{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,29]],"date-time":"2026-01-29T18:56:17Z","timestamp":1769712977526,"version":"3.49.0"},"reference-count":28,"publisher":"SAGE Publications","issue":"4","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IFS"],"published-print":{"date-parts":[[2023,10,4]]},"abstract":"<jats:p>This paper studies a large-scale group decision-making method (LSGMD) based on incomplete hesitant fuzzy linguistic preference relations (IHFLPRs) and proposes an improved model for additive consistency of hesitant fuzzy linguistic preference relations (HFLPRs). Additionally, consistency control and fuzzy C-means (FCM) clustering are utilized to enhance efficiency and reliability. Firstly, a model is proposed to address the issues of missing elements in IHFLPRs and insufficient additive consistency in HFLPRs, aiming to more accurately reflect decision makers\u2019 preference relationships towards candidate alternatives. Subsequently, the FCM method is employed to cluster decision experts\u2019 preference information and obtain the overall preference information. Finally, the rationality and accuracy of our proposed method are demonstrated through a case study and comparative analysis.<\/jats:p>","DOI":"10.3233\/jifs-232615","type":"journal-article","created":{"date-parts":[[2023,8,8]],"date-time":"2023-08-08T11:14:54Z","timestamp":1691493294000},"page":"6825-6836","source":"Crossref","is-referenced-by-count":1,"title":["Consistency improvement under incomplete hesitant fuzzy linguistic preference relations in large-scale group decision-making"],"prefix":"10.1177","volume":"45","author":[{"given":"Jianping","family":"Fan","sequence":"first","affiliation":[{"name":"School of Economics and Management, Shanxi University, Taiyuan, China"}]},{"given":"Jiu","family":"Yuan","sequence":"additional","affiliation":[{"name":"School of Economics and Management, Shanxi University, Taiyuan, China"}]},{"given":"Meiqin","family":"Wu","sequence":"additional","affiliation":[{"name":"School of Economics and Management, Shanxi University, Taiyuan, China"}]}],"member":"179","reference":[{"key":"10.3233\/JIFS-232615_ref1","doi-asserted-by":"crossref","first-page":"217","DOI":"10.1016\/j.inffus.2017.09.011","article-title":"A consensus model for large-scale group decision making with hesitant fuzzy information and changeable clusters","volume":"41","author":"Wu","year":"2018","journal-title":"Information Fusion"},{"issue":"6","key":"10.3233\/JIFS-232615_ref3","first-page":"529","article-title":"Hesitant fuzzy sets","volume":"25","author":"Torra","year":"2010","journal-title":"International Journal of Intelligent Systems"},{"key":"10.3233\/JIFS-232615_ref4","doi-asserted-by":"crossref","first-page":"338","DOI":"10.1016\/S0019-9958(65)90241-X","article-title":"Fuzzy sets","volume":"8","author":"Zadeh","year":"1965","journal-title":"Information and Control"},{"issue":"1","key":"10.3233\/JIFS-232615_ref5","doi-asserted-by":"crossref","first-page":"109","DOI":"10.1109\/TFUZZ.2011.2170076","article-title":"Hesitant fuzzy linguistic term sets for decision making","volume":"20","author":"Rodriguez","year":"2012","journal-title":"IEEE Transactions on Fuzzy Systems"},{"key":"10.3233\/JIFS-232615_ref6","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.inffus.2017.11.010","article-title":"Hesitant fuzzy linguistic term sets for linguistic decision making: Current developments, issues and challenges","volume":"43","author":"Wang","year":"2018","journal-title":"Information Fusion"},{"issue":"1","key":"10.3233\/JIFS-232615_ref7","doi-asserted-by":"crossref","first-page":"35","DOI":"10.1109\/TFUZZ.2013.2245136","article-title":"Consistency measures for hesitant fuzzy linguistic preference relations","volume":"22","author":"Zhu","year":"2014","journal-title":"IEEE Transactions on Fuzzy Systems"},{"key":"10.3233\/JIFS-232615_ref8","doi-asserted-by":"crossref","first-page":"71","DOI":"10.1016\/j.knosys.2016.01.047","article-title":"Deriving the priority weights from incomplete hesitant fuzzy preference relations in group decision