{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,10]],"date-time":"2026-01-10T19:01:51Z","timestamp":1768071711359,"version":"3.49.0"},"reference-count":37,"publisher":"MDPI AG","issue":"9","license":[{"start":{"date-parts":[[2020,9,22]],"date-time":"2020-09-22T00:00:00Z","timestamp":1600732800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"national natural science foundation of china","doi-asserted-by":"publisher","award":["1571055"],"award-info":[{"award-number":["1571055"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>Cross-docking is a new logistics model. The location planning of the crossover center is one of the important issues in logistics management. The location of the cross-docking center is not only a technical issue, but also a management issue. This is a decision made by senior leaders after considering various factors. Therefore, considering the decision-making method, a multicriteria group decision-making method based on an interval multi-granularity language model is proposed. It is suitable for non-static frameworks where the decision-making environment changes at any time during the process. Due to the uncertainty of the location information of the cross-docking center, experts can use their favorite language tag set to provide preferences, so a multi-granular interval fuzzy language model is used to enable experts to reliably provide preference values. At the same time, taking into account the formula threshold for decision-making, after a limited round of discussions, decision-making experts, site selection criteria, and site alternatives can be changed arbitrarily so that when the final opinion is reached, the consensus of experts reaches this threshold. Finally, through the numerical calculation of the site selection center, it is found that the experts will reach a higher level of consensus when joining the experts who change their status. The validity of the method is verified, and the feasibility and applicability of the proposed method are shown.<\/jats:p>","DOI":"10.3390\/sym12091564","type":"journal-article","created":{"date-parts":[[2020,9,24]],"date-time":"2020-09-24T03:03:39Z","timestamp":1600916619000},"page":"1564","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":8,"title":["Cross-Docking Center Location Selection Based on Interval Multi-Granularity Multicriteria Group Decision-Making"],"prefix":"10.3390","volume":"12","author":[{"given":"Xuchen","family":"Deng","sequence":"first","affiliation":[{"name":"Business School, University of Shanghai for Science and Technology, Shanghai 200093, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4746-270X","authenticated-orcid":false,"given":"Shaojian","family":"Qu","sequence":"additional","affiliation":[{"name":"Business School, University of Shanghai for Science and Technology, Shanghai 200093, China"},{"name":"School of Economics and Management, Nanjing University of Information Science and Technology, Nanjing 210044, China"},{"name":"The Logistics Institute-Asia Pacific, National University of Singapore, Singapore 119077, Singapore"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2020,9,22]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"129","DOI":"10.1007\/s00187-011-0124-9","article-title":"Cross-docking","volume":"22","author":"Stephan","year":"2011","journal-title":"J. Manag. Control"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"827","DOI":"10.1016\/j.omega.2012.01.005","article-title":"Cross-docking: State of the art","volume":"40","author":"Belle","year":"2012","journal-title":"Omega"},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"413","DOI":"10.1016\/j.omega.2009.10.008","article-title":"Cross-dock scheduling: Classification, literature review and research agenda","volume":"38","author":"Boysen","year":"2010","journal-title":"Omega"},{"key":"ref_4","doi-asserted-by":"crossref","unstructured":"Walha, F., Chaabane, S., Bekrar, A., and Loukil, T. (2014, January 1\u20133). The cross-docking under uncertainty: State of the art. Proceedings of the 2014 International Conference on Advanced Logistics and Transport (ICALT), Hammamet, Tunisia.","DOI":"10.1109\/ICAdLT.2014.6866334"},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"235","DOI":"10.1287\/trsc.1030.0077","article-title":"The Best Shape for a Crossdock","volume":"38","author":"Bartholdi","year":"2004","journal-title":"Transp. Sci."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"1223","DOI":"10.1080\/0305215X.2012.729053","article-title":"A possibilistic programming approach for the location problem of multiple cross-docks and vehicle routing scheduling under uncertainty","volume":"45","author":"Mousavi","year":"2013","journal-title":"Eng. Optim."