , Yongchuan , 402160 , China"],"affiliations":[{"raw_affiliation_string":"Department of Economics and Management , Chongqing University of Arts and Sciences , Yongchuan , 402160 , China","institution_ids":["https://openalex.org/I4210110609"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080326822","display_name":"Xiaofei Zhao","orcid":"https://orcid.org/0000-0001-6722-156X"},"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":false,"raw_author_name":"Xiaofei Zhao","raw_affiliation_strings":["Department of Economics and Management , Chongqing University of Arts and Sciences , Yongchuan , 402160 , China"],"affiliations":[{"raw_affiliation_string":"Department of Economics and Management , Chongqing University of Arts and Sciences , Yongchuan , 402160 , China","institution_ids":["https://openalex.org/I4210110609"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100357107","display_name":"Hongjun Wang","orcid":"https://orcid.org/0000-0001-6736-6566"},"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":false,"raw_author_name":"Hongjun Wang","raw_affiliation_strings":["Department of Economics and Management , Chongqing University of Arts and Sciences , Yongchuan , 402160 , China"],"affiliations":[{"raw_affiliation_string":"Department of Economics and Management , Chongqing University of Arts and Sciences , Yongchuan , 402160 , China","institution_ids":["https://openalex.org/I4210110609"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5029662492"],"corresponding_institution_ids":["https://openalex.org/I4210110609"],"apc_list":{"value":1390,"currency":"GBP","value_usd":1704},"apc_paid":{"value":1390,"currency":"GBP","value_usd":1704},"fwci":6.0295,"has_fulltext":false,"cited_by_count":37,"citation_normalized_percentile":{"value":0.96212149,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"3","issue":"3","first_page":"315","last_page":"324"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9998000264167786,"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":0.9998000264167786,"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/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9872000217437744,"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"}},{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9627000093460083,"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/topsis","display_name":"TOPSIS","score":0.8151521682739258},{"id":"https://openalex.org/keywords/tuple","display_name":"Tuple","score":0.71430504322052},{"id":"https://openalex.org/keywords/group-decision-making","display_name":"Group decision-making","score":0.6568822860717773},{"id":"https://openalex.org/keywords/closeness","display_name":"Closeness","score":0.612700343132019},{"id":"https://openalex.org/keywords/rule-based-machine-translation","display_name":"Rule-based machine translation","score":0.6037240028381348},{"id":"https://openalex.org/keywords/ideal","display_name":"Ideal (ethics)","score":0.5216134786605835},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.512691855430603},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.47037261724472046},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.45167723298072815},{"id":"https://openalex.org/keywords/weight","display_name":"Weight","score":0.4514268934726715},{"id":"https://openalex.org/keywords/ideal-solution","display_name":"Ideal solution","score":0.43740853667259216},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.42408260703086853},{"id":"https://openalex.org/keywords/linguistics","display_name":"Linguistics","score":0.4058012366294861},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.3242972791194916},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2979305386543274},{"id":"https://openalex.org/keywords/operations-research","display_name":"Operations research","score":0.17600589990615845},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.17348778247833252},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.07668590545654297},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.07569676637649536}],"concepts":[{"id":"https://openalex.org/C51566761","wikidata":"https://www.wikidata.org/wiki/Q1235853","display_name":"TOPSIS","level":2,"score":0.8151521682739258},{"id":"https://openalex.org/C118930307","wikidata":"https://www.wikidata.org/wiki/Q600590","display_name":"Tuple","level":2,"score":0.71430504322052},{"id":"https://openalex.org/C20701700","wikidata":"https://www.wikidata.org/wiki/Q388791","display_name":"Group decision-making","level":2,"score":0.6568822860717773},{"id":"https://openalex.org/C2779545769","wikidata":"https://www.wikidata.org/wiki/Q5135364","display_name":"Closeness","level":2,"score":0.612700343132019},{"id":"https://openalex.org/C53893814","wikidata":"https://www.wikidata.org/wiki/Q7378909","display_name":"Rule-based machine translation","level":2,"score":0.6037240028381348},{"id":"https://openalex.org/C2776639384","wikidata":"https://www.wikidata.org/wiki/Q840396","display_name":"Ideal (ethics)","level":2,"score":0.5216134786605835},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.512691855430603},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.47037261724472046},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.45167723298072815},{"id":"https://openalex.org/C183877218","wikidata":"https://www.wikidata.org/wiki/Q7979858","display_name":"Weight","level":3,"score":0.4514268934726715},{"id":"https://openalex.org/C89591040","wikidata":"https://www.wikidata.org/wiki/Q1779030","display_name":"Ideal