{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,18]],"date-time":"2026-04-18T14:43:36Z","timestamp":1776523416143,"version":"3.51.2"},"reference-count":53,"publisher":"Springer Science and Business Media LLC","issue":"5","license":[{"start":{"date-parts":[[2015,8,8]],"date-time":"2015-08-08T00:00:00Z","timestamp":1438992000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Int. J. Mach. Learn. & Cyber."],"published-print":{"date-parts":[[2016,10]]},"DOI":"10.1007\/s13042-015-0400-3","type":"journal-article","created":{"date-parts":[[2015,8,7]],"date-time":"2015-08-07T04:20:59Z","timestamp":1438921259000},"page":"819-831","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":58,"title":["Dual hesitant fuzzy group decision making method and its application to supplier selection"],"prefix":"10.1007","volume":"7","author":[{"given":"Dejian","family":"Yu","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Deng-Feng","family":"Li","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jos\u00e9 M.","family":"Merig\u00f3","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2015,8,8]]},"reference":[{"issue":"1","key":"400_CR1","doi-asserted-by":"crossref","first-page":"87","DOI":"10.1016\/S0165-0114(86)80034-3","volume":"20","author":"KT Atanassov","year":"1986","unstructured":"Atanassov KT (1986) Intuitionistic fuzzy sets. Fuzzy Sets Syst 20(1):87\u201396","journal-title":"Fuzzy Sets Syst"},{"issue":"3","key":"400_CR2","doi-asserted-by":"crossref","first-page":"338","DOI":"10.1016\/S0019-9958(65)90241-X","volume":"8","author":"LA Zadeh","year":"1965","unstructured":"Zadeh LA (1965) Fuzzy sets. Inf Control 8(3):338\u2013353","journal-title":"Inf Control"},{"issue":"408012","key":"400_CR3","first-page":"16","volume":"2013","author":"Z Zhang","year":"2013","unstructured":"Zhang Z, Wang M, Hu Y, Yang J, Ye Y, Li Y (2013) A dynamic interval-valued intuitionistic fuzzy sets applied to pattern recognition. Math Probl Eng 2013(408012):16","journal-title":"Math Probl Eng"},{"issue":"14","key":"400_CR4","doi-asserted-by":"crossref","first-page":"1609","DOI":"10.1016\/j.patrec.2013.05.015","volume":"34","author":"GA Papakostas","year":"2013","unstructured":"Papakostas GA, Hatzimichailidis AG, Kaburlasos VG (2013) Distance and similarity measures between intuitionistic fuzzy sets: a comparative analysis from a pattern recognition point of view. Pattern Recognit Lett 34(14):1609\u20131622","journal-title":"Pattern Recognit Lett"},{"key":"400_CR5","doi-asserted-by":"crossref","first-page":"45","DOI":"10.1016\/j.ins.2013.08.013","volume":"255","author":"FE Boran","year":"2014","unstructured":"Boran FE, Akay D (2014) A biparametric similarity measure on intuitionistic fuzzy sets with applications to pattern recognition. Inf Sci 255:45\u201357","journal-title":"Inf Sci"},{"issue":"2","key":"400_CR6","doi-asserted-by":"crossref","first-page":"2026","DOI":"10.1016\/j.eswa.2011.08.031","volume":"39","author":"GW Wei","year":"2012","unstructured":"Wei GW, Zhao XF (2012) Some induced correlated aggregating operators with intuitionistic fuzzy information and their application to multiple attribute group decision making. Expert Syst Appl 39(2):2026\u20132034","journal-title":"Expert Syst Appl"},{"issue":"1","key":"400_CR7","doi-asserted-by":"crossref","first-page":"185","DOI":"10.1007\/s10115-009-0263-6","volume":"25","author":"F