{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,3]],"date-time":"2026-02-03T21:04:28Z","timestamp":1770152668958,"version":"3.49.0"},"reference-count":43,"publisher":"Springer Science and Business Media LLC","issue":"8","license":[{"start":{"date-parts":[[2024,9,8]],"date-time":"2024-09-08T00:00:00Z","timestamp":1725753600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2024,9,8]],"date-time":"2024-09-08T00:00:00Z","timestamp":1725753600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["U1904211"],"award-info":[{"award-number":["U1904211"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100012456","name":"National Social Science Fund of China","doi-asserted-by":"publisher","award":["20BTJ059"],"award-info":[{"award-number":["20BTJ059"]}],"id":[{"id":"10.13039\/501100012456","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Int. J. Fuzzy Syst."],"published-print":{"date-parts":[[2024,11]]},"DOI":"10.1007\/s40815-024-01728-w","type":"journal-article","created":{"date-parts":[[2024,9,8]],"date-time":"2024-09-08T09:01:58Z","timestamp":1725786118000},"page":"2475-2504","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["A Probabilistic Hesitant Fuzzy Multi-criteria Group Decision-Making Method Integrated DIBR and Tri-reference Point Theory"],"prefix":"10.1007","volume":"26","author":[{"ORCID":"https:\/\/orcid.org\/0009-0009-7756-588X","authenticated-orcid":false,"given":"Feng","family":"Zhu","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yumin","family":"Liu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jingjing","family":"Sun","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jichao","family":"Xu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ning","family":"Wang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2024,9,8]]},"reference":[{"key":"1728_CR1","doi-asserted-by":"crossref","first-page":"33","DOI":"10.1016\/S0019-9958(65)90241-X","volume":"8","author":"LA Zadeh","year":"1965","unstructured":"Zadeh, L.A.: Fuzzy sets. Inf. Control. 8, 33 (1965)","journal-title":"Inf. Control."},{"key":"1728_CR2","doi-asserted-by":"crossref","first-page":"87","DOI":"10.1016\/S0165-0114(86)80034-3","volume":"20","author":"KT Atanassov","year":"1986","unstructured":"Atanassov, K.T.: Intuitionistic fuzzy sets. Fuzzy Sets Syst. 20, 87\u201396 (1986)","journal-title":"Fuzzy Sets Syst."},{"key":"1728_CR3","doi-asserted-by":"crossref","first-page":"958","DOI":"10.1109\/TFUZZ.2013.2278989","volume":"22","author":"RR Yager","year":"2014","unstructured":"Yager, R.R.: Pythagorean membership grades in multi-criteria decision making. IEEE Trans. Fuzzy Syst. 22, 958\u2013965 (2014)","journal-title":"IEEE Trans. Fuzzy Syst."},{"key":"1728_CR4","first-page":"529","volume":"25","author":"V Torra","year":"2010","unstructured":"Torra, V.: Hesitant fuzzy sets. Int. J. Intell. Syst. 25, 529\u2013539 (2010)","journal-title":"Int. J. Intell. Syst."},{"key":"1728_CR5","doi-asserted-by":"crossref","first-page":"481","DOI":"10.1007\/s10700-016-9257-5","volume":"16","author":"ZS Xu","year":"2017","unstructured":"Xu, Z.S., Zhou, W.: Consensus building with a group of decision makers under the hesitant probabilistic fuzzy environment. Fuzzy Optim. Decis. Mak. 16, 481\u2013503 (2017)","journal-title":"Fuzzy Optim. Decis. Mak."},{"key":"1728_CR6","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.inffus.2017.02.001","volume":"38","author":"S Zhang","year":"2017","unstructured":"Zhang, S., Xu, Z.S., He, Y.: Operations and integrations of probabilistic hesitant fuzzy information in decision making. Inf. Fusion 38, 1\u201311 (2017)","journal-title":"Inf. Fusion"},{"key":"1728_CR7","doi-asserted-by":"crossref","first-page":"3853","DOI":"10.1007\/s00500-018-3047-7","volume":"23","author":"J Li","year":"2019","unstructured":"Li, J., Wang, Z.X.: Multi-attribute decision making based on prioritized operators under probabilistic hesitant fuzzy environments. Soft. Comput. 