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"91","DOI":"10.1080\/18756891.2016.1144156","article-title":"Cross-docking Location Selection in Distribution Systems: A New Intuitionistic Fuzzy Hierarchical Decision Model","volume":"9","author":"Mousavi","year":"2016","journal-title":"Int. J. Comput. Intell. Syst."},{"key":"ref_8","first-page":"661","article-title":"Group Decision Making","volume":"19","author":"Lootsma","year":"1999","journal-title":"Encycl. Soc. Netw. Anal. Min."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"49","DOI":"10.1016\/j.knosys.2014.11.001","article-title":"On multi-granular fuzzy linguistic modeling in group decision-making problems: A systematic review and future trends","volume":"74","year":"2015","journal-title":"Knowl.-Based Syst."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"257","DOI":"10.1007\/s11518-010-5137-7","article-title":"Uniformization of multigranular linguistic labels and their application to group decision-making","volume":"19","author":"Yu","year":"2010","journal-title":"J. Syst. Sci. Syst. Eng."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"217","DOI":"10.1007\/s10726-014-9387-5","article-title":"Consensus-Based Group Decision Making Under Multi-granular Unbalanced 2-Tuple Linguistic Preference Relations","volume":"24","author":"Dong","year":"2015","journal-title":"Group Decis. Negot."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"21","DOI":"10.1007\/s00500-008-0387-8","article-title":"A multi-granular linguistic model for management decision-making in performance appraisal","volume":"14","author":"Martinez","year":"2010","journal-title":"Soft Comput."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"801","DOI":"10.1016\/j.asoc.2016.08.044","article-title":"Probabilistic Linguistic Vector-Term Set and Its Application in Group Decision Making with Multi-Granular Linguistic Information","volume":"49","author":"Zhai","year":"2016","journal-title":"Appl. Soft Comput."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"2080","DOI":"10.1109\/TSMC.2017.2694429","article-title":"The 2-Rank Consensus Reaching Model in the Multigranular Linguistic Multiple-Attribute Group Decision-Making","volume":"48","author":"Zhang","year":"2018","journal-title":"IEEE Trans. Syst. Man Cybern. Syst."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"27","DOI":"10.1016\/j.mcm.2012.01.001","article-title":"The multiattribute group decision-making method based on aggregation operators with interval-valued 2-tuple linguistic information","volume":"56","author":"Zhang","year":"2012","journal-title":"Math. Comput. Model."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"83","DOI":"10.1007\/s10700-010-9071-4","article-title":"A new methodology for fuzzy multi-attribute group decision-making with multi-granularity and non-homogeneous information","volume":"9","author":"Li","year":"2010","journal-title":"Fuzzy Optim. Decis. Mak."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.ins.2015.10.005","article-title":"A generalized TOPSIS method for group decision-making with heterogeneous information in a dynamic environment","volume":"330","author":"Lourenzutti","year":"2016","journal-title":"Inf. Sci."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"543","DOI":"10.1007\/s00500-005-0484-x","article-title":"Dynamic fuzzy OWA model for group multiple criteria decision-making","volume":"10","author":"Chang","year":"2006","journal-title":"Soft Comput."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"232","DOI":"10.1080\/12460125.2014.886850","article-title":"Dynamic MCDM with future knowledge for supplier selection","volume":"23","author":"Jassbi","year":"2014","journal-title":"J. Decis. Syst."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"860","DOI":"10.1016\/j.mcm.2007.03.028","article-title":"Time dependent decision-making; dynamic priorities in the AHP\/ANP: Generalizing from points to functions and from real to complex vari- ables","volume":"46","author":"Saaty","year":"2007","journal-title":"Math. Comput. Model."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1142\/S0218488514500019","article-title":"A discrete time variable index for supporting dynamic multicriteria decision-making","volume":"22","author":"Zulueta","year":"2014","journal-title":"Int. J. Uncertain. Fuzziness Knowl. Based Syst."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"20","DOI":"10.1016\/j.ins.2018.05.017","article-title":"On Dynamic Consensus Processes in Group Decision Making Problems","volume":"459","author":"Cabrerizo","year":"2018","journal-title":"Inf. Sci."},{"key":"ref_23","doi-asserted-by":"crossref","unstructured":"Joshi, D.K., Beg, I., and Kumar, S. (2018). Hesitant Probabilistic Fuzzy Linguistic Sets with Applications in Multi-Criteria Group Decision Making Problems. Mathematics, 6.","DOI":"10.3390\/math6040047"},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"563","DOI":"10.1007\/s00521-016-2702-0","article-title":"Probability multi-valued neutrosophic sets and its application in multicriteria group decision-making problems","volume":"30","author":"Peng","year":"2016","journal-title":"Neural Comput. Appl."