{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,5]],"date-time":"2026-06-05T14:15:03Z","timestamp":1780668903708,"version":"3.54.1"},"reference-count":56,"publisher":"Springer Science and Business Media LLC","issue":"8","license":[{"start":{"date-parts":[[2018,7,18]],"date-time":"2018-07-18T00:00:00Z","timestamp":1531872000000},"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. Fuzzy Syst."],"published-print":{"date-parts":[[2018,12]]},"DOI":"10.1007\/s40815-018-0523-2","type":"journal-article","created":{"date-parts":[[2018,7,18]],"date-time":"2018-07-18T18:36:17Z","timestamp":1531938977000},"page":"2517-2533","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":44,"title":["Entropy for Hesitant Fuzzy Sets Based on Hausdorff Metric with Construction of Hesitant Fuzzy TOPSIS"],"prefix":"10.1007","volume":"20","author":[{"given":"Zahid","family":"Hussain","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Miin-Shen","family":"Yang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2018,7,18]]},"reference":[{"key":"523_CR1","doi-asserted-by":"publisher","first-page":"292","DOI":"10.1016\/j.apm.2006.12.001","volume":"32","author":"MA Abo-Sinna","year":"2008","unstructured":"Abo-Sinna, M.A., Amer, A.H., Ibrahim, A.S.: Extension of TOPSIS for large scale multi-objective non-linear programming problems with block angular structure. Appl. Math. Model. 32, 292\u2013302 (2008)","journal-title":"Appl. Math. Model."},{"key":"523_CR2","doi-asserted-by":"publisher","first-page":"1162","DOI":"10.1002\/int.21623","volume":"28","author":"I Beg","year":"2013","unstructured":"Beg, I., Rashid, T.: TOPSIS for hesitant fuzzy linguistic terms sets. Int. J. Intell. Syst. 28, 1162\u20131171 (2013)","journal-title":"Int. J. Intell. Syst."},{"key":"523_CR3","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/S0165-0114(97)00377-1","volume":"114","author":"CL Chen","year":"2000","unstructured":"Chen, C.L.: Extension of the TOPSIS for group decision making under fuzzy environment. Fuzzy Sets Syst. 114, 1\u20139 (2000)","journal-title":"Fuzzy Sets Syst."},{"key":"523_CR4","doi-asserted-by":"publisher","first-page":"301","DOI":"10.1016\/S0019-9958(72)90199-4","volume":"20","author":"A Luca De","year":"1972","unstructured":"De Luca, A., Termini, S.: A definition of non-probabilistic entropy in the setting of fuzzy theory. Inf. Control 20, 301\u2013312 (1972)","journal-title":"Inf. Control"},{"key":"523_CR5","doi-asserted-by":"publisher","DOI":"10.1007\/s40815-017-0313-2","author":"S Faizi","year":"2017","unstructured":"Faizi, S., Rashid, T., Sa\u0142abun, W., Zafar, S., W\u0105tr\u00f3bski, J.: Decision making with uncertainty using hesitant fuzzy sets. Int. J. Fuzzy Syst. (2017). https:\/\/doi.org\/10.1007\/s40815-017-0313-2","journal-title":"Int. J. Fuzzy Syst."},{"key":"523_CR6","doi-asserted-by":"publisher","first-page":"129","DOI":"10.1016\/j.ins.2013.03.034","volume":"240","author":"B Farhadinia","year":"2013","unstructured":"Farhadinia, B.: Information measure for hesitant fuzzy sets and interval-valued hesitant fuzzy sets. Inf. Sci. 240, 129\u2013144 (2013)","journal-title":"Inf. Sci."},{"key":"523_CR7","doi-asserted-by":"publisher","DOI":"10.1007\/s40815-017-0379-x","author":"B Farhadinia","year":"2017","unstructured":"Farhadinia, B., Herrera-Viedma, E.: Entropy measures for hesitant fuzzy linguistic term sets using the concept of interval-transform hesitant fuzzy elements. Int. J. Fuzzy Syst. (2017). https:\/\/doi.org\/10.1007\/s40815-017-0379-x","journal-title":"Int. J. Fuzzy Syst."