{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,4,17]],"date-time":"2025-04-17T13:29:51Z","timestamp":1744896591830},"reference-count":53,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2015,12,14]],"date-time":"2015-12-14T00:00:00Z","timestamp":1450051200000},"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. &amp; Cyber."],"published-print":{"date-parts":[[2017,6]]},"DOI":"10.1007\/s13042-015-0452-4","type":"journal-article","created":{"date-parts":[[2015,12,14]],"date-time":"2015-12-14T12:34:49Z","timestamp":1450096489000},"page":"865-876","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["Hesitant interval-valued fuzzy sets: some new results"],"prefix":"10.1007","volume":"8","author":[{"given":"Rajkumar","family":"Verma","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2015,12,14]]},"reference":[{"issue":"1","key":"452_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"},{"key":"452_CR2","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-7908-1870-3","volume-title":"Intuitionistic Fuzzy Sets","author":"KT Atanassov","year":"1999","unstructured":"Atanassov KT (1999) Intuitionistic Fuzzy Sets. Springer Physica-Verlag, Heidelberg"},{"issue":"3","key":"452_CR3","doi-asserted-by":"crossref","first-page":"190","DOI":"10.1080\/12460125.2013.797320","volume":"22","author":"ZY Bai","year":"2013","unstructured":"Bai ZY (2013) Distance similarity measures for interval valued hesitant fuzzy sets and their application in multi criteria decision making. J Decis Syst 22(3):190\u2013201","journal-title":"J Decis Syst"},{"issue":"2","key":"452_CR4","doi-asserted-by":"crossref","first-page":"62","DOI":"10.13189\/ms.2014.020202","volume":"2","author":"S Broumi","year":"2014","unstructured":"Broumi S, Smarandache F (2014) New operations over interval valued intuitionistic hesitant fuzzy sets. Math Stat 2(2):62\u201371","journal-title":"Math Stat"},{"issue":"4","key":"452_CR5","doi-asserted-by":"crossref","first-page":"2197","DOI":"10.1016\/j.apm.2012.04.031","volume":"37","author":"N Chen","year":"2013","unstructured":"Chen N, Xu ZS, Xia M (2013) Correlation coefficients of hesitant fuzzy sets and their applications to clustering analysis. Appl Math Model 37(4):2197\u20132211","journal-title":"Appl Math Model"},{"issue":"1","key":"452_CR6","doi-asserted-by":"crossref","first-page":"143","DOI":"10.3233\/IFS-130985","volume":"27","author":"N Chen","year":"2014","unstructured":"Chen N, Xu ZS (2014) Properties of interval valued hesitant fuzzy sets. J Intell Fuzzy Syst 27(1):143\u2013158","journal-title":"J Intell Fuzzy Syst"},{"key":"452_CR7","doi-asserted-by":"crossref","first-page":"528","DOI":"10.1016\/j.knosys.2012.09.009","volume":"37","author":"N Chen","year":"2013","unstructured":"Chen N, Xu ZS, Xia M (2013) Interval valued hesitant preference relations and their applications to group decision making. Knowl Based Syst 37:528\u2013540","journal-title":"Knowl Based Syst"},{"key":"452_CR8","volume-title":"Fuzzy sets systems","author":"D Dubois","year":"1980","unstructured":"Dubois D, Prade H (1980) Fuzzy sets systems. Academic Press, New York"},{"issue":"8","key":"452_CR9","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1002\/int.21600","volume":"28","author":"B Farhadinia","year":"2013","unstructured":"Farhadinia B (2013) A novel method of ranking hesitant fuzzy values for multiple attribute decision making problems. Int J Intell Syst 28(8):1\u201316","journal-title":"Int J Intell Syst"},{"key":"452_CR10","doi-asserted-by":"crossref","first-page":"129","DOI":"10.1016\/j.ins.2013.03.034","volume":"240","author":"B