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"257","DOI":"10.1016\/j.ejor.2017.06.036","article-title":"Range-based Multi-Actor Multi-Criteria Analysis: A combined method of Multi-Actor Multi-Criteria Analysis and Monte Carlo simulation to support participatory decision-making under uncertainty","volume":"264","author":"Baudry","year":"2018","journal-title":"Eur. J. Oper. Res. B"},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"3688","DOI":"10.1109\/TFUZZ.2018.2843330","article-title":"Probabilistic Linguistic MULTIMOORA: A Multi-Criteria Decision Making Method Based on the Probabilistic Linguistic Expectation Function and the Improved Borda Rule","volume":"26","author":"Wu","year":"2018","journal-title":"IEEE Trans. Fuzzy Syst."},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"884","DOI":"10.1109\/TFUZZ.2017.2697403","article-title":"Consensus Building for the Heterogeneous Large-Scale GDM with the Individual Concerns and Satisfactions","volume":"26","author":"Zhang","year":"2018","journal-title":"IEEE Trans. Fuzzy Syst."},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"115","DOI":"10.1016\/j.fss.2014.03.016","article-title":"Building consensus in group decision-making with an allocation of information granularity","volume":"255","author":"Cabrerizo","year":"2014","journal-title":"Fuzzy Sets Syst."},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"1624","DOI":"10.1002\/int.21954","article-title":"A comparative study on consensus measures in group decision-making","volume":"33","author":"Chiclana","year":"2018","journal-title":"Int. J. Intell. Syst."},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"72","DOI":"10.1016\/j.inffus.2018.07.006","article-title":"A social network based approach for consensus achievement in multiperson decision-making","volume":"47","author":"Urena","year":"2019","journal-title":"Inf. Fusion"},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"171","DOI":"10.1016\/j.ins.2004.02.003","article-title":"Uncertain linguistic aggregation operators based approach to multiple attribute group decision-making under uncertain linguistic environment","volume":"168","author":"Xu","year":"2004","journal-title":"Inf. Sci."},{"key":"ref_32","doi-asserted-by":"crossref","unstructured":"Liu, Y., and Fan, Z.-P. (2007, January 24\u201327). A Method to Solve Group Decision-Making Problem with Multi-granularity Linguistic Assessment Information. Proceedings of the Fourth International Conference on Fuzzy Systems and Knowledge Discovery (FSKD 2007), Haikou, China.","DOI":"10.1109\/FSKD.2007.60"},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"746","DOI":"10.1109\/91.890332","article-title":"A 2-tuple fuzzy linguistic representation model for computing with words","volume":"8","author":"Herrera","year":"2000","journal-title":"IEEE Trans. Fuzzy Syst."},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"43","DOI":"10.1016\/S0165-0114(98)00093-1","article-title":"A fusion approach for managing multi-granularity linguistic term sets in decision-making","volume":"114","author":"Herrera","year":"2000","journal-title":"Fuzzy Sets Syst."},{"key":"ref_35","doi-asserted-by":"crossref","first-page":"394","DOI":"10.1109\/TSMCA.2002.802821","article-title":"A consensus model for multiperson decision-making with different preference structures","volume":"32","author":"Herrera","year":"2002","journal-title":"IEEE Trans. Syst. Man Cybern. Part A Syst. Hum."},{"key":"ref_36","unstructured":"Yager, R.R. (1995, January 9\u201311). Multicriteria decision-making using fuzzy quantifiers. Proceedings of the 1995 Conference on Computational Intelligence for Financial Engineering (CIFEr), New York, NY, USA."},{"key":"ref_37","doi-asserted-by":"crossref","first-page":"5159","DOI":"10.1007\/s00521-018-3355-y","article-title":"A new interval-valued hesitant fuzzy pairwise comparison-compromise solution methodology: An application to cross-docking location planning","volume":"31","author":"Mousavi","year":"2019","journal-title":"Neural Comput. Appl."}],"container-title":["Symmetry"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2073-8994\/12\/9\/1564\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T10:12:15Z","timestamp":1760177535000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2073-8994\/12\/9\/1564"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,9,22]]},"references-count":37,"journal-issue":{"issue":"9","published-online":{"date-parts":[[2020,9]]}},"alternative-id":["sym12091564"],"URL":"https:\/\/doi.org\/10.3390\/sym12091564","relation":{},"ISSN":["2073-8994"],"issn-type":[{"value":"2073-8994","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,9,22]]}}}