},{"key":"523_CR8","doi-asserted-by":"publisher","first-page":"225","DOI":"10.1016\/j.ins.2017.01.033","volume":"388\u2013389","author":"X Gou","year":"2017","unstructured":"Gou, X., Xu, Z.S., Liao, H.C.: Hesitant fuzzy linguistic entropy and cross entropy measures and alternative queuing method for multi criteria decision making. Inf. Sci. 388\u2013389, 225\u2013246 (2017)","journal-title":"Inf. Sci."},{"key":"523_CR9","doi-asserted-by":"publisher","first-page":"319","DOI":"10.1016\/j.fss.2003.08.005","volume":"148","author":"P Grzegorzewski","year":"2004","unstructured":"Grzegorzewski, P.: Distances between intuitionistic fuzzy sets and\/or interval-valued fuzzy sets based on the Hausdorff metric. Fuzzy Sets Syst. 148, 319\u2013328 (2004)","journal-title":"Fuzzy Sets Syst."},{"key":"523_CR10","doi-asserted-by":"publisher","first-page":"1603","DOI":"10.1016\/j.patrec.2004.06.006","volume":"25","author":"WL Hung","year":"2004","unstructured":"Hung, W.L., Yang, M.S.: Similarity measures of intuitionistic fuzzy sets based on Hausdorff distance. Pattern Recogit. Lett. 25, 1603\u20131611 (2004)","journal-title":"Pattern Recogit. Lett."},{"key":"523_CR11","doi-asserted-by":"publisher","first-page":"443","DOI":"10.1002\/int.20131","volume":"21","author":"WL Hung","year":"2006","unstructured":"Hung, W.L., Yang, M.S.: Fuzzy entropy on intuitionistic fuzzy sets. Int. J. Intell. Syst. 21, 443\u2013451 (2006)","journal-title":"Int. J. Intell. Syst."},{"key":"523_CR12","first-page":"519","volume":"4","author":"WL Hung","year":"2008","unstructured":"Hung, W.L., Yang, M.S.: On entropy of fuzzy sets. Int. J. Uncertain. Fuzziness Knowl Based Syst. 4, 519\u2013527 (2008)","journal-title":"Int. J. Uncertain. Fuzziness Knowl Based Syst."},{"key":"523_CR13","doi-asserted-by":"publisher","first-page":"850","DOI":"10.1109\/34.232073","volume":"15","author":"DP Huttenlocher","year":"1993","unstructured":"Huttenlocher, D.P., Klanderman, G.A., Rucklidge, W.J.: Comparing images using the Hausdorff distance. IEEE Trans. Pattern Anal. Mach. Intell. 15, 850\u2013863 (1993)","journal-title":"IEEE Trans. Pattern Anal. Mach. Intell."},{"key":"523_CR14","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-48318-9","volume-title":"Multiple Attribute Decision Making: Methods and Applications","author":"CL Hwang","year":"1981","unstructured":"Hwang, C.L., Yoon, K.: Multiple Attribute Decision Making: Methods and Applications. Springer, New York (1981)"},{"key":"523_CR15","doi-asserted-by":"publisher","first-page":"97","DOI":"10.1016\/j.eij.2014.03.002","volume":"15","author":"D Joshi","year":"2014","unstructured":"Joshi, D., Kumar, S.: Intuitionistic fuzzy entropy and distance measure based on TOPSIS method for multi-criteria decision making. Egypt Inform. J. 15, 97\u2013104 (2014)","journal-title":"Egypt Inform. J."},{"key":"523_CR16","doi-asserted-by":"publisher","first-page":"2005","DOI":"10.1016\/S0031-3203(00)00132-1","volume":"34","author":"OK Kwon","year":"2001","unstructured":"Kwon, O.K., Sim, D.G., Park, R.H.: Robust Hausdorff distance matching algorithms using pyramidal structures. Pattern Recognit. 34, 2005\u20132013 (2001)","journal-title":"Pattern Recognit."},{"key":"523_CR17","doi-asserted-by":"publisher","first-page":"28","DOI":"10.1016\/j.asoc.2014.03.008","volume":"21","author":"M Li","year":"2014","unstructured":"Li, M., Jin, L., Wang, J.: A new MCDM method combining QFD with TOPSIS for knowledge management system selection from the user\u2019s perspective in intuitionistic fuzzy environment. Appl. Soft Comput. 21, 28\u201337 (2014)","journal-title":"Appl. Soft Comput."