[1] Saaty T L. A scaling method for priorities in hierarchical structures[J]. Journal of Mathematical Psychology, 1977, 15:234-281.
[2] Saaty T L. The analytic hierarchy process[M]. New York:Mcgraw-Hill, 1980.
[3] Zadeh L A. Fuzzy sets[J]. Information and Control, 1965, 8(3):338-356.
[4] Orlorski S A. Decision-making with a fuzzy preference relation[J]. Fuzzy Sets and Systems, 1978, 3:155-167.
[5] Tanino T. Fuzzy preference orderings in group decision making[J]. Fuzzy Sets and Systems, 1984, 12:117-131.
[6] Torra V. Hesitant fuzzy sets[J]. International Journal of Intelligent Systems, 2010, 25(6):529-539.
[7] Xia M M, Xu Z S. Managing hesitant information in GDM problems under fuzzy and multiplicative preference relation[J]. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2013, 21(6):865-897.
[8] Rodríguez R M, Martínez L, Torra V, et al. Hesitant fuzzy sets:State of the art and future directions[J]. International Journal of Intelligent Systems, 2014, 29(6):495-524.
[9] Liao H C, Xu Z S, Herrera-Videma E, et al. Hesitant fuzzy linguistic term set and its application in decision making:A state-of-the-art survey[J]. International Journal of Fuzzy Systems, 2018, 20(7):2084-2110.
[10] 徐泽水, 赵华. 犹豫模糊集理论及应用[M]. 北京:科学出版社, 2018.
[11] Xu Z S. On compatibility of interval fuzzy preference relations[J]. Fuzzy Optimization and Decision Making, 2004, 3(3):217-225.
[12] Genç S F E, Akay D, Xu Z S. Interval multiplicative transitivity for consistency, missing values and priority weights of interval reciprocal relations[J]. Information Sciences, 2010, 180:4877-4891.
[13] Wang Y M, Yang J B, Xu D L. A two-stage logarithmic goal programming method for generating weights from interval comparison matrices[J]. Fuzzy Sets and Systems, 2005, 152:475-498.
[14] Wang Y M, Elhag T M S. A goal programming method for obtaining interval weights from an interval comparison matrix[J]. European Journal of Operational Research, 2007, 177(1):458-471.
[15] Liu F. Acceptable consistency analysis of interval reciprocal comparison matrices[J]. Fuzzy Sets and Systems, 2009, 160:2686-2700.
[16] Conde E, Perez M P R. A linear optimization problem to derive relative weights using an interval judgement matrix[J]. European Journal of Operational Research, 2010, 201:537-544.
[17] Xu Z S, Yager R R. Power-geometric operators and their use in group decision making[J]. IEEE Transactions on Fuzzy Systems, 2010, 18(1):94-105.
[18] Xu Z S. Intuitionistic preference relations and their application in group decision making[J]. Information Sciences, 2007, 177:2363-2379.
[19] Van Laarhoven P J M, Pedrycz W. A fuzzy extension of Saaty's priority theory[J]. Fuzzy Sets and Systems, 1983, 11:229-241.
[20] Xu Z S. Intuitionistic preference relations and their application in group decision making[J]. Information Sciences, 2007, 177:2363-2379.
[21] Torra V, Narukawa Y. On hesitant fuzzy sets and decision[C]//18th IEEE International Conference on Fuzzy Systems, Jeju Island, Korea, 2009:1378-1382.
[22] Xia M M, Xu Z S. Hesitant fuzzy information aggregation in decision making[J]. International Journal of Approximate Reasoning, 2011, 52:395-407.
[23] Xia M M, Xu Z S, Chen N. Some hesitant fuzzy aggregation operators with their application in group decision making[J]. Group Decision and Negotiation, 2013, 22:259-279.
[24] Zhu B, Xu Z S, Xu J P. Deriving a ranking from hesitant fuzzy preference relations under group decision making[J]. IEEE Transactions on Cybernetics, 2014, 44(8):1328-1337.
[25] Yu D J, Wu Y Y, Zhou W. Generalized hesitant fuzzy Bonferroni mean and its application in multi-criteria group decision making[J]. Journal of Information & Computational Science, 2012, 9(2):267-274.
[26] Meng F Y, Chen X H, Zhang Q. Generalized hesitant fuzzy generalized Shapley-Choquet integral operators and their application in decision making[J]. International Journal of Fuzzy Systems, 2014, 16(3):400-410.
[27] Zhao H, Xu Z S, Cui F. Generalized hesitant fuzzy harmonic mean operators and their applications in group decision making[J]. International Journal of Fuzzy Systems, 2016, 18(4):685-696.