solution","level":2,"score":0.43740853667259216},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.42408260703086853},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.4058012366294861},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.3242972791194916},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2979305386543274},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.17600589990615845},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.17348778247833252},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.07668590545654297},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.07569676637649536},{"id":"https://openalex.org/C51568863","wikidata":"https://www.wikidata.org/wiki/Q664495","display_name":"Lie algebra","level":2,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"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/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/18756891.2010.9727702","is_oa":true,"landing_page_url":"https://doi.org/10.1080/18756891.2010.9727702","pdf_url":null,"source":{"id":"https://openalex.org/S190680769","display_name":"International Journal of Computational Intelligence Systems","issn_l":"1875-6883","issn":["1875-6883","1875-6891"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computational Intelligence Systems","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1080/18756891.2010.9727702","is_oa":true,"landing_page_url":"https://doi.org/10.1080/18756891.2010.9727702","pdf_url":null,"source":{"id":"https://openalex.org/S190680769","display_name":"International Journal of Computational Intelligence Systems","issn_l":"1875-6883","issn":["1875-6883","1875-6891"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computational Intelligence Systems","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.8100000023841858,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W1971403896","https://openalex.org/W1985152658","https://openalex.org/W1986813400","https://openalex.org/W1986849065","https://openalex.org/W1988403082","https://openalex.org/W1995772906","https://openalex.org/W2005141229","https://openalex.org/W2038485525","https://openalex.org/W2059239932","https://openalex.org/W2064172572","https://openalex.org/W2093106032","https://openalex.org/W2104849961","https://openalex.org/W2111211679","https://openalex.org/W2117827905","https://openalex.org/W2125843991","https://openalex.org/W2134279276","https://openalex.org/W2161811621","https://openalex.org/W2304576809","https://openalex.org/W2506768821","https://openalex.org/W2774829855","https://openalex.org/W4240200017"],"related_works":["https://openalex.org/W2293394021","https://openalex.org/W2347675019","https://openalex.org/W2367947563","https://openalex.org/W2890644467","https://openalex.org/W2612149696","https://openalex.org/W2047025039","https://openalex.org/W4237248107","https://openalex.org/W2613305061","https://openalex.org/W1928481587","https://openalex.org/W2107523790"],"abstract_inverted_index":{"The":[0,131],"aim":[1],"of":[2,38,49,62],"this":[3],"paper":[4],"is":[5,28,83,166],"to":[6,44,107,155,163,168,201],"investigate":[7],"the":[8,23,32,36,46,50,59,67,74,78,109,115,156,159,164,191,203],"multiple":[9],"attribute":[10,26,33,68,81,110],"group":[11],"decision":[12],"making(MAGDM)":[13],"problems":[14,123],"with":[15,124],"2-":[16],"tuple":[17],"linguistic":[18,39,126,139,146,178,192],"assessment":[19,40,127],"information,":[20],"in":[21,177,190],"which":[22,66,103,187],"information":[24,79,128,179,183,193],"about":[25,80],"weights":[27,69,82],"incompletely":[29],"known,":[30],"and":[31,100,137,144,185],"values":[34],"take":[35],"form":[37],"information.":[41],"In":[42],"order":[43],"get":[45,97],"weight":[47],"vector":[48],"attribute,":[51],"we":[52,86,96],"establish":[53,87],"two":[54,98],"optimization":[55,90],"models":[56],"based":[57,113],"on":[58,114],"basic":[60],"ideal":[61,141,148],"traditional":[63],"TOPSIS,":[64],"by":[65],"can":[70,104],"be":[71,105],"determined.":[72],"For":[73],"special":[75],"situations":[76],"where":[77],"completely":[84],"unknown,":[85],"some":[88,196],"other":[89],"models.":[91],"By":[92],"solving":[93,121],"these":[94],"models,":[95],"simple":[99],"exact":[101,175],"formulas,":[102],"used":[106,200],"determine":[108],"weights.":[111],"Then,":[112,153],"TOPSIS":[116],"method,":[117],"calculation":[118],"steps":[119],"for":[120],"MAGDM":[122],"2-tuple":[125,138,145],"are":[129,151,199],"given.":[130],"weighted":[132,157],"distances":[133],"between":[134],"every":[135],"alternative":[136],"positive":[140],"solution":[142,149],"(TLPIS)":[143],"negative":[147],"(TLNIS)":[150],"calculated.":[152],"according":[154],"distances,":[158],"relative":[160],"closeness":[161],"degree":[162],"TLPIS":[165],"calculated":[167],"rank":[169],"all":[170],"alternatives.":[171],"These":[172],"methods":[173],"have":[174],"characteristic":[176],"processing.":[180,194],"They":[181],"avoided":[182],"distortion":[184],"losing":[186],"occur":[188],"formerly":[189],"Finally,":[195],"practical":[197],"examples":[198],"illustrate":[202],"developed":[204],"procedures.":[205]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":1}],"updated_date":"2026-03-06T13:50:29.536080","created_date":"2025-10-10T00:00:00"}
