{"id":"https://openalex.org/W4408764732","doi":"https://doi.org/10.1007/s40747-025-01844-6","title":"The opinion dynamics model for group decision making with probabilistic uncertain linguistic information","display_name":"The opinion dynamics model for group decision making with probabilistic uncertain linguistic information","publication_year":2025,"publication_date":"2025-03-22","ids":{"openalex":"https://openalex.org/W4408764732","doi":"https://doi.org/10.1007/s40747-025-01844-6"},"language":"en","primary_location":{"id":"doi:10.1007/s40747-025-01844-6","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s40747-025-01844-6","pdf_url":"https://link.springer.com/content/pdf/10.1007/s40747-025-01844-6.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-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","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/s40747-025-01844-6.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Jianping Fan","orcid":null},"institutions":[{"id":"https://openalex.org/I181877577","display_name":"Shanxi University","ror":"https://ror.org/03y3e3s17","country_code":"CN","type":"education","lineage":["https://openalex.org/I181877577"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jianping Fan","raw_affiliation_strings":["School of Economics and Management, Shanxi University, Taiyuan, 030006, Shanxi Provence, China"],"affiliations":[{"raw_affiliation_string":"School of Economics and Management, Shanxi University, Taiyuan, 030006, Shanxi Provence, China","institution_ids":["https://openalex.org/I181877577"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082483360","display_name":"Zhuxuan Jin","orcid":null},"institutions":[{"id":"https://openalex.org/I181877577","display_name":"Shanxi University","ror":"https://ror.org/03y3e3s17","country_code":"CN","type":"education","lineage":["https://openalex.org/I181877577"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhuxuan Jin","raw_affiliation_strings":["School of Economics and Management, Shanxi University, Taiyuan, 030006, Shanxi Provence, China"],"affiliations":[{"raw_affiliation_string":"School of Economics and Management, Shanxi University, Taiyuan, 030006, Shanxi Provence, China","institution_ids":["https://openalex.org/I181877577"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5077270067","display_name":"Meiqin Wu","orcid":"https://orcid.org/0000-0001-6126-1122"},"institutions":[{"id":"https://openalex.org/I181877577","display_name":"Shanxi University","ror":"https://ror.org/03y3e3s17","country_code":"CN","type":"education","lineage":["https://openalex.org/I181877577"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Meiqin Wu","raw_affiliation_strings":["School of Economics and Management, Shanxi University, Taiyuan, 030006, Shanxi Provence, China"],"affiliations":[{"raw_affiliation_string":"School of Economics and Management, Shanxi University, Taiyuan, 030006, Shanxi Provence, China","institution_ids":["https://openalex.org/I181877577"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I181877577"],"apc_list":{"value":1320,"currency":"GBP","value_usd":1619},"apc_paid":{"value":1320,"currency":"GBP","value_usd":1619},"fwci":7.7474,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.96747933,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":99},"biblio":{"volume":"11","issue":"5","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9932000041007996,"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":0.9932000041007996,"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/T12805","display_name":"Cognitive Science and Mapping","score":0.9452000260353088,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/probabilistic-logic","display_name":"Probabilistic logic","score":0.6933521032333374},{"id":"https://openalex.org/keywords/group-decision-making","display_name":"Group decision-making","score":0.6810665130615234},{"id":"https://openalex.org/keywords/computational-intelligence","display_name":"Computational intelligence","score":0.6443778872489929},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.6116968393325806},{"id":"https://openalex.org/keywords/linguistics","display_name":"Linguistics","score":0.5682436227798462},{"id":"https://openalex.org/keywords/dynamics","display_name":"Dynamics (music)","score":0.5465114712715149},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.453143447637558},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4003937542438507},{"id":"https://openalex.org/keywords/natural-language-processing","display_name":"Natural language processing","score":0.35446035861968994},{"id":"https://openalex.org/keywords/management-science","display_name":"Management