},{"key":"523_CR18","doi-asserted-by":"publisher","first-page":"125","DOI":"10.1016\/j.ins.2014.02.125","volume":"271","author":"HC Liao","year":"2014","unstructured":"Liao, H.C., Xu, Z.S., Xia, M.M.: Distance & similarity measures for hesitant fuzzy linguistic term sets and their application in multi-criteria decision making. Inf. Sci. 271, 125\u2013142 (2014)","journal-title":"Inf. Sci."},{"key":"523_CR19","doi-asserted-by":"publisher","DOI":"10.1007\/s40815-018-0460-0","author":"D Liu","year":"2018","unstructured":"Liu, D., Chen, X., Peng, D.: Distance measures for hesitant fuzzy linguistic sets and their application in multiple criteria decision making. Int. J. Fuzzy Syst. (2018). https:\/\/doi.org\/10.1007\/s40815-018-0460-0","journal-title":"Int. J. Fuzzy Syst."},{"key":"523_CR20","doi-asserted-by":"publisher","DOI":"10.1007\/s40815-016-0272-z","author":"W Liu","year":"2017","unstructured":"Liu, W., Liao, H.C.: A bibliometric analysis of fuzzy decision research during 1970\u20132015. Int. J. Fuzzy Syst. (2017). https:\/\/doi.org\/10.1007\/s40815-016-0272-z","journal-title":"Int. J. Fuzzy Syst."},{"key":"523_CR21","doi-asserted-by":"publisher","DOI":"10.1007\/s10700-013-9162-0","author":"HC Liao","year":"2013","unstructured":"Liao, H.C., Xu, Z.S.: A VIKOR-based method for hesitant fuzzy multi-criteria decision making. Fuzzy Optim. Decis. Mak. (2013). https:\/\/doi.org\/10.1007\/s10700-013-9162-0","journal-title":"Fuzzy Optim. Decis. Mak."},{"key":"523_CR22","doi-asserted-by":"publisher","DOI":"10.1142\/s0219622014500035","volume-title":"Multiplicative consistency of hesitant fuzzy preference relation and its application in group decision making","author":"HC Liao","year":"2014","unstructured":"Liao, H.C., Xu, Z.S., Xia, M.M.: Multiplicative consistency of hesitant fuzzy preference relation and its application in group decision making. J. Inf. Technol. Decis. Mak., Int (2014). https:\/\/doi.org\/10.1142\/s0219622014500035"},{"key":"523_CR23","doi-asserted-by":"crossref","first-page":"1601","DOI":"10.3233\/IFS-130841","volume":"26","author":"HC Liao","year":"2014","unstructured":"Liao, H.C., Xu, Z.S., Xia, M.M.: Some new hybrid weighted aggregation operators under hesitant fuzzy multi-criteria decision making environment. J. Intell. Fuzzy Syst. 26, 1601\u20131617 (2014)","journal-title":"J. Intell. Fuzzy Syst."},{"key":"523_CR24","doi-asserted-by":"publisher","DOI":"10.1007\/s40815-017-0432-9","author":"HC Liao","year":"2017","unstructured":"Liao, H.C., Xu, Z.S., Herrera-Viedma, E.: Hesitant fuzzy linguistic term set and its application in decision making: a state-of-the-art-survey. Int. J. Fuzzy Syst. (2017). https:\/\/doi.org\/10.1007\/s40815-017-0432-9","journal-title":"Int. J. Fuzzy Syst."},{"key":"523_CR25","doi-asserted-by":"crossref","first-page":"65","DOI":"10.3233\/IFS-130978","volume":"27","author":"HC Liao","year":"2014","unstructured":"Liao, H.C., Xu, Z.S.: Subtraction and division operations over hesitant fuzzy sets. J. Intell. Fuzzy Syst. 27, 65\u201372 (2014)","journal-title":"J. Intell. Fuzzy Syst."},{"key":"523_CR26","doi-asserted-by":"publisher","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":"523_CR27","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2014.2360556","author":"HC Liao","year":"2015","unstructured":"Liao, H.C., Xu, Z.S., Zeng, X.J.: Hesitant fuzzy linguistic VIKOR method and its application in qualitative multiple criteria decision making. IEEE Trans. Fuzzy Syst. (2015). https:\/\/doi.org\/10.1109\/TFUZZ.2014.2360556","journal-title":"IEEE Trans. Fuzzy Syst."