{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,8]],"date-time":"2026-01-08T22:02:44Z","timestamp":1767909764167,"version":"3.49.0"},"reference-count":25,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[2020,6,4]],"date-time":"2020-06-04T00:00:00Z","timestamp":1591228800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2020,6,4]],"date-time":"2020-06-04T00:00:00Z","timestamp":1591228800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Fuzzy Optim Decis Making"],"published-print":{"date-parts":[[2020,12]]},"DOI":"10.1007\/s10700-020-09328-7","type":"journal-article","created":{"date-parts":[[2020,6,4]],"date-time":"2020-06-04T10:02:56Z","timestamp":1591264976000},"page":"529-560","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":12,"title":["On consistency and priority weights for interval probabilistic linguistic preference relations"],"prefix":"10.1007","volume":"19","author":[{"given":"Xiangqian","family":"Feng","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xiaodong","family":"Pang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Lan","family":"Zhang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2020,6,4]]},"reference":[{"key":"9328_CR1","doi-asserted-by":"publisher","first-page":"137","DOI":"10.1016\/S0377-2217(02)00255-2","volume":"147","author":"J Aguaron","year":"2003","unstructured":"Aguaron, J., & Moreno-Jimenez, J. M. (2003). The geometric consistency index: Approximated thresholds. European Journal of Operational Research, 147, 137\u2013145.","journal-title":"European Journal of Operational Research"},{"key":"9328_CR2","doi-asserted-by":"publisher","first-page":"1301","DOI":"10.1002\/int.21983","volume":"33","author":"CZ Bai","year":"2018","unstructured":"Bai, C. Z., Zhang, R., Shen, S., et al. (2018). Interval-valued probabilistic linguistic term sets in multi-criteria group decision making. International Journal of Intelligent Systems, 33, 1301\u20131321.","journal-title":"International Journal of Intelligent Systems"},{"key":"9328_CR3","doi-asserted-by":"publisher","first-page":"139","DOI":"10.1016\/j.knosys.2015.03.003","volume":"82","author":"YC Dong","year":"2015","unstructured":"Dong, Y. C., Wu, Y. Z., Zhang, H. J., & Zhang, G. Q. (2015). Multi-granular unbalanced linguistic distribution assessments with interval symbolic proportions. Knowledge-Based Systems, 82, 139\u2013151.","journal-title":"Knowledge-Based Systems"},{"key":"9328_CR4","doi-asserted-by":"publisher","first-page":"430","DOI":"10.1016\/j.ejor.2007.06.013","volume":"189","author":"YC Dong","year":"2008","unstructured":"Dong, Y. C., Xu, Y. F., & Li, H. Y. (2008). On consistency measures of linguistic preference relations. European Journal of Operational Research, 189, 430\u2013444.","journal-title":"European Journal of Operational Research"},{"key":"9328_CR5","doi-asserted-by":"publisher","first-page":"79","DOI":"10.1016\/j.asoc.2017.12.050","volume":"65","author":"XQ Feng","year":"2018","unstructured":"Feng, X. Q., Zhang, L., & Wei, C. P. (2018). The consistency measures and priority weights of hesitant fuzzy linguistic preference relations. Applied Soft Computing, 65, 79\u201390.","journal-title":"Applied Soft Computing"},{"key":"9328_CR6","doi-asserted-by":"publisher","first-page":"1613","DOI":"10.1007\/s13042-018-0839-0","volume":"10","author":"J Gao","year":"2019","unstructured":"Gao, J., Xu, Z. S., Ren, P. J., et al. (2019). An emergency decision making method based on the multiplicative consistency of probabilistic linguistic preference relations. International Journal of Machine Learning and Cybernetics, 10, 1613\u20131629.","journal-title":"International Journal of Machine Learning and Cybernetics"},{"key":"9328_CR7","doi-asserted-by":"publisher","first-page":"746","DOI":"10.1109\/91.890332","volume":"8","author":"F Herrera","year":"2000","unstructured":"Herrera, F., & Martinez, L. (2000). A 2-tuple fuzzy linguistic representation model for computing with words. IEEE Transactions on Fuzzy Systems, 8, 746\u2013752.","journal-title":"IEEE