science","score":0.3527940511703491},{"id":"https://openalex.org/keywords/psychology","display_name":"Psychology","score":0.33767518401145935},{"id":"https://openalex.org/keywords/social-psychology","display_name":"Social psychology","score":0.162941575050354},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.14165213704109192},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09929904341697693},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.07067441940307617}],"concepts":[{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.6933521032333374},{"id":"https://openalex.org/C20701700","wikidata":"https://www.wikidata.org/wiki/Q388791","display_name":"Group decision-making","level":2,"score":0.6810665130615234},{"id":"https://openalex.org/C139502532","wikidata":"https://www.wikidata.org/wiki/Q1122090","display_name":"Computational intelligence","level":2,"score":0.6443778872489929},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.6116968393325806},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.5682436227798462},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.5465114712715149},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.453143447637558},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4003937542438507},{"id":"https://openalex.org/C204321447","wikidata":"https://www.wikidata.org/wiki/Q30642","display_name":"Natural language processing","level":1,"score":0.35446035861968994},{"id":"https://openalex.org/C539667460","wikidata":"https://www.wikidata.org/wiki/Q2414942","display_name":"Management science","level":1,"score":0.3527940511703491},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.33767518401145935},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.162941575050354},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.14165213704109192},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09929904341697693},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.07067441940307617},{"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/C19417346","wikidata":"https://www.wikidata.org/wiki/Q7922","display_name":"Pedagogy","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s40747-025-01844-6","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s40747-025-01844-6","pdf_url":"https://link.springer.com/content/pdf/10.1007/s40747-025-01844-6.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-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complex & Intelligent Systems","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:e4041bc2e9dc4492858ed3aefdb849b8","is_oa":true,"landing_page_url":"https://doaj.org/article/e4041bc2e9dc4492858ed3aefdb849b8","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Complex & Intelligent Systems, Vol 11, Iss 5, Pp 1-22 (2025)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1007/s40747-025-01844-6","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s40747-025-01844-6","pdf_url":"https://link.springer.com/content/pdf/10.1007/s40747-025-01844-6.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-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complex & Intelligent Systems","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.7200000286102295,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4408764732.pdf"},"referenced_works_count":86,"referenced_works":["https://openalex.org/W31782","https://openalex.org/W385466589","https://openalex.org/W1020659046","https://openalex.org/W1848913839","https://openalex.org/W1967243514","https://openalex.org/W1978062397","https://openalex.org/W1979112316","https://openalex.org/W1993747418","https://openalex.org/W2013661501","https://openalex.org/W2019443512","https://openalex.org/W2031523830","https://openalex.org/W2050920881","https://openalex.org/W2060907774","https://openalex.org/W2071657601","https://openalex.org/W2076452041","https://openalex.org/W2114747139","https://openalex.org/W2206385896","https://openalex.org/W2259660946","https://openalex.org/W2418380392","https://openalex.org/W2474884296","https://openalex.org/W2506768821","https://openalex.org/W2509781130","https://openalex.org/W2521916391","https://openalex.org/W2534090929","https://openalex.org/W2593995542","https://openalex.org/W2767077585","https://openalex.org/W2806437363","https://openalex.org/W2884023712","https://openalex.org/W2901435174","https://openalex.org/W2972878307","https://openalex.org/W2996521213","https://openalex.org/W3104530023","https://openalex.org/W3157288788","https://openalex.org/W3201719626","https://openalex.org/W3206142154","https://openalex.org/W4205451601","https://openalex.org/W4211007335","https://openalex.org/W4220924673","https://openalex.org/W4226305299","https://openalex.org