{"id":"https://openalex.org/W3159753066","doi":"https://doi.org/10.1007/s40747-021-00372-3","title":"A 2-dimensional uncertain linguistic MABAC method for multiattribute group decision-making problems","display_name":"A 2-dimensional uncertain linguistic MABAC method for multiattribute group decision-making problems","publication_year":2021,"publication_date":"2021-05-03","ids":{"openalex":"https://openalex.org/W3159753066","doi":"https://doi.org/10.1007/s40747-021-00372-3","mag":"3159753066"},"language":"en","primary_location":{"id":"doi:10.1007/s40747-021-00372-3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s40747-021-00372-3","pdf_url":"https://link.springer.com/content/pdf/10.1007/s40747-021-00372-3.pdf","source":{"id":"https://openalex.org/S3035462843","display_name":"Complex & Intelligent Systems","issn_l":"2198-6053","issn":["2198-6053","2199-4536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complex & Intelligent Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://link.springer.com/content/pdf/10.1007/s40747-021-00372-3.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5089438496","display_name":"\u041f\u044d\u0439\u0434\u044d \u041b\u044e","orcid":"https://orcid.org/0000-0001-5048-8145"},"institutions":[{"id":"https://openalex.org/I59483232","display_name":"Shandong University of Finance and Economics","ror":"https://ror.org/02e2nnq08","country_code":"CN","type":"education","lineage":["https://openalex.org/I59483232"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Peide Liu","raw_affiliation_strings":["School of Management Science and Engineering, Shandong University of Finance and Economics, Jinan, 250014, Shandong, China"],"raw_orcid":"https://orcid.org/0000-0001-5048-8145","affiliations":[{"raw_affiliation_string":"School of Management Science and Engineering, Shandong University of Finance and Economics, Jinan, 250014, Shandong, China","institution_ids":["https://openalex.org/I59483232"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100343196","display_name":"Dongyang Wang","orcid":"https://orcid.org/0009-0007-4643-3492"},"institutions":[{"id":"https://openalex.org/I59483232","display_name":"Shandong University of Finance and Economics","ror":"https://ror.org/02e2nnq08","country_code":"CN","type":"education","lineage":["https://openalex.org/I59483232"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Dongyang Wang","raw_affiliation_strings":["School of Management Science and Engineering, Shandong University of Finance and Economics, Jinan, 250014, Shandong, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Management Science and Engineering, Shandong University of Finance and Economics, Jinan, 250014, Shandong, China","institution_ids":["https://openalex.org/I59483232"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5089438496"],"corresponding_institution_ids":["https://openalex.org/I59483232"],"apc_list":{"value":1320,"currency":"GBP","value_usd":1619},"apc_paid":{"value":1320,"currency":"GBP","value_usd":1619},"fwci":3.0514,"has_fulltext":true,"cited_by_count":19,"citation_normalized_percentile":{"value":0.9121505,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":99},"biblio":{"volume":"8","issue":"1","first_page":"349","last_page":"360"},"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":0.9865999817848206,"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":0.9429000020027161,"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/reliability","display_name":"Reliability (semiconductor)","score":0.6132655143737793},{"id":"https://openalex.org/keywords/computational-intelligence","display_name":"Computational intelligence","score":0.6018184423446655},{"id":"https://openalex.org/keywords/group-decision-making","display_name":"Group decision-making","score":0.5914831161499023},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.565902590751648},{"id":"https://openalex.org/keywords/aggregate","display_name":"Aggregate (composite)","score":0.5446322560310364},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.501772403717041},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4909258186817169},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.47457268834114075},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.4635652005672455},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4565138816833496},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.40674781799316406},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.34406498074531555},{"id":"https://openalex.org/keywords/operations-research","display_name":"Operations research","score":0.3420800566673279},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.24765822291374207},{"id":"https://openalex.org/keywords/psychology","display_name":"Psychology","score":0.12232258915901184},{"id":"https://openalex.org/keywords/social-psychology","display_name":"Social psychology","score":0.08870875835418701}],"concepts":[{"id":"https://openalex.org/C43214815","wikidata":"https://www.wikidata.org/wiki/Q7310987","display_name":"Reliability (semiconductor)","level":3,"score":0.6132655143737793},{"id":"https://openalex.org/C139502532","wikidata":"https://www.wikidata.org/wiki/Q1122090","display_name":"Computational intelligence","level":2,"score":0.6018184423446655},{"id":"https://openalex.org/C20701700","wikidata":"https://www.wikidata.org/wiki/Q388791","display_name":"Group decision-making","level":2,"score":0.5914831161499023},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.565902590751648},{"id":"https://openalex.org/C4679612","wikidata":"https://www.wikidata.org/wiki/Q866298","display_name":"Aggregate (composite)","level":2,"score":0.5446322560310364},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.501772403717041},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4909258186817169},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.47457268834114075},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.4635652005672455},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4565138816833496},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.40674781799316406},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.34406498074531555},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.3420800566673279},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.24765822291374207},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.12232258915901184},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.08870875835418701},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"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/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"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:10.1007/s40747-021-00372-3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s40747-021-00372-3","pdf_url":"https://link.springer.com/content/pdf/10.1007/s40747-021-00372-3.pdf","source":{"id":"https://openalex.org/S3035462843","display_name":"Complex & Intelligent Systems","issn_l":"2198-6053","issn":["2198-6053","2199-4536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complex & Intelligent Systems","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s40747-021-00372-3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s40747-021-00372-3","pdf_url":"https://link.springer.com/content/pdf/10.1007/s40747-021-00372-3.pdf","source":{"id":"https://openalex.org/S3035462843","display_name":"Complex & Intelligent Systems","issn_l":"2198-6053","issn":["2198-6053","2199-4536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complex & Intelligent Systems","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.8100000023841858}],"awards":[{"id":"https://openalex.org/G5848493753","display_name":null,"funder_award_id":"19ZDA080","funder_id":"https://openalex.org/F4320327557","funder_display_name":"National Office for Philosophy and Social Sciences"},{"id":"https://openalex.org/G7345124094","display_name":null,"funder_award_id":"71771140","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320327557","display_name":"National Office for Philosophy and Social Sciences","ror":"https://ror.org/04m0ms912"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3159753066.pdf","grobid_xml":"https://content.openalex.org/works/W3159753066.grobid-xml"},"referenced_works_count":50,"referenced_works":["https://openalex.org/W1643887156","https://openalex.org/W1967243514","https://openalex.org/W1971076337","https://openalex.org/W1976567794","https://openalex.org/W2004700754","https://openalex.org/W2033401964","https://openalex.org/W2034563113","https://openalex.org/W2041240839","https://openalex.org/W2042766939","https://openalex.org/W2051527699","https://openalex.org/W2061016129","https://openalex.org/W2089566979","https://openalex.org/W2151598578","https://openalex.org/W2158633335","https://openalex.org/W2167510151","https://openalex.org/W2189718286","https://openalex.org/W2377610775","https://openalex.org/W2461949262","https://openalex.org/W2527615072","https://openalex.org/W2527889636","https://openalex.org/W2574155231","https://openalex.org/W2728524411","https://openalex.org/W2748250791","https://openalex.org/W2761539206","https://openalex.org/W2761591015","https://openalex.org/W2765614740","https://openalex.org/W2768841407","https://openalex.org/W2789612734","https://openalex.org/W2793999624","https://openalex.org/W2799634476","https://openalex.org/W2803288599","https://openalex.org/W2865740383","https://openalex.org/W2893488791","https://openalex.org/W2903280139","https://openalex.org/W2904394277","https://openalex.org/W2906775815","https://openalex.org/W2910163167","https://openalex.org/W2911314598","https://openalex.org/W2912214273","https://openalex.org/W2919378363","https://openalex.org/W2949943933","https://openalex.org/W2950636670","https://openalex.org/W2953049542","https://openalex.org/W2963635008","https://openalex.org/W2997664488","https://openalex.org/W3003773297","https://openalex.org/W3010623202","https://openalex.org/W3012036790","https://openalex.org/W3012582342","https://openalex.org/W3036782041"],"related_works":["https://openalex.org/W2151097448","https://openalex.org/W2796809906","https://openalex.org/W2232781361","https://openalex.org/W2348660983","https://openalex.org/W2286890209","https://openalex.org/W2913148204","https://openalex.org/W2783289700","https://openalex.org/W1976254693","https://openalex.org/W2384801745","https://openalex.org/W2369673506"],"abstract_inverted_index":{"Abstract":[0],"The":[1],"2-dimensional":[2],"uncertain":[3],"linguistic":[4],"variable":[5],"(2DULV)":[6],"can":[7],"depict":[8],"decision-makers\u2019":[9],"subjective":[10,93],"assessments":[11],"on":[12],"the":[13,49,63,67,74,92,99,104,110,115,127,151,154],"reliability":[14],"of":[15,52,60,66,88,153],"given":[16,130],"evaluation":[17,77,128],"results,":[18],"which":[19,91],"is":[20,54,80,123,141,146],"a":[21],"valid":[22],"and":[23,62,103,143],"practical":[24],"tool":[25],"to":[26,41,82,84,98,125,149],"express":[27],"decision":[28],"information.":[29],"In":[30],"this":[31],"study,":[32],"we":[33],"develop":[34],"an":[35,135,144],"improved":[36,136],"MABAC":[37,68,137],"method":[38,69,79,101],"with":[39],"2DULVs":[40,61,83,121,139],"handle":[42],"multiattribute":[43],"group":[44],"decision-making":[45],"(MAGDM)":[46],"problems":[47],"where":[48],"weight":[50],"information":[51,129],"attributes":[53],"unknown.":[55],"First,":[56],"some":[57],"related":[58],"theories":[59],"basic":[64],"procedure":[65],"are":[70,95,107],"briefly":[71],"reviewed.":[72],"Then,":[73],"maximum":[75,111],"comprehensive":[76],"value":[78],"extended":[81],"obtain":[85],"combination":[86],"weights":[87,94,106],"attributes,":[89],"in":[90],"determined":[96],"according":[97],"best\u2013worst":[100],"(BWM)":[102],"objective":[105],"calculated":[108],"by":[109,131],"deviation":[112],"method.":[113],"Besides,":[114],"generalized":[116],"weighted":[117],"average":[118],"operator":[119],"for":[120,138],"(2DULGWA)":[122],"utilized":[124],"aggregate":[126],"all":[132],"experts.":[133],"Finally,":[134],"(2DUL-MABAC)":[140],"proposed,":[142],"example":[145],"carried":[147],"out":[148],"explain":[150],"validity":[152],"proposed":[155],"approach.":[156]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":8},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}