Tao","year":"2010","unstructured":"Tao F, Zhao D, Zhang L (2010) Resource service optimal-selection based on intuitionistic fuzzy set and non-functionality QoS in manufacturing grid system. Knowl Inf Syst 25(1):185\u2013208","journal-title":"Knowl Inf Syst"},{"issue":"2","key":"400_CR8","doi-asserted-by":"crossref","first-page":"337","DOI":"10.1007\/s10115-009-0276-1","volume":"26","author":"GW Wei","year":"2011","unstructured":"Wei GW, Wang HJ, Lin R (2011) Application of correlation coefficient to interval-valued intuitionistic fuzzy multiple attribute decision-making with incomplete weight information. Knowl Inf Syst 26(2):337\u2013349","journal-title":"Knowl Inf Syst"},{"issue":"1","key":"400_CR9","doi-asserted-by":"crossref","first-page":"149","DOI":"10.1016\/j.eswa.2009.05.005","volume":"37","author":"CQ Tan","year":"2010","unstructured":"Tan CQ, Chen XH (2010) Intuitionistic fuzzy Choquet integral operator for multi-criteria decision making. Expert Syst Appl 37(1):149\u2013157","journal-title":"Expert Syst Appl"},{"issue":"5","key":"400_CR10","doi-asserted-by":"crossref","first-page":"2484","DOI":"10.1016\/j.eswa.2013.09.048","volume":"41","author":"YD He","year":"2014","unstructured":"He YD, Chen HY, Zhou LG, Han B, Zhao Q, Liu J (2014) Generalized intuitionistic fuzzy geometric interaction operators and their application to decision making. Expert Syst Appl 41(5):2484\u20132495","journal-title":"Expert Syst Appl"},{"key":"400_CR11","doi-asserted-by":"crossref","unstructured":"Torra V, Narukawa Y (2009). On hesitant fuzzy sets and decision. In: IEEE international conference on fuzzy systems, 2009. FUZZ-IEEE 2009, pp 1378\u20131382","DOI":"10.1109\/FUZZY.2009.5276884"},{"key":"400_CR12","volume-title":"Fuzzy sets and systems: theory and applications (Vol. 144)","author":"DJ Dubois","year":"1980","unstructured":"Dubois DJ (1980) Fuzzy sets and systems: theory and applications (Vol. 144). Academic press, New York"},{"issue":"3","key":"400_CR13","doi-asserted-by":"crossref","first-page":"427","DOI":"10.1016\/j.fss.2005.05.040","volume":"156","author":"S Miyamoto","year":"2005","unstructured":"Miyamoto S (2005) Remarks on basics of fuzzy sets and fuzzy multisets. Fuzzy Sets Syst 156(3):427\u2013431","journal-title":"Fuzzy Sets Syst"},{"issue":"1","key":"400_CR14","doi-asserted-by":"crossref","first-page":"23","DOI":"10.1080\/03081078608934952","volume":"13","author":"RR Yager","year":"1986","unstructured":"Yager RR (1986) On the theory of bags. Int J Gen Syst 13(1):23\u201337","journal-title":"Int J Gen Syst"},{"key":"400_CR15","doi-asserted-by":"crossref","unstructured":"Miyamoto S. (2000). Multisets and fuzzy multisets. In Soft computing and human-centered machines (pp. 9-33). Springer, Tokyo","DOI":"10.1007\/978-4-431-67907-3_2"},{"issue":"6","key":"400_CR16","first-page":"529","volume":"25","author":"V Torra","year":"2010","unstructured":"Torra V (2010) Hesitant fuzzy sets. Int J Intell Syst 25(6):529\u2013539","journal-title":"Int J Intell Syst"},{"issue":"5","key":"400_CR17","doi-asserted-by":"crossref","first-page":"410","DOI":"10.1002\/int.20474","volume":"26","author":"ZS Xu","year":"2011","unstructured":"Xu ZS, Xia MM (2011) On distance and correlation measures of hesitant fuzzy information. Int J Intell Syst 26(5):410\u2013425","journal-title":"Int