/W4245152641","https://openalex.org/W4296691910","https://openalex.org/W4308443008","https://openalex.org/W4313256956","https://openalex.org/W4313477302","https://openalex.org/W4313877306","https://openalex.org/W4315643679","https://openalex.org/W4323671061","https://openalex.org/W4362551500","https://openalex.org/W4366987705","https://openalex.org/W4368240987","https://openalex.org/W4382197932","https://openalex.org/W4386527943","https://openalex.org/W4387556851","https://openalex.org/W4388557926","https://openalex.org/W4388626353","https://openalex.org/W4388775827","https://openalex.org/W4388948874","https://openalex.org/W4389369962","https://openalex.org/W4389513972","https://openalex.org/W4389671459","https://openalex.org/W4389937714","https://openalex.org/W4390428283","https://openalex.org/W4390480809","https://openalex.org/W4390639785","https://openalex.org/W4390978986","https://openalex.org/W4391065403","https://openalex.org/W4391520993","https://openalex.org/W4391589352","https://openalex.org/W4392366253","https://openalex.org/W4392791895","https://openalex.org/W4392938334","https://openalex.org/W4393094803","https://openalex.org/W4393164356","https://openalex.org/W4394014102","https://openalex.org/W4394793335","https://openalex.org/W4394807700","https://openalex.org/W4394841351","https://openalex.org/W4395017282","https://openalex.org/W4396757576","https://openalex.org/W4396947529","https://openalex.org/W4397042034","https://openalex.org/W4400310990","https://openalex.org/W4400447483","https://openalex.org/W4400737873","https://openalex.org/W4401644898","https://openalex.org/W4406489772"],"related_works":["https://openalex.org/W2943623134","https://openalex.org/W2494523064","https://openalex.org/W2215759665","https://openalex.org/W2030292806","https://openalex.org/W2960358116","https://openalex.org/W2938171715","https://openalex.org/W4287727129","https://openalex.org/W3041172967","https://openalex.org/W2749065928","https://openalex.org/W2147155098"],"abstract_inverted_index":{"Multi-criteria":[0],"group":[1,25,29,58,128,160,200],"decision":[2],"making":[3],"(MCGDM)":[4],"is":[5,106,124,137,207,213],"the":[6,50,64,89,94,110,114,134,141,145,172,196,203,210],"important":[7,35],"part":[8],"in":[9,16,27,83,144,186],"decision-making":[10,30],"process,":[11],"which":[12,68],"has":[13,32],"been":[14],"used":[15],"many":[17],"industries.":[18],"Coordinating":[19],"differing":[20],"opinions":[21],"and":[22,55,79,96,116,199,209,218],"ultimately":[23],"reaching":[24,60,130],"consensus":[26,59,129],"a":[28,57,117,127,152,179,187],"process":[31,147],"become":[33],"an":[34,103,164,205],"area":[36],"of":[37,52,113,195],"research.":[38],"This":[39],"paper":[40,177],"uses":[41],"probabilistic":[42,118],"uncertain":[43,119],"linguistic":[44,120],"term":[45],"sets":[46],"(PULTSs)":[47],"to":[48,99,139],"express":[49],"uncertainty":[51],"evaluation":[53],"information,":[54],"proposes":[56,151,178],"method":[61,131],"based":[62,108,132,170],"on":[63,109,133,171],"opinion":[65],"dynamics":[66],"model":[67,122,136],"exhaustively":[69],"considers":[70],"how":[71],"decision-makers\u2019":[72],"(DMs)":[73],"viewpoints":[74],"can":[75],"influence":[76,104],"each":[77],"other":[78],"evolve":[80],"over":[81],"time":[82],"MCGDM":[84],"environments.":[85],"First,":[86],"we":[87,150,162],"gathers":[88],"group\u2019s":[90],"preference":[91],"information":[92],"regarding":[93],"alternatives":[95],"their":[97],"stubbornness":[98],"peer":[100],"influence.":[101],"Next,":[102],"matrix":[105],"determined":[107],"authority":[111],"index":[112],"DMs,":[115],"Friedkin\u2013Johnsen":[121],"(PUL-FJ)":[123],"constructed.":[125],"Then,":[126],"PUL-Friedkin-Johnsen":[135],"proposed":[138],"address":[140],"feedback":[142],"mechanism":[143],"consensus-reaching":[146],"(CRP).":[148],"Finally,":[149],"novel":[153],"approach":[154,181],"for":[155,182],"ranking.":[156],"To":[157],"better":[158],"achieve":[159],"decision-making,":[161],"constructs":[163],"improved":[165],"PUL":[166],"similarity":[167],"measure":[168],"that":[169,191],"Wasserstein":[173],"distance.":[174],"Additionally,":[175],"this":[176],"new":[180],"expert":[183,189],"weight,":[184],"resulting":[185],"comprehensive":[188],"weight":[190],"balances":[192],"individual":[193],"expertise":[194],"different":[197],"criteria":[198],"consensus.":[201],"In":[202],"end,":[204],"example":[206],"provided,":[208],"method\u2019s":[211],"feasibility":[212],"validated":[214],"through":[215],"sensitivity":[216],"analysis":[217],"comparative":[219],"analysis.":[220]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":2}],"updated_date":"2026-04-17T18:11:37.981687","created_date":"2025-10-10T00:00:00"}