making","volume":"99","author":"Xu","year":"2016","journal-title":"Knowledge-Based Systems"},{"key":"10.3233\/JIFS-232615_ref9","doi-asserted-by":"crossref","first-page":"115","DOI":"10.1016\/j.knosys.2017.12.010","article-title":"On priority weights and consistency for incomplete hesitant fuzzy preference relations","volume":"143","author":"Zhang","year":"2018","journal-title":"Knowledge-Based Systems"},{"key":"10.3233\/JIFS-232615_ref10","doi-asserted-by":"crossref","first-page":"174","DOI":"10.1016\/j.asoc.2017.05.056","article-title":"A group decision-making model based on incomplete comparative expressions with hesitant linguistic terms","volume":"59","author":"Song","year":"2017","journal-title":"Applied Soft Computing"},{"key":"10.3233\/JIFS-232615_ref11","doi-asserted-by":"crossref","first-page":"13","DOI":"10.1016\/j.knosys.2014.08.026","article-title":"On the use of multiplicative consistency in hesitant fuzzy linguistic preference relations","volume":"72","author":"Zhang","year":"2014","journal-title":"Knowledge-Based Systems"},{"key":"10.3233\/JIFS-232615_ref12","doi-asserted-by":"crossref","first-page":"347","DOI":"10.1016\/j.ins.2017.12.018","article-title":"Consistency of hesitant fuzzy linguistic preference relations: An interval consistency index","volume":"432","author":"Li","year":"2018","journal-title":"Information Sciences"},{"issue":"6","key":"10.3233\/JIFS-232615_ref13","doi-asserted-by":"crossref","first-page":"544","DOI":"10.1002\/int.21656","article-title":"On Improving the Additive Consistency of the Fuzzy Preference Relations Based on Comparative Linguistic Expressions","volume":"29","author":"Liu","year":"2014","journal-title":"International Journal of Intelligent Systems"},{"issue":"3","key":"10.3233\/JIFS-232615_ref14","doi-asserted-by":"crossref","first-page":"1367","DOI":"10.1109\/TFUZZ.2017.2723349","article-title":"Probability Calculation and Element Optimization of Probabilistic Hesitant Fuzzy Preference Relations Based on Expected Consistency","volume":"26","author":"Zhou","year":"2018","journal-title":"IEEE Transactions on Fuzzy Systems"},{"issue":"11","key":"10.3233\/JIFS-232615_ref15","doi-asserted-by":"crossref","first-page":"12501","DOI":"10.1109\/TCYB.2021.3072364","article-title":"An additive consistency and consensus approach for group decision making with probabilistic hesitant fuzzy linguistic preference relations and its application in failure criticality analysis","volume":"52","author":"Wang","year":"2022","journal-title":"IEEE Transactions on Cybernetics"},{"key":"10.3233\/JIFS-232615_ref16","doi-asserted-by":"crossref","first-page":"114","DOI":"10.1016\/j.inffus.2019.10.002","article-title":"Optimizing consistency and consensus improvement process for hesitant fuzzy linguistic preference relations and the application in group decision making","volume":"56","author":"Liu","year":"2020","journal-title":"Information Fusion"},{"key":"10.3233\/JIFS-232615_ref17","doi-asserted-by":"crossref","first-page":"19","DOI":"10.1016\/j.inffus.2018.10.011","article-title":"Managing incomplete preferences and consistency improvement in hesitant fuzzy linguistic preference relations with applications in group decision making","volume":"51","author":"Liu","year":"2019","journal-title":"Information Fusion"},{"issue":"6","key":"10.3233\/JIFS-232615_ref18","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 Transactions on Fuzzy Systems"},{"issue":"2","key":"10.3233\/JIFS-232615_ref19","doi-asserted-by":"crossref","first-page":"201","DOI":"10.1002\/int.20332","article-title":"Group decision making with incomplete fuzzy linguistic preference relations","volume":"24","author":"Alonso","year":"2009","journal-title":"International Journal of Intelligent Systems"},{"key":"10.3233\/JIFS-232615_ref20","doi-asserted-by":"crossref","first-page":"108311","DOI":"10.1016\/j.cie.2022.108311","article-title":"Consensus reaching with consistency control in group decision making with incomplete hesitant fuzzy linguistic preference relations","volume":"170","author":"Li","year":"2022","journal-title":"Computers & Industrial