J Intell Syst"},{"issue":"3","key":"400_CR18","doi-asserted-by":"crossref","first-page":"395","DOI":"10.1016\/j.ijar.2010.09.002","volume":"52","author":"MM Xia","year":"2011","unstructured":"Xia MM, Xu ZS (2011) Hesitant fuzzy information aggregation in decision making. Int J Approx Reason 52(3):395\u2013407","journal-title":"Int J Approx Reason"},{"issue":"2","key":"400_CR19","doi-asserted-by":"crossref","first-page":"259","DOI":"10.1007\/s10726-011-9261-7","volume":"22","author":"MM Xia","year":"2013","unstructured":"Xia MM, Xu ZS, Chen N (2013) Some hesitant fuzzy aggregation operators with their application in group decision making. Group Decis Negot 22(2):259\u2013279","journal-title":"Group Decis Negot"},{"key":"400_CR20","doi-asserted-by":"crossref","first-page":"72","DOI":"10.1016\/j.ins.2012.01.048","volume":"205","author":"B Zhu","year":"2012","unstructured":"Zhu B, Xu ZS, Xia MM (2012) Hesitant fuzzy geometric Bonferroni means. Inf Sci 205:72\u201385","journal-title":"Inf Sci"},{"issue":"1","key":"400_CR21","doi-asserted-by":"crossref","first-page":"35","DOI":"10.1109\/TFUZZ.2013.2245136","volume":"22","author":"B Zhu","year":"2014","unstructured":"Zhu B, Xu ZS (2014) Consistency measures for hesitant fuzzy linguistic preference relations. IEEE Trans Fuzzy Syst 22(1):35\u201345","journal-title":"IEEE Trans Fuzzy Syst"},{"issue":"12","key":"400_CR22","doi-asserted-by":"crossref","first-page":"1831","DOI":"10.1057\/jors.2013.7","volume":"64","author":"B Zhu","year":"2013","unstructured":"Zhu B, Xu ZS (2013) Hesitant fuzzy Bonferroni means for multi-criteria decision making. J Oper Res Soc 64(12):1831\u20131840","journal-title":"J Oper Res Soc"},{"key":"400_CR23","doi-asserted-by":"publisher","first-page":"13","DOI":"10.1155\/2012\/879629","volume":"879629","author":"B Zhu","year":"2012","unstructured":"Zhu B, Xu ZS, Xia MM (2012) Dual hesitant fuzzy sets. J Appl Math. 879629:13. doi: 10.1155\/2012\/879629","journal-title":"J Appl Math."},{"issue":"5","key":"400_CR24","doi-asserted-by":"crossref","first-page":"2547","DOI":"10.3233\/IFS-130926","volume":"26","author":"Y Chen","year":"2014","unstructured":"Chen Y, Peng X, Guan G, Jiang H (2014) Approaches to multiple attribute decision making based on the correlation coefficient with dual hesitant fuzzy information. J Intell Fuzzy Syst 26(5):2547\u20132556","journal-title":"J Intell Fuzzy Syst"},{"key":"400_CR25","doi-asserted-by":"crossref","first-page":"1657","DOI":"10.3233\/IFS-130845","volume":"26","author":"B Zhu","year":"2014","unstructured":"Zhu B, Xu ZS (2014) Some results for dual hesitant fuzzy sets. J Intell Fuzzy Syst 26:1657\u20131668","journal-title":"J Intell Fuzzy Syst"},{"issue":"2","key":"400_CR26","doi-asserted-by":"crossref","first-page":"184","DOI":"10.1002\/int.21633","volume":"29","author":"B Farhadinia","year":"2014","unstructured":"Farhadinia B (2014) Correlation for dual hesitant fuzzy sets and dual interval-valued hesitant fuzzy sets. Int J Intell Syst 29(2):184\u2013205","journal-title":"Int J Intell Syst"},{"key":"400_CR27","first-page":"12","volume":"593739","author":"L Wang","year":"2013","unstructured":"Wang L, Ni M, Zhu L (2013) Correlation measures of dual hesitant fuzzy sets. J Appl Math 593739:12","journal-title":"J Appl