[28] Peng D H, Wang H. Dynamic hesitant fuzzy aggregation operators in multi-period decision making[J]. Kybernetes, 2014, 43(5):715-736.
[29] Chen N, Xu Z S, Xia M M. Correlation coefficients of hesitant fuzzy sets and their applications to clustering analysis[J]. Applied Mathematical Modelling, 2013, 37:2197-2211.
[30] Xu Z S. Hesitant fuzzy sets theory[M]. Springer, 2014.
[31] Xu Z S, Xia M M. Distance and similarity measures for hesitant fuzzy sets[J]. Information Sciences, 2011, 181:2128-2138.
[32] Zhang X L, Xu Z S. An MST cluster analysis method under hesitant fuzzy environment[J]. Control & Cybernetics, 2012, 41(3):645-666.
[33] Peng D H, Gao C Y, Gao Z F. Generalized hesitant fuzzy synergetic weighted distance measures and their application to multiple criteria decision-making[J]. Applied Mathematical Modelling, 2013, 37(8):5837-5850.
[34] Zhang X L, Xu Z S. Hesitant fuzzy agglomerative hierarchical clustering algorithms[J]. International Journal of Systems Science, 2015, 46(3):562-576.
[35] Sevastjanov P, Dymova L. Generalised operations on hesitant fuzzy values in the framework of Dempster-Shafer theory[J]. Information Sciences, 2015, 311:39-58.
[36] Qin J D, Liu X W, Pedrycz W. Frank aggregation operators and their application to hesitant fuzzy multiple attribute decision making[J]. Applied Soft Computing, 2016, 41:428-452.
[37] Sun G D, Guan X, Yi X, et al. Grey relational analysis between hesitant fuzzy sets with applications to pattern recognition[J]. Expert Systems with Applications, 2018, 92:521-532.
[38] He Y, Xu Z S. Error analysis methods for group decision making based on hesitant fuzzy preference relation[J]. International Journal of Intelligent Systems, 2016, 31:1104-1128.
[39] Meng F Y, An Q X. A new approach for group decision making method with hesitant fuzzy preference relations[J]. Knowledge-Based Systems, 2017, 127:1-15.
[40] Tang J, An Q X, Meng F Y, et al. A natural method for ranking objects from hesitant fuzzy preference relations[J]. International Journal of Information Technology & Decision Making, 2017, 16(6):1611-1646.
[41] Xue M, Du Y F. A group decision-making model based on regression method with hesitant fuzzy preference relations[J]. Mathematical Problems in Engineering, 2017, 2017:6549791. https://doi.org/10.1155/2017/6549791.
[42] Kacprzyk J, Fedrizzi M. A "soft" measure of consensus in the setting of partial (fuzzy) preferences[J]. European Journal of Operational Research, 1988, 34(3):316-325.
[43] 金飞飞, 倪志伟. 基于犹豫模糊偏好关系的雾霾影响因素评价[J]. 模式识别与人工智能, 2015, 28(9):839-847.Jin F F, Ni Z W. Factors evaluation of fog-haze weather based on hesitant fuzzy preference relations[J]. Pattern Recognition and Artificial Intelligence, 2015, 28(9):839-847.
[44] Zhu B, Xu Z S. Regression methods for hesitant fuzzy preference relations[J]. Technological and Economic Development of Economy, 2013, 19:S214-S227.
[45] Liao H C, Xu Z S, Xia M M. Multiplicative consistency of hesitant fuzzy preference relation and its application in group decision making[J]. International Journal of Information Technology & Decision Making, 2014, 13(1):47-76.
[46] Zhang Z M, Wang C, Tian X D. A decision support model for group decision making with hesitant fuzzy preference relations[J]. Knowledge-Based Systems, 2015, 86:77-101.
[47] Liu H F, Xu Z S, Liao H C. The multiplicative consistency index of hesitant fuzzy preference relation[J]. IEEE Transactions on Fuzzy Systems, 2016, 24(1):82-93.
[48] 李宝萍, 陈华友. 犹豫模糊偏好关系乘性一致性的判定及其在群决策中的应用[J]. 模糊系统与数学, 2016, 30(5):157-168.Li B P, Chen H Y. Determination conditions on multiplicative consistency of hesitant fuzzy preference relations and their applications to group decision making[J]. Fyzzy Systems and Mathematics, 2016, 30(5):157-168.
[49] Zhang Z M. A framework of group decision making with hesitant fuzzy preference relations based on multiplicative consistency[J]. International Journal of Fuzzy Systems, 2017, 19(4):982-996.