Farhadinia","year":"2013","unstructured":"Farhadinia B (2013) Information measures for hesitant fuzzy sets and interval valued hesitant fuzzy sets. Inf Sci 240:129\u2013144","journal-title":"Inf Sci"},{"issue":"5","key":"452_CR11","doi-asserted-by":"crossref","first-page":"2263","DOI":"10.3233\/IFS-130899","volume":"26","author":"X Feng","year":"2014","unstructured":"Feng X, Zuo W, Wang J, Feng L (2014) Topsis method for hesitant fuzzy multiple attribute decision making. J Intell Fuzzy Syst 26(5):2263\u20132269","journal-title":"J Intell Fuzzy Syst"},{"issue":"6","key":"452_CR12","doi-asserted-by":"crossref","first-page":"282","DOI":"10.4156\/jcit.vol6.issue6.29","volume":"6","author":"X Gu","year":"2011","unstructured":"Gu X, Wang Y, Yang B (2011) A method for hesitant fuzzy multiple attribute decision making and its application to risk investment. J Converg Inf Technol 6(6):282\u2013287","journal-title":"J Converg Inf Technol"},{"issue":"4","key":"452_CR13","doi-asserted-by":"crossref","first-page":"373","DOI":"10.1007\/s10700-013-9162-0","volume":"12","author":"HC Liao","year":"2013","unstructured":"Liao HC, Xu ZS (2013) A VIKOR based method for hesitant fuzzy multi criteria decision making. Fuzzy Optim Decis Mak 12(4):373\u2013392","journal-title":"Fuzzy Optim Decis Mak"},{"issue":"4","key":"452_CR14","doi-asserted-by":"crossref","first-page":"1601","DOI":"10.3233\/IFS-130841","volume":"26","author":"HC Liao","year":"2014","unstructured":"Liao HC, Xu ZS (2014) Some new hybrid weighted aggregation operators under hesitant fuzzy multi criteria decision making environment. J Intell Fuzzy Syst 26(4):1601\u20131617","journal-title":"J Intell Fuzzy Syst"},{"issue":"1","key":"452_CR15","doi-asserted-by":"crossref","first-page":"47","DOI":"10.1142\/S0219622014500035","volume":"13","author":"HC Liao","year":"2014","unstructured":"Liao HC, Xu ZS, Xia MM (2014) Multiplicative consistency of hesitant fuzzy preference relation and its application in group decision making. Int J Inf Technol Decis Mak 13(1):47\u201376","journal-title":"Int J Inf Technol Decis Mak"},{"issue":"1","key":"452_CR16","doi-asserted-by":"crossref","first-page":"65","DOI":"10.3233\/IFS-130978","volume":"27","author":"HC Liao","year":"2014","unstructured":"Liao HC, Xu ZS (2014) Subtraction and division operations over hesitant fuzzy sets. J Intell Fuzzy Syst 27(1):65\u201372","journal-title":"J Intell Fuzzy Syst"},{"key":"452_CR17","doi-asserted-by":"crossref","first-page":"127","DOI":"10.1016\/j.knosys.2014.12.009","volume":"76","author":"HC Liao","year":"2015","unstructured":"Liao HC, Xu ZS, Zeng XJ, Merig\u00f3 JM (2015) Qualitative decision making with correlation coefficients of hesitant fuzzy linguistic term sets. Knowl Based Syst 76:127\u2013138","journal-title":"Knowl Based Syst"},{"issue":"5","key":"452_CR18","doi-asserted-by":"crossref","first-page":"2155","DOI":"10.3233\/IFS-130890","volume":"26","author":"R Lin","year":"2014","unstructured":"Lin R, Zhao XF, Wei GW (2014) Models for selecting an ERP system with hesitant fuzzy linguistic information. J Intell Fuzzy Syst 26(5):2155\u20132165","journal-title":"J Intell Fuzzy Syst"},{"key":"452_CR19","doi-asserted-by":"crossref","first-page":"420","DOI":"10.1016\/j.asoc.2014.10.035","volume":"27","author":"JM Merig\u00f3","year":"2014","unstructured":"Merig\u00f3 JM, Gil-Lafuente AM, Yager RR (2014) An overview of fuzzy research with bibliometric indicators. Appl Soft Comput 27:420\u2013433","journal-title":"Appl Soft