23, 3853\u20133868 (2019)","journal-title":"Soft. Comput."},{"key":"1728_CR8","doi-asserted-by":"crossref","first-page":"7317","DOI":"10.3233\/JIFS-220999","volume":"43","author":"QS Qi","year":"2022","unstructured":"Qi, Q.S.: TOPSIS methods for probabilistic hesitant fuzzy multiple attribute group decision-making and application to performance evaluation of public charging service quality. J. Intell. Fuzzy Syst. 43, 7317\u20137328 (2022)","journal-title":"J. Intell. Fuzzy Syst."},{"key":"1728_CR9","first-page":"1326202","volume":"2021","author":"ZQ Li","year":"2021","unstructured":"Li, Z.Q.: VIKOR method for evaluating the management quality of teacher education with probabilistic hesitant fuzzy information. Discrete Dyn. Nat. Soc. 2021, 1326202 (2021)","journal-title":"Discrete Dyn. Nat. Soc."},{"key":"1728_CR10","doi-asserted-by":"crossref","first-page":"1419","DOI":"10.3846\/tede.2022.17273","volume":"28","author":"NN Liao","year":"2022","unstructured":"Liao, N.N., Wei, G.W., Xu, X.R., Chen, X.D., Guo, Y.F.: CODAS method with probabilistic hesitant fuzzy information and its application to environmental and economically balanced supplier selection. Technol. Econ. Dev. Econ. 28, 1419\u20131438 (2022)","journal-title":"Technol. Econ. Dev. Econ."},{"key":"1728_CR11","volume":"37","author":"J Li","year":"2020","unstructured":"Li, J., Chen, Q.X.: An outranking method for multi-criteria decision making with probabilistic hesitant information. Exp. Syst. 37, e12513 (2020)","journal-title":"Exp. Syst."},{"key":"1728_CR12","doi-asserted-by":"crossref","first-page":"611","DOI":"10.1007\/s12559-017-9476-2","volume":"9","author":"J Li","year":"2017","unstructured":"Li, J., Wang, J.Q.: Multi-criteria outranking methods with hesitant probabilistic fuzzy sets. Cogn. Comput. 9, 611\u2013625 (2017)","journal-title":"Cogn. Comput."},{"key":"1728_CR13","doi-asserted-by":"crossref","first-page":"1866","DOI":"10.1007\/s40815-017-0310-5","volume":"19","author":"J Li","year":"2017","unstructured":"Li, J., Wang, J.Q.: An extended QUALIFLEX method under probability hesitant fuzzy environment for selecting green suppliers. Int. J. Fuzzy Syst. 19, 1866\u20131879 (2017)","journal-title":"Int. J. Fuzzy Syst."},{"key":"1728_CR14","doi-asserted-by":"crossref","first-page":"263","DOI":"10.2307\/1914185","volume":"47","author":"D Kahneman","year":"1979","unstructured":"Kahneman, D., Tversky, A.: Prospect theory: an analysis of decision under risk. Econometrica 47, 263\u2013291 (1979)","journal-title":"Econometrica"},{"key":"1728_CR15","doi-asserted-by":"crossref","first-page":"4367","DOI":"10.3233\/JIFS-201119","volume":"40","author":"XY Sha","year":"2021","unstructured":"Sha, X.Y., Yin, C.C., Xu, Z.S., Zhang, S.: Probabilistic hesitant fuzzy TOPSIS emergency decision-making method based on the cumulative prospect theory. J. Intell. Fuzzy Syst. 40, 4367\u20134383 (2021)","journal-title":"J. Intell. Fuzzy Syst."},{"key":"1728_CR16","doi-asserted-by":"crossref","DOI":"10.1016\/j.cie.2020.106804","volume":"149","author":"W Liang","year":"2020","unstructured":"Liang, W., Goh, M., Wang, Y.M.: Multi-attribute group decision making method based on prospect theory under hesitant probabilistic fuzzy environment. Comput. Ind. Eng. 149, 106804 (2020)","journal-title":"Comput. Ind. Eng."},{"key":"1728_CR17","doi-asserted-by":"crossref","first-page":"2971","DOI":"10.1007\/s10462-022-10244-y","volume":"56","author":"NN Liao","year":"2022","unstructured":"Liao, N.N., Gao, H., Lin, R., Wei, G.W., Chen, X.D.: An extended EDAS approach based on cumulative prospect theory for multiple attributes group decision making with probabilistic hesitant fuzzy information. Artif. Intell. Rev. 56, 2971\u20133003 (2022)","journal-title":"Artif. Intell. Rev."