{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,29]],"date-time":"2026-03-29T06:36:08Z","timestamp":1774766168711,"version":"3.50.1"},"reference-count":43,"publisher":"Springer Science and Business Media LLC","issue":"5","license":[{"start":{"date-parts":[[2021,11,29]],"date-time":"2021-11-29T00:00:00Z","timestamp":1638144000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2021,11,29]],"date-time":"2021-11-29T00:00:00Z","timestamp":1638144000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["71971217"],"award-info":[{"award-number":["71971217"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["72091515"],"award-info":[{"award-number":["72091515"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["72073041"],"award-info":[{"award-number":["72073041"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100010083","name":"Hunan Provincial Innovation Foundation for Postgraduate","doi-asserted-by":"publisher","award":["CX20200143"],"award-info":[{"award-number":["CX20200143"]}],"id":[{"id":"10.13039\/501100010083","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Independent Exploration of Innovation Project for Postgraduate of Central South University","award":["2020zzts014"],"award-info":[{"award-number":["2020zzts014"]}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Soft Comput"],"published-print":{"date-parts":[[2022,3]]},"DOI":"10.1007\/s00500-021-06538-y","type":"journal-article","created":{"date-parts":[[2021,11,29]],"date-time":"2021-11-29T19:02:49Z","timestamp":1638212569000},"page":"2451-2463","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":13,"title":["A clustering and fusion method for large group decision making with double information and heterogeneous experts"],"prefix":"10.1007","volume":"26","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-4601-6270","authenticated-orcid":false,"given":"Xiangyu","family":"Zhong","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xuanhua","family":"Xu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xiaohong","family":"Chen","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2021,11,29]]},"reference":[{"issue":"1","key":"6538_CR1","doi-asserted-by":"publisher","first-page":"271","DOI":"10.1016\/j.ejor.2020.05.047","volume":"288","author":"X Chao","year":"2021","unstructured":"Chao X, Kou G, Peng Y, Viedma EH (2021) Large-scale group decision-making with non-cooperative behaviors and heterogeneous preferences: an application in financial inclusion. Eur J Oper Res 288(1):271\u2013293","journal-title":"Eur J Oper Res"},{"key":"6538_CR2","doi-asserted-by":"publisher","first-page":"43","DOI":"10.1016\/j.eswa.2018.03.013","volume":"104","author":"Z Chen","year":"2018","unstructured":"Chen Z, Mart\u00ednez L, Chin K, Tsui K (2018) Two-stage aggregation paradigm for HFLTS possibility distributions: a hierarchical clustering perspective. Expert Syst Appl 104:43\u201366","journal-title":"Expert Syst Appl"},{"key":"6538_CR3","doi-asserted-by":"publisher","first-page":"98","DOI":"10.1016\/j.inffus.2020.02.005","volume":"60","author":"J Chu","year":"2020","unstructured":"Chu J, Wang Y, Liu X, Liu Y (2020) Social network community analysis based large-scale group decision making approach with incomplete fuzzy preference relations. Inf Fusion 60:98\u2013120","journal-title":"Inf Fusion"},{"key":"6538_CR4","doi-asserted-by":"publisher","first-page":"101","DOI":"10.1016\/j.cie.2016.12.025","volume":"105","author":"B Dey","year":"2017","unstructured":"Dey B, Bairagi B, Sarkar B, Sanyal SK (2017) Group heterogeneity in multi member decision making model with an application to warehouse location selection in a supply chain. Comput Ind Eng 105:101\u2013122","journal-title":"Comput Ind Eng"},{"key":"6538_CR5","doi-asserted-by":"publisher","first-page":"3","DOI":"10.1016\/j.knosys.2018.06.036","volume":"162","author":"Y