Comput"},{"issue":"1","key":"452_CR20","doi-asserted-by":"crossref","first-page":"109","DOI":"10.1109\/TFUZZ.2011.2170076","volume":"20","author":"RM Rodr\u00edguez","year":"2012","unstructured":"Rodr\u00edguez RM, Mart\u00ednez L, Herrera F (2012) Hesitant fuzzy linguistic term sets for decision making. IEEE Trans Fuzzy Syst 20(1):109\u2013119","journal-title":"IEEE Trans Fuzzy Syst"},{"key":"452_CR21","doi-asserted-by":"crossref","unstructured":"Torra V, Narukawa Y (2009) On hesitant fuzzy sets and decision. In: The 18th IEEE international conference on fuzzy systems, Jeju Island, Korea, pp 1378\u20131382","DOI":"10.1109\/FUZZY.2009.5276884"},{"issue":"6","key":"452_CR22","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"},{"key":"452_CR23","doi-asserted-by":"publisher","DOI":"10.3233\/IFS-151568","author":"R Verma","year":"2015","unstructured":"Verma R, Sharma BD (2015) Operations on hesitant fuzzy sets: some new results. J Intell Fuzzy Syst. doi: 10.3233\/IFS-151568","journal-title":"J Intell Fuzzy Syst"},{"issue":"2","key":"452_CR24","doi-asserted-by":"crossref","first-page":"129","DOI":"10.1007\/s12543-013-0137-1","volume":"5","author":"R Verma","year":"2013","unstructured":"Verma R, Sharma BD (2013) New operations over hesitant fuzzy sets. Fuzzy Inf Eng 5(2):129\u2013146","journal-title":"Fuzzy Inf Eng"},{"issue":"12","key":"452_CR25","first-page":"418","volume":"5","author":"XR Wang","year":"2011","unstructured":"Wang XR, Zhao ZH, Zhao XF, Wei G (2011) Model for evaluating the government archives website\u2019s construction based on the GHFHWD measure with hesitant fuzzy information. J Digit Content Technol Appl 5(12):418\u2013425","journal-title":"J Digit Content Technol Appl"},{"issue":"4","key":"452_CR26","doi-asserted-by":"crossref","first-page":"789","DOI":"10.3233\/IFS-2012-0598","volume":"24","author":"GW Wei","year":"2013","unstructured":"Wei GW, Zhao XF (2013) Induced hesitant interval-valued fuzzy Einstein aggregation operators and their applications to multiple attribute group decision making. J Intell Fuzzy Syst 24(4):789\u2013803","journal-title":"J Intell Fuzzy Syst"},{"issue":"1","key":"452_CR27","doi-asserted-by":"crossref","first-page":"19","DOI":"10.3233\/IFS-130975","volume":"27","author":"GW Wei","year":"2014","unstructured":"Wei GW, Lin R, Wang H (2014) Distance and similarity measures on hesitant interval valued fuzzy sets. J Intell Fuzzy Syst 27(1):19\u201336","journal-title":"J Intell Fuzzy Syst"},{"issue":"4","key":"452_CR28","doi-asserted-by":"crossref","first-page":"1631","DOI":"10.3233\/IFS-130843","volume":"26","author":"GW Wei","year":"2014","unstructured":"Wei GW, Zhao XF, Lin R, Wang H (2014) Models for hesitant interval valued fuzzy multiple attribute decision making based on the correlation coefficient with incomplete weight information. J Intell Fuzzy Syst 26(4):1631\u20131644","journal-title":"J Intell Fuzzy Syst"},{"key":"452_CR29","doi-asserted-by":"crossref","first-page":"43","DOI":"10.1016\/j.knosys.2013.03.004","volume":"46","author":"G Wei","year":"2013","unstructured":"Wei G, Zhao XF, Lin R (2013) Some hesitant interval valued fuzzy aggregation operators and their applications to multiple attribute decision making. Knowl Based Syst 46:43\u201353","journal-title":"Knowl Based Syst"},{"issue":"1","key":"452_CR30","doi-asserted-by":"crossref","first-page":"259","DOI":"10.3233\/IFS-120734","volume":"26","author":"GW Wei","year":"2014","unstructured":"Wei GW, Zhao XF, Lin R, Wang H (2014) Approaches to hesitant fuzzy multiple attribute decision making with incomplete weight information. J Intell Fuzzy Syst 26(1):259\u2013266","journal-title":"J