},{"key":"1728_CR18","doi-asserted-by":"crossref","first-page":"21","DOI":"10.1023\/A:1011149422763","volume":"22","author":"Y Alarie","year":"2001","unstructured":"Alarie, Y., Dionne, G.: Lottery decisions and probability weighting function. J. Risk Uncertain. 22, 21\u201333 (2001)","journal-title":"J. Risk Uncertain."},{"key":"1728_CR19","doi-asserted-by":"crossref","first-page":"34","DOI":"10.1257\/mic.20170112","volume":"11","author":"HK Chung","year":"2019","unstructured":"Chung, H.K., Glimcher, P., Tymula, A.: An experimental comparison of risky and riskless choice\u2014limitations of prospect theory and expected utility theory. Am. Econ. J. Microecon. 11, 34\u201367 (2019)","journal-title":"Am. Econ. J. Microecon."},{"key":"1728_CR20","doi-asserted-by":"crossref","first-page":"743","DOI":"10.1037\/a0027415","volume":"141","author":"XT Wang","year":"2012","unstructured":"Wang, X.T., Johnson, J.G.: A tri-reference point theory of decision making under risk. J. Exp. Psychol. Gen. 141, 743\u2013756 (2012)","journal-title":"J. Exp. Psychol. Gen."},{"key":"1728_CR21","doi-asserted-by":"crossref","first-page":"148","DOI":"10.1016\/j.ins.2019.07.002","volume":"503","author":"W Song","year":"2019","unstructured":"Song, W., Zhu, J.: Three-reference-point decision-making method with incomplete weight information considering independent and interactive characteristics. Inf. Sci. 503, 148\u2013168 (2019)","journal-title":"Inf. Sci."},{"key":"1728_CR22","doi-asserted-by":"crossref","DOI":"10.1016\/j.engappai.2022.104838","volume":"112","author":"DC Liang","year":"2022","unstructured":"Liang, D.C., Cao, W., Xu, Z.S.: Tri-reference point method for q-rung orthopair fuzzy multiple attribute decision making by considering the interaction of attributes with Bayesian network. Eng. Appl. Artif. Intell. 112, 104838 (2022)","journal-title":"Eng. Appl. Artif. Intell."},{"key":"1728_CR23","volume":"210","author":"Y Tu","year":"2022","unstructured":"Tu, Y., Shi, H.W., Chen, K., Liang, Y.Y., Zhou, X.Y., Lev, B.: Three-reference-point based group ELECTRE III method for urban flood resilience evaluation. Expert Syst. Appl. 210, 118488 (2022)","journal-title":"Expert Syst. Appl."},{"key":"1728_CR24","doi-asserted-by":"crossref","first-page":"1414","DOI":"10.1007\/s40815-022-01440-7","volume":"25","author":"NN Liao","year":"2023","unstructured":"Liao, N.N., Cai, Q., Garg, H., Wei, G.W., Xu, X.R.: Novel gained and lost dominance score method based on cumulative prospect theory for group decision-making problems in probabilistic hesitant fuzzy environment. Int. J. Fuzzy Syst. 25, 1414\u20131428 (2023)","journal-title":"Int. J. Fuzzy Syst."},{"key":"1728_CR25","doi-asserted-by":"crossref","first-page":"1301","DOI":"10.1007\/s40815-021-01206-7","volume":"24","author":"PD Liu","year":"2022","unstructured":"Liu, P.D., Wu, Y.F., Li, Y.: Probabilistic hesitant fuzzy taxonomy method based on best\u2013worst-method (BWM) and indifference threshold-based attribute ratio analysis (ITARA) for multi-attributes decision making. Int. J. Fuzzy Syst. 24, 1301\u20131317 (2022)","journal-title":"Int. J. Fuzzy Syst."},{"key":"1728_CR26","doi-asserted-by":"crossref","DOI":"10.1016\/j.jclepro.2021.129096","volume":"323","author":"D Pamucar","year":"2021","unstructured":"Pamucar, D., Deveci, M., Gokasar, I., I\u015f\u0131k, M., Zizovic, M.: Circular economy concepts in urban mobility alternatives using integrated DIBR method and fuzzy Dombi CoCoSo model. J. Clean. Prod. 323, 129096 (2021)","journal-title":"J. Clean. Prod."