Dong","year":"2018","unstructured":"Dong Y, Zha Q, Zhang H, Kou G, Fujita H, Chiclana F, Herrera-Viedma E (2018) Consensus reaching in social network group decision making: research paradigms and challenges. Knowl-Based Syst 162:3\u201313","journal-title":"Knowl-Based Syst"},{"key":"6538_CR6","doi-asserted-by":"publisher","first-page":"13","DOI":"10.1016\/j.inffus.2020.05.004","volume":"63","author":"Z Du","year":"2020","unstructured":"Du Z, Luo H, Lin X, Yu S (2020) A trust-similarity analysis-based clustering method for large-scale group decision-making under a social network. Inf Fusion 63:13\u201329","journal-title":"Inf Fusion"},{"key":"6538_CR7","unstructured":"Hao J, Zhu J (2015) Clustering method based on dual linguistic information fusion considering group classification preference. Control Decis (06):1044\u20131052"},{"key":"6538_CR8","unstructured":"Hao J, Zhu J, Liu S (2014) Multi-stage decision model for aggregating dual linguistic evaluation information. Control and Decis (01):99\u2013106"},{"issue":"1","key":"6538_CR9","doi-asserted-by":"publisher","first-page":"176","DOI":"10.1109\/TSMCB.2006.875872","volume":"37","author":"E Herrera-Viedma","year":"2007","unstructured":"Herrera-Viedma E, Chiclana F, Herrera F, Alonso S (2007) Group decision-making model with incomplete fuzzy preference relations based on additive consistency. IEEE Trans Syst Man Cybern Part B (cybernetics) 37(1):176\u2013189","journal-title":"IEEE Trans Syst Man Cybern Part B (cybernetics)"},{"key":"6538_CR10","doi-asserted-by":"publisher","first-page":"677","DOI":"10.1016\/j.asoc.2017.05.045","volume":"67","author":"\u00c1 Labella","year":"2018","unstructured":"Labella \u00c1, Liu Y, Rodr\u00edguez RM, Mart\u00ednez L (2018) Analyzing the performance of classical consensus models in large scale group decision making: a comparative study. Appl Soft Comput 67:677\u2013690","journal-title":"Appl Soft Comput"},{"key":"6538_CR11","doi-asserted-by":"publisher","first-page":"119","DOI":"10.1016\/j.inffus.2013.06.004","volume":"18","author":"B Liu","year":"2014","unstructured":"Liu B, Shen Y, Chen X, Chen Y, Wang X (2014) A partial binary tree DEA-DA cyclic classification model for decision makers in complex multi-attribute large-group interval-valued intuitionistic fuzzy decision-making problems. Inf Fusion 18:119\u2013130","journal-title":"Inf Fusion"},{"issue":"2","key":"6538_CR12","doi-asserted-by":"publisher","first-page":"737","DOI":"10.1016\/j.ejor.2018.11.075","volume":"275","author":"B Liu","year":"2019","unstructured":"Liu B, Zhou Q, Ding R, Palomares I, Herrera F (2019) Large-scale group decision making model based on social network analysis: Trust relationship-based conflict detection and elimination. Eur J Oper Res 275(2):737\u2013754","journal-title":"Eur J Oper Res"},{"key":"6538_CR13","doi-asserted-by":"publisher","first-page":"231","DOI":"10.1016\/j.inffus.2019.02.001","volume":"50","author":"Z Ma","year":"2019","unstructured":"Ma Z, Zhu J, Ponnambalam K, Zhang S (2019) A clustering method for large-scale group decision-making with multi-stage hesitant fuzzy linguistic terms. Inf Fusion 50:231\u2013250","journal-title":"Inf Fusion"},{"issue":"3","key":"6538_CR14","doi-asserted-by":"publisher","first-page":"155","DOI":"10.1016\/0165-0114(78)90001-5","volume":"1","author":"SA Orlovsky","year":"1978","unstructured":"Orlovsky SA (1978) Decision-making with a fuzzy preference relation. Fuzzy Set Syst 1(3):155\u2013167","journal-title":"Fuzzy Set Syst"},{"issue":"3","key":"6538_CR15","doi-asserted-by":"publisher","first-page":"309","DOI":"10.1016\/0377-2217(89)90423-2","volume":"40","author":"M Roubens","year":"1989","unstructured":"Roubens M (1989) Some properties of choice functions based on valued binary relations. Eur J Oper Res 