Intell Fuzzy Syst"},{"issue":"2","key":"452_CR31","first-page":"441","volume":"15","author":"G Wei","year":"2012","unstructured":"Wei G, Zhao XF, Wang HJ, Lin R (2012) Hesitant fuzzy Choquet integral aggregation operators and their applications to multiple attribute decision making. Inf: Interdiscip J 15(2):441\u2013448","journal-title":"Inf: Interdiscip J"},{"key":"452_CR32","doi-asserted-by":"crossref","first-page":"176","DOI":"10.1016\/j.knosys.2012.03.011","volume":"31","author":"G Wei","year":"2012","unstructured":"Wei G (2012) Hesitant fuzzy prioritized operators and their application to multiple attribute decision making. Knowl Based Syst 31:176\u2013182","journal-title":"Knowl Based Syst"},{"issue":"3","key":"452_CR33","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":"452_CR34","doi-asserted-by":"crossref","first-page":"201","DOI":"10.1142\/S0218488511006976","volume":"19","author":"MM Xia","year":"2011","unstructured":"Xia MM, Xu ZS, Chen N (2011) Induced aggregation under confidence levels. Int J Uncertainty Fuzziness Knowl-Based Syst 19(2):201\u2013227","journal-title":"Int J Uncertainty Fuzziness Knowl-Based Syst"},{"issue":"2","key":"452_CR35","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 decision making. Group Decis Negot 22(2):259\u2013279","journal-title":"Group Decis Negot"},{"issue":"9","key":"452_CR36","doi-asserted-by":"crossref","first-page":"799","DOI":"10.1002\/int.21548","volume":"27","author":"ZS Xu","year":"2012","unstructured":"Xu ZS, Xia MM (2012) Hesitant fuzzy entropy measures and their use in multi attribute decision making. Int J Intell Syst 27(9):799\u2013822","journal-title":"Int J Intell Syst"},{"issue":"11","key":"452_CR37","doi-asserted-by":"crossref","first-page":"2128","DOI":"10.1016\/j.ins.2011.01.028","volume":"181","author":"ZS Xu","year":"2011","unstructured":"Xu ZS, Xia MM (2011) Distance and similarity measures on hesitant fuzzy sets. Inf Sci 181(11):2128\u20132138","journal-title":"Inf Sci"},{"issue":"5","key":"452_CR38","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"},{"key":"452_CR39","first-page":"53","volume":"52","author":"ZS Xu","year":"2012","unstructured":"Xu ZS, Zhang X (2012) Hesitant fuzzy multiple attribute decision making based on TOPSIS with incomplete weight information. Knowl Based Syst 52:53\u201364","journal-title":"Knowl Based Syst"},{"issue":"4","key":"452_CR40","first-page":"533","volume":"22","author":"ZS Xu","year":"2014","unstructured":"Xu ZS, Zhang X (2014) Satisfaction degree based interactive decision making method under hesitant fuzzy environment with incomplete weights. Int J Uncertainty Fuzziness Knowledge Based Syst 22(4):533\u2013572","journal-title":"Int J Uncertainty Fuzziness Knowledge Based Syst"},{"issue":"1","key":"452_CR41","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":"452_CR42","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.knosys.2013.04.010","volume":"52","author":"D Yu","year":"2013","unstructured":"Yu D, Zhang W, Xu Y (2013) Group decision making under hesitant fuzzy environment with application to personnel evaluation. Knowl Based Syst 52:1\u201310","journal-title":"Knowl Based Syst"},{"issue":"3","key":"452_CR43","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":"1","key":"452_CR44","doi-asserted-by":"crossref","first-page":"4938","DOI":"10.1016\/j.apm.2012.10.002","volume":"37","author":"N Zhang","year":"2013","unstructured":"Zhang N, Wei G (2013) Extension of VIKOR method for decision making problem based on hesitant fuzzy set. Appl Math Model 