},{"key":"1728_CR27","doi-asserted-by":"crossref","first-page":"353","DOI":"10.3390\/info13080353","volume":"13","author":"D Te\u0161i\u0107","year":"2022","unstructured":"Te\u0161i\u0107, D., Radovanovi\u0107, M., Bo\u017eani\u0107, D., Pamucar, D., Mili\u0107, A., Pu\u0161ka, A.: Modification of the DIBR and MABAC methods by applying rough numbers and its application in making decisions. Information 13, 353 (2022)","journal-title":"Information"},{"key":"1728_CR28","doi-asserted-by":"crossref","DOI":"10.1016\/j.scs.2022.103910","volume":"82","author":"D Pamucar","year":"2022","unstructured":"Pamucar, D., Simic, V., Lazarevi\u0107, D., Dobrodolac, M., Deveci, M.: Prioritization of sustainable mobility sharing systems using integrated fuzzy DIBR and fuzzy-rough EDAS model. Sustain. Cities Soc. 82, 103910 (2022)","journal-title":"Sustain. Cities Soc."},{"key":"1728_CR29","doi-asserted-by":"crossref","first-page":"11665","DOI":"10.1016\/j.eswa.2011.03.046","volume":"38","author":"Z Yue","year":"2011","unstructured":"Yue, Z.: Deriving decision maker\u2019s weights based on distance measure for interval-valued intuitionistic fuzzy group decision making. Expert Syst. Appl. 38, 11665\u201311670 (2011)","journal-title":"Expert Syst. Appl."},{"key":"1728_CR30","doi-asserted-by":"crossref","first-page":"2900","DOI":"10.1016\/j.apm.2011.09.068","volume":"36","author":"Z Yue","year":"2012","unstructured":"Yue, Z.: Approach to group decision making based on determining the weights of experts by using projection method. Appl. Math. Model. 36, 2900\u20132910 (2012)","journal-title":"Appl. Math. Model."},{"key":"1728_CR31","doi-asserted-by":"crossref","first-page":"355","DOI":"10.1007\/s40815-018-0578-0","volume":"21","author":"CY Song","year":"2019","unstructured":"Song, C.Y., Xu, Z.S., Zhao, H.: New correlation coefficients between probabilistic hesitant fuzzy sets and their applications in cluster analysis. Int. J. Fuzzy Syst. 21, 355\u2013368 (2019)","journal-title":"Int. J. Fuzzy Syst."},{"key":"1728_CR32","doi-asserted-by":"crossref","unstructured":"Liu, Y., Guan, X.: Mixed correlation coefficient between probability hesitation fuzzy sets and applications. Int. J. Fuzzy Syst. 26, 154\u2013167 (2024)","DOI":"10.1007\/s40815-023-01581-3"},{"key":"1728_CR33","doi-asserted-by":"crossref","first-page":"3763","DOI":"10.3233\/JIFS-223059","volume":"44","author":"SS Zhang","year":"2023","unstructured":"Zhang, S.S., Liu, X.D., Garg, H., Zhang, S.T.: Investment decision making in the fuzzy context: an integrated model approach. J. Intell. Fuzzy Syst. 44, 3763\u20133786 (2023)","journal-title":"J. Intell. Fuzzy Syst."},{"key":"1728_CR34","doi-asserted-by":"crossref","first-page":"115","DOI":"10.1016\/j.knosys.2015.02.020","volume":"82","author":"HC Liao","year":"2015","unstructured":"Liao, H.C., Xu, Z.S., Zeng, X.J.: Novel correlation coefficients between hesitant fuzzy sets and their application in decision making. Knowl. Based Syst. 82, 115\u2013127 (2015)","journal-title":"Knowl. Based Syst."},{"key":"1728_CR35","doi-asserted-by":"crossref","first-page":"1233","DOI":"10.1002\/int.22240","volume":"35","author":"MW Lin","year":"2020","unstructured":"Lin, M.W., Zhan, Q.S., Xu, Z.S.: Decision making with probabilistic hesitant fuzzy information based on multiplicative consistency. Int. J. Intell. Syst. 35, 1233\u20131261 (2020)","journal-title":"Int. J. Intell. Syst."},{"key":"1728_CR36","doi-asserted-by":"crossref","first-page":"1591","DOI":"10.1007\/s13042-020-01060-3","volume":"11","author":"J Li","year":"2020","unstructured":"Li, J., Chen, Q.X., Niu, L.L., Wang, Z.X.: An ORESTE approach for multi-criteria decision-making with probabilistic hesitant fuzzy information. Int. J. Mach. Learn. Cybern. 11, 1591\u20131609 (2020)","journal-title":"Int. J. Mach. Learn. Cybern."