},{"key":"523_CR28","doi-asserted-by":"publisher","first-page":"1827","DOI":"10.1016\/S0031-3203(03)00011-6","volume":"36","author":"KH Lin","year":"2003","unstructured":"Lin, K.H., Lam, K.M., Siu, W.C.: Spatially eigen-weighted Hausdorff distances for human face recognition. Pattern Recognit. 36, 1827\u20131834 (2003)","journal-title":"Pattern Recognit."},{"key":"523_CR29","doi-asserted-by":"publisher","DOI":"10.3233\/IFS-141186","author":"QH Liu","year":"2014","unstructured":"Liu, Q.H.: An extended TOPSIS method for multiple attribute decision making problems with unknown weight based on 2-dimension uncertain linguistic variables. J. Intell. Fuzzy Syst. (2014). https:\/\/doi.org\/10.3233\/IFS-141186","journal-title":"J. Intell. Fuzzy Syst."},{"key":"523_CR30","doi-asserted-by":"publisher","first-page":"445","DOI":"10.1007\/s12559-014-9313-9","volume":"7","author":"F Meng","year":"2015","unstructured":"Meng, F., Chen, X.: Correlation coefficients of hesitant fuzzy sets and their application based on fuzzy measures. Cogn. Comput. 7, 445\u2013463 (2015)","journal-title":"Cogn. Comput."},{"key":"523_CR31","doi-asserted-by":"publisher","first-page":"17","DOI":"10.1002\/int.21741","volume":"31","author":"F Meng","year":"2016","unstructured":"Meng, F., Chen, W., Chen, X., Zhang, Q.: Correlation coefficients of interval-valued hesitant fuzzy sets and their application based on Shapley function. Int. J. Intell. Syst. 31, 17\u201343 (2016)","journal-title":"Int. J. Intell. Syst."},{"key":"523_CR32","doi-asserted-by":"publisher","first-page":"114","DOI":"10.1080\/01969722.2016.1263522","volume":"48","author":"F Meng","year":"2017","unstructured":"Meng, F., Chen, X.: Correlation coefficient of interval-valued intuitionistic uncertain linguistic sets and its application. Cybern. Syst. 48, 114\u2013135 (2017)","journal-title":"Cybern. Syst."},{"key":"523_CR33","volume-title":"Hyperspaces of Sets","author":"SB Nalder Jr","year":"1978","unstructured":"Nalder Jr., S.B.: Hyperspaces of Sets. Marcel Dekker, New York (1978)"},{"key":"523_CR34","doi-asserted-by":"crossref","unstructured":"Olson, C.F.: A probabilistic formulation for Hausdorff matching. In: Proceedings of IEEE Computer Society Conference on Computer Vision and Pattern Recognition, pp. 150\u2013156 (1998)","DOI":"10.1109\/CVPR.1998.698602"},{"key":"523_CR35","doi-asserted-by":"publisher","first-page":"1260","DOI":"10.1109\/21.120079","volume":"21","author":"NR Pal","year":"1991","unstructured":"Pal, N.R., Pal, S.K.: Entropy, a new definition and its applications. IEEE Trans. Syst. Man Cybern. 21, 1260\u20131270 (1991)","journal-title":"IEEE Trans. Syst. Man Cybern."},{"key":"523_CR36","doi-asserted-by":"publisher","first-page":"119","DOI":"10.1016\/0020-0255(92)90090-U","volume":"66","author":"NR Pal","year":"1992","unstructured":"Pal, N.R., Pal, S.K.: Some properties of exponential entropy. Inf. Sci. 66, 119\u2013137 (1992)","journal-title":"Inf. Sci."},{"key":"523_CR37","doi-asserted-by":"publisher","first-page":"495","DOI":"10.1002\/int.21654","volume":"29","author":"RM Rodr\u00edguez","year":"2014","unstructured":"Rodr\u00edguez, R.M., Mart\u00ednez, L., Torra, V., Xu, Z.S., Herrera, F.: Hesitant fuzzy sets: state of arts and future directions. Int. J. Int. Syst. 29, 495\u2013524 (2014)","journal-title":"Int. J. Int. Syst."},{"key":"523_CR38","doi-asserted-by":"publisher","first-page":"123","DOI":"10.1016\/0020-0190(91)90233-8","volume":"38","author":"G Rote","year":"1991","unstructured":"Rote, G.: Computing the minimum Hausdorff distance between two point sets on a line under translation. Inf. Process. Lett. 38, 123\u2013127 (1991)","journal-title":"Inf. Process. Lett."