Math"},{"issue":"2","key":"400_CR28","doi-asserted-by":"crossref","first-page":"659","DOI":"10.1016\/j.apm.2013.07.010","volume":"38","author":"J Ye","year":"2014","unstructured":"Ye J (2014) Correlation coefficient of dual hesitant fuzzy sets and its application to multiple attribute decision making. Appl Math Model 38(2):659\u2013666","journal-title":"Appl Math Model"},{"issue":"5","key":"400_CR29","doi-asserted-by":"crossref","first-page":"2281","DOI":"10.3233\/IFS-130901","volume":"26","author":"H Wang","year":"2014","unstructured":"Wang H, Zhao XF, Wei GW (2014) Dual hesitant fuzzy aggregation operators in multiple attribute decision making. J Intell Fuzzy Syst 26(5):2281\u20132290","journal-title":"J Intell Fuzzy Syst"},{"key":"400_CR30","volume-title":"Aggregation functions: a guide for practitioners","author":"G Beliakov","year":"2007","unstructured":"Beliakov G, Pradera A, Calvo T (2007) Aggregation functions: a guide for practitioners. Springer, Berlin"},{"issue":"2","key":"400_CR31","doi-asserted-by":"crossref","first-page":"1235","DOI":"10.1016\/j.asoc.2012.09.021","volume":"13","author":"DJ Yu","year":"2013","unstructured":"Yu DJ (2013) Intuitionistic fuzzy geometric Heronian mean aggregation operators. Appl Soft Comput 13(2):1235\u20131246","journal-title":"Appl Soft Comput"},{"issue":"11","key":"400_CR32","first-page":"4158","volume":"6","author":"DJ Yu","year":"2012","unstructured":"Yu DJ, Wu YY (2012) Interval-valued intuitionistic fuzzy Heronian mean operators and their application in multi-criteria decision making. Afr J Bus Manag 6(11):4158\u20134168","journal-title":"Afr J Bus Manag"},{"issue":"3\u20134","key":"400_CR33","first-page":"267","volume":"5","author":"C Bonferroni","year":"1950","unstructured":"Bonferroni C (1950) Sulle medie multiple di potenze. Bollettino dell\u2019Unione Matematica Italiana 5(3\u20134):267\u2013270","journal-title":"Bollettino dell\u2019Unione Matematica Italiana"},{"issue":"8","key":"400_CR34","doi-asserted-by":"crossref","first-page":"1279","DOI":"10.1016\/j.ijar.2009.06.004","volume":"50","author":"RR Yager","year":"2009","unstructured":"Yager RR (2009) On generalized Bonferroni mean operators for multi-criteria aggregation. Int J Approx Reaso 50(8):1279\u20131286","journal-title":"Int J Approx Reaso"},{"issue":"2","key":"400_CR35","doi-asserted-by":"crossref","first-page":"568","DOI":"10.1109\/TSMCB.2010.2072918","volume":"41","author":"ZS Xu","year":"2011","unstructured":"Xu ZS, Yager RR (2011) Intuitionistic fuzzy Bonferroni means. IEEE Trans Syst Man Cybern B Cybern 41(2):568\u2013578","journal-title":"IEEE Trans Syst Man Cybern B Cybern"},{"issue":"1","key":"400_CR36","doi-asserted-by":"crossref","first-page":"23","DOI":"10.1002\/int.20515","volume":"27","author":"MM Xia","year":"2012","unstructured":"Xia MM, Xu ZS, Zhu B (2012) Generalized intuitionistic fuzzy Bonferroni means. Int J Intell Syst 27(1):23\u201347","journal-title":"Int J Intell Syst"},{"key":"400_CR37","doi-asserted-by":"crossref","first-page":"88","DOI":"10.1016\/j.knosys.2012.11.013","volume":"40","author":"M Xia","year":"2013","unstructured":"Xia M, Xu Z, Zhu B (2013) Geometric Bonferroni means with their application in multi-criteria decision making. Knowl Based Syst 40:88\u2013100","journal-title":"Knowl Based Syst"},{"issue":"2","key":"400_CR38","doi-asserted-by":"crossref","first-page":"610","DOI":"10.1109\/21.229476","volume":"23","author":"WL