Transactions on Fuzzy Systems"},{"key":"9328_CR8","doi-asserted-by":"publisher","first-page":"1241","DOI":"10.1007\/s40815-019-00619-9","volume":"21","author":"C Jin","year":"2019","unstructured":"Jin, C., Wang, H., & Xu, Z. S. (2019). Uncertain probabilistic linguistic term sets in group decision making. International Journal of Fuzzy Systems, 21, 1241\u20131258.","journal-title":"International Journal of Fuzzy Systems"},{"issue":"1","key":"9328_CR9","doi-asserted-by":"publisher","first-page":"81","DOI":"10.1007\/s10700-019-09309-5","volume":"19","author":"HC Liao","year":"2020","unstructured":"Liao, H. C., Mi, X. M., & Xu, Z. S. (2020). A survey of decision-making methods with probabilistic linguistic information: Bibliometrics, preliminaries, methodologies, applications and future directions. Fuzzy Optimization and Decision Making, 19(1), 81\u2013134.","journal-title":"Fuzzy Optimization and Decision Making"},{"key":"9328_CR10","doi-asserted-by":"publisher","first-page":"2125","DOI":"10.1007\/s11071-019-04910-0","volume":"96","author":"MW Lin","year":"2019","unstructured":"Lin, M. W., Chen, Z. Y., Liao, H. C., et al. (2019). ELECTRE II method to deal with probabilistic linguistic term sets and its application to edge computing. Nonlinear Dynamics, 96, 2125\u20132143.","journal-title":"Nonlinear Dynamics"},{"key":"9328_CR11","doi-asserted-by":"publisher","first-page":"157","DOI":"10.1057\/s41274-017-0182-y","volume":"69","author":"MW Lin","year":"2018","unstructured":"Lin, M. W., Xu, Z. S., Zhai, Y. L., et al. (2018). Multi-attribute group decision-making under probabilistic uncertain linguistic environment. Journal of the Operational Research Society, 69, 157\u2013170.","journal-title":"Journal of the Operational Research Society"},{"key":"9328_CR12","doi-asserted-by":"publisher","first-page":"220","DOI":"10.1016\/j.ins.2013.07.027","volume":"258","author":"HB Liu","year":"2014","unstructured":"Liu, H. B., & Rodriguez, R. M. (2014). A fuzzy envelope for hesitant fuzzy linguistic term set and its application to multicriteria decision making. Information Sciences, 258, 220\u2013238.","journal-title":"Information Sciences"},{"key":"9328_CR13","doi-asserted-by":"publisher","first-page":"2355","DOI":"10.1016\/j.wasman.2014.07.016","volume":"34","author":"HC Liu","year":"2014","unstructured":"Liu, H. C., You, J. X., Lu, C., et al. (2014). Application of interval 2-tuple linguistic MULTIMOORA method for health-care waste treatment technology evaluation and selection. Waste Management, 34, 2355\u20132364.","journal-title":"Waste Management"},{"key":"9328_CR14","doi-asserted-by":"publisher","first-page":"128","DOI":"10.1016\/j.ins.2016.06.021","volume":"369","author":"Q Pang","year":"2016","unstructured":"Pang, Q., Wang, H., & Xu, Z. S. (2016). Probabilistic linguistic term sets in multi-attribute group decision making. Information Sciences, 369, 128\u2013143.","journal-title":"Information Sciences"},{"key":"9328_CR15","doi-asserted-by":"publisher","first-page":"109","DOI":"10.1109\/TFUZZ.2011.2170076","volume":"20","author":"RM Rodriguez","year":"2012","unstructured":"Rodriguez, R. M., Martinez, L., & Herrera, F. (2012). Hesitant fuzzy linguistic term sets for decision making. IEEE Transactions on Fuzzy Systems, 20, 109\u2013119.","journal-title":"IEEE Transactions on Fuzzy Systems"},{"key":"9328_CR16","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 Sets and Systems, 12, 117\u2013131.","journal-title":"Fuzzy Sets and Systems"},{"key":"9328_CR17","doi-asserted-by":"publisher","first-page":"2456","DOI":"10.1016\/j.fss.2006.06.008","volume":"157","author":"YM Wang","year":"2006","unstructured":"Wang, Y. M., & Elhag, T. (2006). On the normalization of interval and fuzzy weights. Fuzzy Sets and Systems, 157, 2456\u20132471.","journal-title":"Fuzzy Sets and Systems"},{"key":"9328_CR18","doi-asserted-by":"publisher","first-page":"316","DOI":"10.1016\/j.ins.2014.10.047","volume":"297","author":"H Wang","year":"2015","unstructured":"Wang, H., & Xu, Z. S. (2015). Some