},{"key":"523_CR39","doi-asserted-by":"crossref","unstructured":"Torra, V., Narukawa, Y.: On hesitant fuzzy sets and decision. In: Proceedings of the 18th IEEE International Conference on Fuzzy Systems, pp. 1378\u20131382. Jeju Island, Korea (2009)","DOI":"10.1109\/FUZZY.2009.5276884"},{"key":"523_CR40","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":"523_CR41","doi-asserted-by":"publisher","first-page":"673","DOI":"10.3233\/IFS-2180","volume":"31","author":"C Wei","year":"2016","unstructured":"Wei, C., Yan, F., Rodriguez, R.M.: Entropy measure for hesitant fuzzy sets and their applications in multi-criteria decision-making. J. Intell. Fuzzy Syst. 31, 673\u2013685 (2016)","journal-title":"J. Intell. Fuzzy Syst."},{"key":"523_CR42","doi-asserted-by":"publisher","first-page":"65","DOI":"10.1016\/j.knosys.2013.06.019","volume":"52","author":"SP Wan","year":"2013","unstructured":"Wan, S.P., Wang, Q.Y., Dong, J.Y.: The extended VIKOR method for multi-attribute group decision making with triangular intuitionistic fuzzy numbers. Knowl. Based Syst. 52, 65\u201377 (2013)","journal-title":"Knowl. Based Syst."},{"key":"523_CR43","doi-asserted-by":"publisher","first-page":"2267","DOI":"10.1016\/S0031-3203(01)00197-2","volume":"27","author":"KL Wu","year":"2002","unstructured":"Wu, K.L., Yang, M.S.: Alternative c-means clustering algorithms. Pattern Recogit. 27, 2267\u20132278 (2002)","journal-title":"Pattern Recogit."},{"key":"523_CR44","doi-asserted-by":"publisher","first-page":"395","DOI":"10.1016\/j.ijar.2010.09.002","volume":"52","author":"MM Xia","year":"2011","unstructured":"Xia, M.M., Xu, Z.S.: Hesitant fuzzy information aggregation in decision making. Int. J. Approx. Reason. 52, 395\u2013407 (2011)","journal-title":"Int. J. Approx. Reason."},{"key":"523_CR45","doi-asserted-by":"publisher","first-page":"2128","DOI":"10.1016\/j.ins.2011.01.028","volume":"181","author":"ZS Xu","year":"2011","unstructured":"Xu, Z.S., Xia, M.M.: Distance and similarity measures for hesitant fuzzy sets. Inf. Sci. 181, 2128\u20132138 (2011)","journal-title":"Inf. Sci."},{"key":"523_CR46","doi-asserted-by":"publisher","first-page":"799","DOI":"10.1002\/int.21548","volume":"27","author":"ZS Xu","year":"2012","unstructured":"Xu, Z.S., Xia, M.M.: Hesitant fuzzy entropy and cross entropy and their use in multiattribute decision making. Int. J. Intell. Syst. 27, 799\u2013822 (2012)","journal-title":"Int. J. Intell. Syst."},{"key":"523_CR47","doi-asserted-by":"publisher","first-page":"53","DOI":"10.1016\/j.knosys.2013.05.011","volume":"52","author":"ZS Xu","year":"2013","unstructured":"Xu, Z.S., Zhang, X.L.: Hesitant fuzzy multiattribute decision making based on TOPSIS with incomplete weight information. Knowl. Based Syst. 52, 53\u201364 (2013)","journal-title":"Knowl. Based Syst."},{"key":"523_CR48","doi-asserted-by":"publisher","first-page":"221","DOI":"10.1080\/03081077908547452","volume":"5","author":"RR Yager","year":"1979","unstructured":"Yager, R.R.: On the measure of fuzziness and negation, part 1: membership in the unit interval. Int. J. Gen. Syst. 5, 221\u2013229 (1979)","journal-title":"Int. J. Gen. Syst."},{"key":"523_CR49","doi-asserted-by":"publisher","first-page":"434","DOI":"10.1109\/TPAMI.2004.1265860","volume":"26","author":"MS Yang","year":"2004","unstructured":"Yang, M.S., Wu, K.L.: A similarity-based robust clustering method. IEEE Trans. Pattern Anal. Mach. Intell. 26, 434\u2013448 (2004)","journal-title":"IEEE Trans. Pattern Anal. Mach. Intell."