40(3):309\u2013321","journal-title":"Eur J Oper Res"},{"issue":"1","key":"6538_CR16","doi-asserted-by":"publisher","first-page":"28","DOI":"10.1016\/S0377-2217(99)00319-7","volume":"127","author":"A Sengupta","year":"2000","unstructured":"Sengupta A, Pal TK (2000) On comparing interval numbers. Eur J Oper Res 127(1):28\u201343","journal-title":"Eur J Oper Res"},{"key":"6538_CR17","doi-asserted-by":"publisher","first-page":"712","DOI":"10.1016\/j.asoc.2019.04.036","volume":"80","author":"Y Song","year":"2019","unstructured":"Song Y, Hu J (2019) Large-scale group decision making with multiple stakeholders based on probabilistic linguistic preference relation. Appl Soft Comput 80:712\u2013722","journal-title":"Appl Soft Comput"},{"key":"6538_CR18","doi-asserted-by":"publisher","first-page":"62","DOI":"10.1016\/j.knosys.2019.05.019","volume":"180","author":"M Tang","year":"2019","unstructured":"Tang M, Zhou X, Liao H, Xu J, Fujita H, Herrera F (2019) Ordinal consensus measure with objective threshold for heterogeneous large-scale group decision making. Knowl-Based Syst 180:62\u201374","journal-title":"Knowl-Based Syst"},{"issue":"2","key":"6538_CR19","doi-asserted-by":"publisher","first-page":"117","DOI":"10.1016\/0165-0114(84)90032-0","volume":"12","author":"T Tanino","year":"1984","unstructured":"Tanino T (1984) Fuzzy preference orderings in group decision making. Fuzzy Set Syst 12(2):117\u2013131","journal-title":"Fuzzy Set Syst"},{"issue":"4","key":"6538_CR20","doi-asserted-by":"publisher","first-page":"371","DOI":"10.1037\/h0047169","volume":"60","author":"EJ Thomas","year":"1963","unstructured":"Thomas EJ, Fink CF (1963) Effects of group size. Psychol Bull 60(4):371\u2013384","journal-title":"Psychol Bull"},{"key":"6538_CR21","doi-asserted-by":"publisher","first-page":"446","DOI":"10.1016\/j.ins.2019.06.053","volume":"502","author":"Z Tian","year":"2019","unstructured":"Tian Z, Nie R, Wang J (2019) Social network analysis-based consensus-supporting framework for large-scale group decision-making with incomplete interval type-2 fuzzy information. Inf Sci 502:446\u2013471","journal-title":"Inf Sci"},{"key":"6538_CR22","doi-asserted-by":"publisher","first-page":"106285","DOI":"10.1016\/j.cie.2020.106285","volume":"141","author":"S Wan","year":"2020","unstructured":"Wan S, Zou W, Dong J (2020) Prospect theory based method for heterogeneous group decision making with hybrid truth degrees of alternative comparisons. Comput Ind Eng 141:106285","journal-title":"Comput Ind Eng"},{"issue":"6","key":"6538_CR23","doi-asserted-by":"publisher","first-page":"3314","DOI":"10.1109\/TFUZZ.2018.2822242","volume":"26","author":"P Wang","year":"2018","unstructured":"Wang P, Xu X, Huang S, Cai C (2018) A linguistic large group decision making method based on the cloud model. IEEE Trans Fuzzy Syst 26(6):3314\u20133326","journal-title":"IEEE Trans Fuzzy Syst"},{"key":"6538_CR24","doi-asserted-by":"publisher","first-page":"619","DOI":"10.1007\/s10726-019-09615-8","volume":"28","author":"P Wang","year":"2019","unstructured":"Wang P, Xu X, Huang S (2019) An improved consensus-based model for large group decision making problems considering experts with linguistic weighted information. Group Decis Negot 28:619","journal-title":"Group Decis Negot"},{"key":"6538_CR25","unstructured":"Weick KE (1979) The social psychology of organizing. Johnson Graduate School of Management, Cornell University"},{"key":"6538_CR26","doi-asserted-by":"publisher","first-page":"217","DOI":"10.1016\/j.inffus.2017.09.011","volume":"41","author":"Z Wu","year":"2018","unstructured":"Wu Z, Xu J (2018) A consensus model for large-scale group decision making with hesitant fuzzy information and changeable clusters. Inf Fusion 41:217\u2013231","journal-title":"Inf