consistency measures of extended hesitant fuzzy linguistic preference relations. Information Sciences, 297, 316\u2013331.","journal-title":"Information Sciences"},{"key":"9328_CR19","doi-asserted-by":"publisher","first-page":"13","DOI":"10.1016\/j.inffus.2017.11.008","volume":"43","author":"XL Wu","year":"2018","unstructured":"Wu, X. L., & Liao, H. C. (2018). An approach to quality function deployment based on probabilistic linguistic term sets and ORESTE method for multi-expert multi-criteria decision making. Information Fusion, 43, 13\u201326.","journal-title":"Information Fusion"},{"key":"9328_CR20","doi-asserted-by":"publisher","first-page":"694","DOI":"10.1109\/TCYB.2015.2413894","volume":"46","author":"ZB Wu","year":"2016","unstructured":"Wu, Z. B., & Xu, J. P. (2016). Possibility distribution-based approach for MAGDM with hesitant fuzzy linguistic information. IEEE Transactions on Cybernetics, 46, 694.","journal-title":"IEEE Transactions on Cybernetics"},{"key":"9328_CR21","doi-asserted-by":"publisher","first-page":"791","DOI":"10.1142\/S0218488504003211","volume":"12","author":"ZS Xu","year":"2004","unstructured":"Xu, Z. S. (2004). EOWA and EOWG operators for aggregating linguistic labels based on linguistic preference relations. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 12, 791\u2013810.","journal-title":"International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems"},{"key":"9328_CR22","doi-asserted-by":"publisher","first-page":"43","DOI":"10.1016\/j.inffus.2016.06.002","volume":"34","author":"ZS Xu","year":"2017","unstructured":"Xu, Z. S., & Wang, H. (2017). On the syntax and semantics of virtual linguistic terms for information fusion in decision making. Information Fusion, 34, 43\u201348.","journal-title":"Information Fusion"},{"key":"9328_CR23","doi-asserted-by":"publisher","first-page":"199","DOI":"10.1016\/0020-0255(75)90036-5","volume":"8","author":"LA Zadeh","year":"1975","unstructured":"Zadeh, L. A. (1975). The concept of a linguistic variable and its application to approximate reasoning\u2014I. Information Sciences, 8, 199\u2013249.","journal-title":"Information Sciences"},{"key":"9328_CR24","doi-asserted-by":"publisher","first-page":"673","DOI":"10.1142\/S021962201950007X","volume":"18","author":"XF Zhang","year":"2019","unstructured":"Zhang, X. F., Xu, Z. S., & Ren, P. J. (2019). A novel hybrid correlation measure for probabilistic linguistic term sets and crisp numbers and its application in customer relationship management. International Journal of Information Technology & Decision Making, 18, 673\u2013694.","journal-title":"International Journal of Information Technology & Decision Making"},{"key":"9328_CR25","doi-asserted-by":"publisher","first-page":"817","DOI":"10.1016\/j.asoc.2016.08.045","volume":"49","author":"YX Zhang","year":"2016","unstructured":"Zhang, Y. X., Xu, Z. S., Wang, H., et al. (2016). Consistency-based risk assessment with probabilistic linguistic preference relation. Applied Soft Computing, 49, 817\u2013833.","journal-title":"Applied Soft Computing"}],"container-title":["Fuzzy Optimization and Decision Making"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10700-020-09328-7.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s10700-020-09328-7\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10700-020-09328-7.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,6,4]],"date-time":"2021-06-04T00:36:55Z","timestamp":1622767015000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s10700-020-09328-7"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,6,4]]},"references-count":25,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2020,12]]}},"alternative-id":["9328"],"URL":"https:\/\/doi.org\/10.1007\/s10700-020-09328-7","relation":{},"ISSN":["1568-4539","1573-2908"],"issn-type":[{"value":"1568-4539","type":"print"},{"value":"1573-2908","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,6,4]]},"assertion":[{"value":"4 June 2020","order":1,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}