Gau","year":"1993","unstructured":"Gau WL, Buehrer DJ (1993) Vague sets. IEEE Trans Syst Man Cybern 23(2):610\u2013614","journal-title":"IEEE Trans Syst Man Cybern"},{"issue":"3","key":"400_CR39","doi-asserted-by":"crossref","first-page":"199","DOI":"10.1016\/0020-0255(75)90036-5","volume":"8","author":"LA Zadeh","year":"1975","unstructured":"Zadeh LA (1975) The concept of a linguistic variable and its application to approximate reasoning\u2014I. Inf Sci 8(3):199\u2013249","journal-title":"Inf Sci"},{"issue":"3","key":"400_CR40","doi-asserted-by":"crossref","first-page":"343","DOI":"10.1016\/0165-0114(89)90205-4","volume":"31","author":"KT Atanassov","year":"1989","unstructured":"Atanassov KT, Gargov G (1989) Interval valued intuitionistic fuzzy sets. Fuzzy Sets Syst 31(3):343\u2013349","journal-title":"Fuzzy Sets Syst"},{"issue":"7","key":"400_CR41","doi-asserted-by":"crossref","first-page":"1213","DOI":"10.1016\/j.camwa.2004.06.035","volume":"49","author":"SJ Chen","year":"2005","unstructured":"Chen SJ, Chen SM (2005) Fuzzy information retrieval based on geometric-mean averaging operators. Comput Math Appl 49(7):1213\u20131231","journal-title":"Comput Math Appl"},{"issue":"4","key":"400_CR42","doi-asserted-by":"crossref","first-page":"417","DOI":"10.1080\/03081070600574353","volume":"35","author":"ZS Xu","year":"2006","unstructured":"Xu ZS, Yager RR (2006) Some geometric aggregation operators based on intuitionistic fuzzy sets. Int J Gen Syst 35(4):417\u2013433","journal-title":"Int J Gen Syst"},{"issue":"11","key":"400_CR43","doi-asserted-by":"crossref","first-page":"1049","DOI":"10.1002\/int.20498","volume":"26","author":"WZ Wang","year":"2011","unstructured":"Wang WZ, Liu XW (2011) Intuitionistic fuzzy geometric aggregation operators based on Einstein operations. Int J Intell Syst 26(11):1049\u20131075","journal-title":"Int J Intell Syst"},{"issue":"7","key":"400_CR44","doi-asserted-by":"crossref","first-page":"635","DOI":"10.1002\/int.21538","volume":"27","author":"DJ Yu","year":"2012","unstructured":"Yu DJ (2012) Group decision making based on generalized intuitionistic fuzzy prioritized geometric operator. Int J Intell Syst 27(7):635\u2013661","journal-title":"Int J Intell Syst"},{"issue":"4","key":"400_CR45","doi-asserted-by":"crossref","first-page":"460","DOI":"10.1016\/j.inffus.2013.02.001","volume":"14","author":"ZM Zhang","year":"2013","unstructured":"Zhang ZM (2013) Generalized Atanassov\u2019s intuitionistic fuzzy power geometric operators and their application to multiple attribute group decision making. Inf Fus 14(4):460\u2013486","journal-title":"Inf Fus"},{"issue":"10","key":"400_CR46","doi-asserted-by":"crossref","first-page":"1845","DOI":"10.1016\/j.camwa.2013.07.020","volume":"66","author":"WZ Wang","year":"2013","unstructured":"Wang WZ, Liu XW (2013) The multi-attribute decision making method based on interval-valued intuitionistic fuzzy Einstein hybrid weighted geometric operator. Comput Math Appl 66(10):1845\u20131856","journal-title":"Comput Math Appl"},{"issue":"2","key":"400_CR47","doi-asserted-by":"crossref","first-page":"471","DOI":"10.3233\/IFS-120652","volume":"25","author":"DJ Yu","year":"2013","unstructured":"Yu DJ (2013) Decision making based on generalized geometric operator under interval-valued intuitionistic fuzzy