37(1):4938\u20134947","journal-title":"Appl Math Model"},{"issue":"2","key":"452_CR45","doi-asserted-by":"crossref","first-page":"1065","DOI":"10.3233\/IFS-130798","volume":"26","author":"N Zhang","year":"2014","unstructured":"Zhang N, Wei G (2014) A multiple criteria hesitant fuzzy decision making with Shapley value based VIKOR method. J Intell Fuzzy Syst 26(2):1065\u20131075","journal-title":"J Intell Fuzzy Syst"},{"issue":"3","key":"452_CR46","doi-asserted-by":"crossref","first-page":"562","DOI":"10.1080\/00207721.2013.797037","volume":"46","author":"X Zhang","year":"2015","unstructured":"Zhang X, Xu ZS (2015) Hesitant fuzzy agglomerative hierarchical clustering algorithms. Int J Syst Sci 46(3):562\u2013576","journal-title":"Int J Syst Sci"},{"issue":"2","key":"452_CR47","doi-asserted-by":"crossref","first-page":"839","DOI":"10.3233\/IFS-131042","volume":"27","author":"Y Zhang","year":"2014","unstructured":"Zhang Y (2014) Models for decision making problems with hesitant fuzzy information. J Intell Fuzzy Syst 27(2):839\u2013847","journal-title":"J Intell Fuzzy Syst"},{"key":"452_CR48","doi-asserted-by":"crossref","first-page":"150","DOI":"10.1016\/j.ins.2013.01.002","volume":"234","author":"ZM Zhang","year":"2013","unstructured":"Zhang ZM (2013) Hesitant fuzzy power aggregation operators and their applications to multiple attribute group decision making. Inf Sci 234:150\u2013181","journal-title":"Inf Sci"},{"key":"452_CR49","first-page":"325","volume":"26","author":"L Zhou","year":"2015","unstructured":"Zhou L, Zhao XF, Wei GW (2015) Hesitant fuzzy Hamacher aggregation operators and their application to multiple attribute decision making. J Intell Fuzzy Syst 26:325\u2013349","journal-title":"J Intell Fuzzy Syst"},{"key":"452_CR50","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 64:1831\u20131840","journal-title":"J Oper Res Soc"},{"issue":"8","key":"452_CR51","doi-asserted-by":"crossref","first-page":"1328","DOI":"10.1109\/TCYB.2013.2283021","volume":"44","author":"B Zhu","year":"2014","unstructured":"Zhu B, Xu ZS, Xu J (2014) Deriving a ranking from hesitant fuzzy preference relations under group decision making. IEEE Trans Cybern 44(8):1328\u20131337","journal-title":"IEEE Trans Cybern"},{"issue":"3","key":"452_CR52","first-page":"645","volume":"41","author":"B Zhu","year":"2012","unstructured":"Zhu B, Xu ZS, Xu J (2012) A MST cluster analysis method under hesitant fuzzy environment. Control Cybern 41(3):645\u2013666","journal-title":"Control Cybern"},{"issue":"1","key":"452_CR53","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(1):72\u201385","journal-title":"Inf Sci"}],"container-title":["International Journal of Machine Learning and Cybernetics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s13042-015-0452-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s13042-015-0452-4\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s13042-015-0452-4","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s13042-015-0452-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,5,29]],"date-time":"2022-05-29T06:02:23Z","timestamp":1653804143000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s13042-015-0452-4"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,12,14]]},"references-count":53,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2017,6]]}},"alternative-id":["452"],"URL":"https:\/\/doi.org\/10.1007\/s13042-015-0452-4","relation":{},"ISSN":["1868-8071","1868-808X"],"issn-type":[{"value":"1868-8071","type":"print"},{"value":"1868-808X","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,12,14]]}}}