Fusion"},{"key":"6538_CR27","doi-asserted-by":"publisher","first-page":"632","DOI":"10.1016\/j.knosys.2018.09.024","volume":"163","author":"T Wu","year":"2019","unstructured":"Wu T, Zhang K, Liu X, Cao C (2019) A two-stage social trust network partition model for large-scale group decision-making problems. Knowl-Based Syst 163:632\u2013643","journal-title":"Knowl-Based Syst"},{"issue":"6","key":"6538_CR28","doi-asserted-by":"publisher","first-page":"569","DOI":"10.1002\/int.10038","volume":"17","author":"ZS Xu","year":"2002","unstructured":"Xu ZS, Da QL (2002) The uncertain OWA operator. Int J Intell Syst 17(6):569\u2013575","journal-title":"Int J Intell Syst"},{"issue":"13","key":"6538_CR29","doi-asserted-by":"publisher","first-page":"4987","DOI":"10.1007\/s00500-018-3162-5","volume":"23","author":"X Xu","year":"2019","unstructured":"Xu X, Luo X (2019) Information entropy risk measure applied to large group decision-making method. Soft Comput 23(13):4987\u20134997","journal-title":"Soft Comput"},{"issue":"19","key":"6538_CR30","doi-asserted-by":"publisher","first-page":"3775","DOI":"10.1016\/j.ins.2008.06.008","volume":"178","author":"Z Xu","year":"2008","unstructured":"Xu Z, Chen J, Wu J (2008) Clustering algorithm for intuitionistic fuzzy sets. Inf Sci 178(19):3775\u20133790","journal-title":"Inf Sci"},{"key":"6538_CR31","doi-asserted-by":"publisher","first-page":"62","DOI":"10.1016\/j.fss.2013.08.001","volume":"246","author":"Y Xu","year":"2014","unstructured":"Xu Y, Gupta JND, Wang H (2014) The ordinal consistency of an incomplete reciprocal preference relation. Fuzzy Sets Syst 246:62\u201377","journal-title":"Fuzzy Sets Syst"},{"key":"6538_CR32","doi-asserted-by":"publisher","first-page":"150","DOI":"10.1016\/j.dss.2015.08.009","volume":"79","author":"X Xu","year":"2015","unstructured":"Xu X, Du Z, Chen X (2015a) Consensus model for multi-criteria large-group emergency decision making considering non-cooperative behaviors and minority opinions. Decis Support Syst 79:150\u2013160","journal-title":"Decis Support Syst"},{"key":"6538_CR33","doi-asserted-by":"publisher","first-page":"237","DOI":"10.1016\/j.knosys.2015.06.006","volume":"86","author":"X Xu","year":"2015","unstructured":"Xu X, Zhong X, Chen X, Zhou Y (2015b) A dynamical consensus method based on exit\u2013delegation mechanism for large group emergency decision making. Knowl-Based Syst 86:237\u2013249","journal-title":"Knowl-Based Syst"},{"issue":"7","key":"6538_CR34","doi-asserted-by":"publisher","first-page":"1141","DOI":"10.1007\/s13042-017-0637-0","volume":"9","author":"Y Xu","year":"2018","unstructured":"Xu Y, Liu X, Wang H (2018) The additive consistency measure of fuzzy reciprocal preference relations. Int J Mach Learn Cybern 9(7):1141\u20131152","journal-title":"Int J Mach Learn Cybern"},{"key":"6538_CR35","doi-asserted-by":"publisher","first-page":"410","DOI":"10.1016\/j.ins.2018.10.058","volume":"477","author":"X Xu","year":"2019","unstructured":"Xu X, Du Z, Chen X, Cai C (2019) Confidence consensus-based model for large-scale group decision making: a novel approach to managing non-cooperative behaviors. Inf Sci 477:410\u2013427","journal-title":"Inf Sci"},{"key":"6538_CR36","doi-asserted-by":"publisher","first-page":"16869","DOI":"10.1007\/s00500-020-04981-x","volume":"24","author":"X Xu","year":"2020","unstructured":"Xu X, Hou Y, He J, Zhang Z (2020) A two-stage similarity clustering-based large group decision-making method with incomplete probabilistic linguistic evaluation information. Soft Comput 24:16869","journal-title":"Soft Comput"},{"issue":"2","key":"6538_CR37","doi-asserted-by":"publisher","first-page":"884","DOI":"10.1109\/TFUZZ.2017.2697403","volume":"26","author":"H Zhang","year":"2018","unstructured":"Zhang H, Dong Y, Herrera-Viedma E (2018) Consensus building for the heterogeneous large-scale GDM with the individual concerns