environment. J Intell Fuzzy Syst 25(2):471\u2013480","journal-title":"J Intell Fuzzy Syst"},{"issue":"3","key":"400_CR48","doi-asserted-by":"crossref","first-page":"556","DOI":"10.1109\/TFUZZ.2008.924342","volume":"17","author":"XZ Wang","year":"2009","unstructured":"Wang XZ, Dong CR (2009) Improving generalization of fuzzy IF\u2013THEN rules by maximizing fuzzy entropy. IEEE Trans Fuzzy Syst 17(3):556\u2013567","journal-title":"IEEE Trans Fuzzy Syst"},{"issue":"8","key":"400_CR49","doi-asserted-by":"crossref","first-page":"1491","DOI":"10.1109\/TKDE.2011.67","volume":"24","author":"XZ Wang","year":"2012","unstructured":"Wang XZ, Dong LC, Yan JH (2012) Maximum ambiguity-based sample selection in fuzzy decision tree induction. IEEE Trans Knowl Data Eng 24(8):1491\u20131505","journal-title":"IEEE Trans Knowl Data Eng"},{"key":"400_CR50","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2014.2371479","author":"XZ Wang","year":"2014","unstructured":"Wang XZ, Xing HJ, Li Y, Hua Q, Dong CR, Pedrycz WA (2014) Study on relationship between generalization abilities and fuzziness of base classifiers in ensemble learning. IEEE Trans Fuzzy Syst. doi: 10.1109\/TFUZZ.2014.2371479","journal-title":"IEEE Trans Fuzzy Syst"},{"issue":"2","key":"400_CR51","doi-asserted-by":"crossref","first-page":"653","DOI":"10.1016\/j.cie.2011.11.036","volume":"62","author":"TC Chu","year":"2012","unstructured":"Chu TC, Varma R (2012) Evaluating suppliers via a multiple levels multiple criteria decision making method under fuzzy environment. Comput Ind Eng 62(2):653\u2013660","journal-title":"Comput Ind Eng"},{"issue":"7","key":"400_CR52","doi-asserted-by":"crossref","first-page":"8384","DOI":"10.1016\/j.eswa.2011.01.031","volume":"38","author":"D Dalalah","year":"2011","unstructured":"Dalalah D, Hayajneh M, Batieha F (2011) A fuzzy multi-criteria decision making model for supplier selection. Expert Syst Appl 38(7):8384\u20138391","journal-title":"Expert Syst Appl"},{"issue":"8","key":"400_CR53","doi-asserted-by":"crossref","first-page":"11363","DOI":"10.1016\/j.eswa.2009.03.039","volume":"36","author":"FE Boran","year":"2009","unstructured":"Boran FE, Gen\u00e7 S, Kurt M, Akay D (2009) A multi-criteria intuitionistic fuzzy group decision making for supplier selection with TOPSIS method. Expert Syst Appl 36(8):11363\u201311368","journal-title":"Expert Syst Appl"}],"container-title":["International Journal of Machine Learning and Cybernetics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s13042-015-0400-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s13042-015-0400-3\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s13042-015-0400-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s13042-015-0400-3","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,9,6]],"date-time":"2020-09-06T23:33:09Z","timestamp":1599435189000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s13042-015-0400-3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,8,8]]},"references-count":53,"journal-issue":{"issue":"5","published-print":{"date-parts":[[2016,10]]}},"alternative-id":["400"],"URL":"https:\/\/doi.org\/10.1007\/s13042-015-0400-3","relation":{},"ISSN":["1868-8071","1868-808X"],"issn-type":[{"value":"1868-8071","type":"print"},{"value":"1868-808X","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,8,8]]}}}