},{"key":"523_CR50","doi-asserted-by":"publisher","first-page":"177","DOI":"10.1016\/S0020-0255(71)80005-1","volume":"3","author":"LA Zadeh","year":"1971","unstructured":"Zadeh, L.A.: Similarity relations and fuzzy orderings. Inf. Sci. 3, 177\u2013200 (1971)","journal-title":"Inf. Sci."},{"key":"523_CR51","doi-asserted-by":"publisher","first-page":"338","DOI":"10.1016\/S0019-9958(65)90241-X","volume":"8","author":"LA Zadeh","year":"1965","unstructured":"Zadeh, L.A.: Fuzzy sets. Inf. Control 8, 338\u2013353 (1965)","journal-title":"Inf. Control"},{"key":"523_CR52","doi-asserted-by":"publisher","first-page":"267","DOI":"10.1016\/j.patrec.2016.11.001","volume":"84","author":"W Zeng","year":"2016","unstructured":"Zeng, W., Li, D., Yin, Q.: Distance and similarity measures between hesitant fuzzy sets and their applications in pattern recognitions. Pattern Recogit. Lett. 84, 267\u2013271 (2016)","journal-title":"Pattern Recogit. Lett."},{"key":"523_CR53","doi-asserted-by":"publisher","first-page":"982","DOI":"10.1007\/s40815-016-0219-4","volume":"19","author":"Z Zhang","year":"2017","unstructured":"Zhang, Z.: A framework of group decision making with hesitant fuzzy preference relations based on multiplicative consistency. Int. J. Fuzzy Syst. 19, 982\u2013996 (2017)","journal-title":"Int. J. Fuzzy Syst."},{"key":"523_CR54","first-page":"2279","volume":"28","author":"X Zhang","year":"2015","unstructured":"Zhang, X., Xu, Z.S.: Novel distance and similarity measures on hesitant fuzzy sets with application on cluster analysis. J. Intell. Fuzzy Syst. 28, 2279\u20132296 (2015)","journal-title":"J. Intell. Fuzzy Syst."},{"key":"523_CR55","doi-asserted-by":"publisher","first-page":"685","DOI":"10.1007\/s40815-015-0099-z","volume":"18","author":"H Zhao","year":"2016","unstructured":"Zhao, H., Xu, Z.S., Cui, F.: Generalized hesitant fuzzy harmonic mean operators and their applications in group decision making. Int. J. Fuzzy Syst. 18, 685\u2013696 (2016)","journal-title":"Int. J. Fuzzy Syst."},{"key":"523_CR56","doi-asserted-by":"publisher","first-page":"1328","DOI":"10.1109\/TCYB.2013.2283021","volume":"44","author":"B Zhu","year":"2014","unstructured":"Zhu, B., Xu, Z.S.: Deriving a ranking from hesitant fuzzy preference relations under group decision making. IEEE Trans. Cybern. 44, 1328\u20131337 (2014)","journal-title":"IEEE Trans. Cybern."}],"container-title":["International Journal of Fuzzy Systems"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s40815-018-0523-2\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s40815-018-0523-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s40815-018-0523-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,7,5]],"date-time":"2025-07-05T21:48:44Z","timestamp":1751752124000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s40815-018-0523-2"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,7,18]]},"references-count":56,"journal-issue":{"issue":"8","published-print":{"date-parts":[[2018,12]]}},"alternative-id":["523"],"URL":"https:\/\/doi.org\/10.1007\/s40815-018-0523-2","relation":{},"ISSN":["1562-2479","2199-3211"],"issn-type":[{"value":"1562-2479","type":"print"},{"value":"2199-3211","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,7,18]]},"assertion":[{"value":"11 November 2017","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"10 May 2018","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"2 July 2018","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"18 July 2018","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}