and satisfactions. IEEE Ttans Fuzzy Syst 26(2):884\u2013898","journal-title":"IEEE Ttans Fuzzy Syst"},{"key":"6538_CR38","doi-asserted-by":"publisher","first-page":"71","DOI":"10.1016\/j.ins.2019.09.002","volume":"509","author":"Z Zhang","year":"2020","unstructured":"Zhang Z, Chen S, Wang C (2020) Group decision making based on multiplicative consistency and consensus of fuzzy linguistic preference relations. Inf Sci 509:71\u201386","journal-title":"Inf Sci"},{"key":"6538_CR39","doi-asserted-by":"publisher","first-page":"105973","DOI":"10.1016\/j.asoc.2019.105973","volume":"87","author":"X Zhong","year":"2020","unstructured":"Zhong X, Xu X (2020) Clustering-based method for large group decision making with hesitant fuzzy linguistic information: Integrating correlation and consensus. Appl Soft Comput 87:105973","journal-title":"Appl Soft Comput"},{"key":"6538_CR40","doi-asserted-by":"publisher","first-page":"120","DOI":"10.1016\/j.ins.2020.04.003","volume":"533","author":"X Zhong","year":"2020","unstructured":"Zhong X, Xu X, Chen X, Goh M (2020) Large group decision-making incorporating decision risk and risk attitude: a statistical approach. Inf Sci 533:120\u2013137","journal-title":"Inf Sci"},{"key":"6538_CR41","doi-asserted-by":"publisher","first-page":"107443","DOI":"10.1016\/j.cie.2021.107443","volume":"158","author":"X Zhong","year":"2021","unstructured":"Zhong X, Xu X, Yin X (2021) A multi-stage hybrid consensus reaching model for multi-attribute large group decision-making: Integrating cardinal consensus and ordinal consensus. Comput Ind Eng 158:107443","journal-title":"Comput Ind Eng"},{"key":"6538_CR42","doi-asserted-by":"publisher","first-page":"90","DOI":"10.1016\/j.inffus.2021.07.006","volume":"77","author":"X Zhong","year":"2022","unstructured":"Zhong X, Xu X, Pan B (2022) A non-threshold consensus model based on the minimum cost and maximum consensus-increasing for multi-attribute large group decision-making. Inf Fusion 77:90\u2013106","journal-title":"Inf Fusion"},{"issue":"2","key":"6538_CR43","doi-asserted-by":"publisher","first-page":"325","DOI":"10.1007\/s10726-015-9444-8","volume":"25","author":"J Zhu","year":"2016","unstructured":"Zhu J, Zhang S, Chen Y, Zhang L (2016) A hierarchical clustering approach based on three-dimensional gray relational analysis for clustering a large group of decision makers with double information. Group Decis Negot 25(2):325\u2013354","journal-title":"Group Decis Negot"}],"container-title":["Soft Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00500-021-06538-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s00500-021-06538-y\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00500-021-06538-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,2,20]],"date-time":"2022-02-20T06:12:59Z","timestamp":1645337579000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s00500-021-06538-y"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,11,29]]},"references-count":43,"journal-issue":{"issue":"5","published-print":{"date-parts":[[2022,3]]}},"alternative-id":["6538"],"URL":"https:\/\/doi.org\/10.1007\/s00500-021-06538-y","relation":{},"ISSN":["1432-7643","1433-7479"],"issn-type":[{"value":"1432-7643","type":"print"},{"value":"1433-7479","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,11,29]]},"assertion":[{"value":"4 November 2021","order":1,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"29 November 2021","order":2,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"All the authors declare that they have no conflict of interest.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}},{"value":"This article does not contain any studies with human participants or animals performed by any of the authors.","order":3,"name":"Ethics","group":{"name":"EthicsHeading","label":"Ethical approval"}}]}}