},{"key":"1728_CR37","doi-asserted-by":"crossref","first-page":"1331","DOI":"10.3724\/SP.J.1042.2013.01331","volume":"21","author":"XT Wang","year":"2013","unstructured":"Wang, X.T., Wang, P.: Tri-reference point theory of decision making: from principles to applications. Adv. Psychol. Sci. 21, 1331\u20131346 (2013)","journal-title":"Adv. Psychol. Sci."},{"key":"1728_CR38","volume":"183","author":"XD Liu","year":"2021","unstructured":"Liu, X.D., Wang, Z.W., Zhang, S.T., Garg, H.: Novel correlation coefficient between hesitant fuzzy sets with application to medical diagnosis. Expert Syst. Appl. 183, 115393 (2021)","journal-title":"Expert Syst. Appl."},{"key":"1728_CR39","first-page":"9608704","volume":"2020","author":"NN Su","year":"2020","unstructured":"Su, N.N., Zhu, X.Q., Xin, Y.S.: Using improved prospect theory to develop a partner selection method for virtual enterprises with unknown weight. Math. Probl. Eng. 2020, 9608704 (2020)","journal-title":"Math. Probl. Eng."},{"key":"1728_CR40","doi-asserted-by":"crossref","first-page":"783","DOI":"10.1016\/j.engappai.2019.08.006","volume":"85","author":"ZS Chen","year":"2019","unstructured":"Chen, Z.S., Mart\u00ednez, L., Chang, J.P., Wang, X.J., Xiong, S.H., Chin, K.S.: Sustainable building material selection: a QFD- and ELECTRE III-embedded hybrid MCGDM approach with consensus building. Eng. Appl. Artif. Intell. 85, 783\u2013807 (2019)","journal-title":"Eng. Appl. Artif. Intell."},{"key":"1728_CR41","doi-asserted-by":"crossref","first-page":"2053","DOI":"10.1016\/j.conbuildmat.2010.11.041","volume":"25","author":"B Reza","year":"2011","unstructured":"Reza, B., Sadiq, R., Hewage, K.: Sustainability assessment of flooring systems in the City of Tehran: an AHP-based life cycle analysis. Constr. Build. Mater. 25, 2053\u20132066 (2011)","journal-title":"Constr. Build. Mater."},{"key":"1728_CR42","doi-asserted-by":"crossref","first-page":"4415","DOI":"10.1007\/s12652-021-03338-y","volume":"13","author":"FY Meng","year":"2022","unstructured":"Meng, F.Y., Dong, B.H.: Linguistic intuitionistic fuzzy PROMETHEE method based on similarity measure for the selection of sustainable building materials. J. Ambient. Intell. Humaniz. Comput. 13, 4415\u20134435 (2022)","journal-title":"J. Ambient. Intell. Humaniz. Comput."},{"key":"1728_CR43","doi-asserted-by":"crossref","first-page":"1847","DOI":"10.3390\/buildings13071847","volume":"13","author":"M Hamza","year":"2023","unstructured":"Hamza, M., Bafail, O., Alidrisi, H.: HVAC systems evaluation and selection for sustainable office buildings: an integrated MCDM approach. Buildings 13, 1847 (2023)","journal-title":"Buildings"}],"container-title":["International Journal of Fuzzy Systems"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s40815-024-01728-w.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s40815-024-01728-w\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s40815-024-01728-w.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,1,23]],"date-time":"2025-01-23T14:08:57Z","timestamp":1737641337000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s40815-024-01728-w"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,9,8]]},"references-count":43,"journal-issue":{"issue":"8","published-print":{"date-parts":[[2024,11]]}},"alternative-id":["1728"],"URL":"https:\/\/doi.org\/10.1007\/s40815-024-01728-w","relation":{},"ISSN":["1562-2479","2199-3211"],"issn-type":[{"value":"1562-2479","type":"print"},{"value":"2199-3211","type":"electronic"}],"subject":[],"published":{"date-parts":[[2024,9,8]]},"assertion":[{"value":"5 November 2023","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"23 February 2024","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"11 March 2024","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"8 September 2024","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}