Engineering"},{"issue":"3","key":"10.3233\/JIFS-232615_ref22","first-page":"442","article-title":"Pattern Recognition with Fuzzy Objective Function Algorithms","volume":"25","author":"Wang","year":"2006","journal-title":"SIAM Review"},{"issue":"10","key":"10.3233\/JIFS-232615_ref23","doi-asserted-by":"crossref","first-page":"6048","DOI":"10.1109\/TSMC.2021.3093467","article-title":"A granular computing-driving hesitant fuzzy linguistic method for supporting large-scale group decision making","volume":"52","author":"Zheng","year":"2022","journal-title":"IEEE Transactions on Systems Man Cybernetics-Systems"},{"issue":"3","key":"10.3233\/JIFS-232615_ref24","doi-asserted-by":"crossref","first-page":"516","DOI":"10.1109\/TFUZZ.2013.2262769","article-title":"A consensus model to detect and manage noncooperative behaviors in large-scale group decision making","volume":"22","author":"Palomares","year":"2014","journal-title":"IEEE Transactions on Fuzzy Systems: A Publication of the IEEE Neural Networks Council"},{"issue":"10","key":"10.3233\/JIFS-232615_ref25","doi-asserted-by":"crossref","first-page":"144","DOI":"10.1109\/97.329844","article-title":"A new initialization technique for generalized Lloyd iteration","volume":"1","author":"Katsavounidis","year":"1994","journal-title":"IEEE signal processing letters"},{"key":"10.3233\/JIFS-232615_ref26","doi-asserted-by":"crossref","first-page":"1585","DOI":"10.1007\/s40815-016-0260-3","article-title":"Tune up fuzzy C-Means for big data: some novel hybrid clustering algorithms based on initial selection and incremental clustering","volume":"19","author":"Le","year":"2017","journal-title":"International Journal of Fuzzy Systems"},{"key":"10.3233\/JIFS-232615_ref27","doi-asserted-by":"crossref","first-page":"102141","DOI":"10.1016\/j.omega.2019.102141","article-title":"From conventional group decision making to large-scale group decision making: What are the challenges and how to meet them in big data era? A state-of-the-art survey","volume":"100","author":"Tang","year":"2019","journal-title":"Omega"},{"key":"10.3233\/JIFS-232615_ref28","doi-asserted-by":"crossref","first-page":"116615","DOI":"10.1016\/j.eswa.2022.116615","article-title":"Clustering and compatibility-based approach for large-scale group decision making with hesitant fuzzy linguistic preference relations: An application in e-waste recycling","volume":"197","author":"Zheng","year":"2022","journal-title":"Expert Systems with Applications"},{"key":"10.3233\/JIFS-232615_ref29","doi-asserted-by":"crossref","first-page":"118925","DOI":"10.1016\/j.eswa.2022.118925","article-title":"A novel alpha-level sets based fuzzy DEMATEL method considering experts\u2019 hesitant information","volume":"213","author":"Zhang","year":"2023","journal-title":"Expert Systems with Applications"},{"key":"10.3233\/JIFS-232615_ref30","doi-asserted-by":"crossref","first-page":"114355","DOI":"10.1016\/j.eswa.2020.114355","article-title":"A hesitant fuzzy linguistic bi-objective clustering method for large-scale group decision-making","volume":"168","author":"Zheng","year":"2020","journal-title":"Expert Systems with Applications"}],"updated-by":[{"DOI":"10.3233\/jifs-219434","type":"retraction","label":"Retraction","source":"retraction-watch","updated":{"date-parts":[[2025,1,15]],"date-time":"2025-01-15T00:00:00Z","timestamp":1736899200000},"record-id":"65087"}],"container-title":["Journal of Intelligent &amp; Fuzzy Systems"],"original-title":[],"link":[{"URL":"https:\/\/content.iospress.com\/download?id=10.3233\/JIFS-232615","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,1,29]],"date-time":"2026-01-29T06:57:14Z","timestamp":1769669834000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/full\/10.3233\/JIFS-232615"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,10,4]]},"references-count":28,"journal-issue":{"issue":"4"},"URL":"https:\/\/doi.org\/10.3233\/jifs-232615","relation":{},"ISSN":["1064-1246","1875-8967"],"issn-type":[{"value":"1064-1246","type":"print"},{"value":"1875-8967","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023,10,4]]}}}