[50] 李宝萍. 犹豫模糊偏好关系一致性改进算法及群决策[J]. 控制工程, 2017, 24(9):1829-1837. Li B P. Algorithm for improving the consistency of hesitant fuzzy preference relations and its group decision making[J]. Control Engineering of China, 2017, 24(9):1829-1837.
[51] Zhang Z M, Wang C, Tian X D. A decision support model for group decision making with hesitant fuzzy preference relations[J]. Knowledge-Based Systems, 2015, 86:77-101.
[52] Zhang Z M. A framework of group decision making with hesitant fuzzy preference relations based on multiplicative consistency[J]. International Journal of Fuzzy Systems, 2017, 19(4):982-996.
[53] Xu Y J, Cabrerizo F J, Herrera-Viedma E. A consensus model for hesitant fuzzy preference relations and its application in water allocation management[J]. Applied Soft Computing, 2017, 58:265-284.
[54] Xu Y J, Rui D, Wang H M. A dynamically weight adjustment in the consensus reaching process for group decision-making with hesitant fuzzy preference relations[J]. International Journal of Systems Science, 2017, 48(6):1311-1321.
[55] Zhang Z M, Wang C, Tian X D. Multi-criteria group decision making with incomplete hesitant fuzzy preference relations[J]. Applied Soft Computing, 2015, 36:1-23.
[56] Zhu B, Xu Z S. Analytic hierarchy process-hesitant group decision making[J]. European Journal of Operational Research, 2014, 239:794-801.
[57] Chen N, Xu Z S, Xia M M. Interval-valued hesitant preference relations and their applications to group decision making[J]. Knowledge-Based Systems, 2013, 37:528-540.
[58] Zhao N, Xu Z S, Liu F J. Group decision making with dual hesitant fuzzy preference relations[J]. Cognitive Computation, 2016, 8(6):1119-1143.
[59] 赵晓冬, 臧誉琪, 王晓倩. 基于对偶犹豫模糊偏好信息的双边稳定匹配决策方法[J]. 数学的实践与认识, 2018, 48(5):34-43.Zhao X D, Zang Y Q, Wang X Q. Decision analysis method for two-sided stable matching based on dual hesitant fuzzy preference information[J]. Mathematics in Practice and Theory, 2018, 48(5):34-43.
[60] Khalid A, Beg I. Incomplete hesitant fuzzy preference relations in group decision making[J]. International Journal of Fuzzy Systems, 2017, 19(3):637-645.
[61] Xu Y J, Li C Y, Wen X W. Missing values estimation and consensus building for incomplete hesitant fuzzy preference relations with multiplicative consistency[J]. International Journal of Computational Intelligence Systems, 2018, 11:101-119.
[62] Zhang X L, Xu Z S, Xing X M. Hesitant fuzzy programming technique for multidimensional analysis of hesitant fuzzy preferences[J]. OR Spectrum, 2016, 38(3):789-817.
[63] Xu Y J, Chen L, Rodríguez R M, et al. Deriving the priority weights from incomplete hesitant fuzzy preference relations in group decision making[J]. Knowledge-Based Systems, 2016, 99:71-78.
[64] Zhang Z M, Wu C. Deriving the priority weights from hesitant multiplicative preference relations in group decision making[J]. Applied Soft Computing, 2014, 25:107-117.
[65] He Y, Xu Z S, Gu J. An approach to group decision making with hesitant information and its application in credit risk evaluation of enterprises[J]. Applied Soft Computing, 2016, 43:159-169.
[66] Pei L D, Jin F F. Two hesitant multiplicative decision-making algorithms and their application to fog-haze factor assessment problem[J]. Algorithms, 2018, 11(10):154. https://doi.org/10.3390/a11100154.
[67] Mou Q, Xu Z S, Liao H C, et al. Two regression methods for hesitant multiplicative preference relations with different consistencies[J]. Soft Computing, 2019, 23:7029-7044.
[68] Zhang Z M, Wu C. A decision support model for group decision making with hesitant multiplicative preference relations[J]. Information Sciences, 2014, 282:136-166.
[69] Zhang Z, Guo C H. Fusion of heterogeneous incomplete hesitant preference relations in group decision making[J]. International Journal of Computational Intelligence Systems, 2016, 9(2):245-262.
[70] Chen N, Xu Z S, Xia M M. Interval-valued hesitant preference relations and their applications to group decision making[J]. Knowledge-Based Systems, 2013, 37:528-540.
[71] 孙宝军, 李存斌. 基于区间犹豫模糊偏好的改进DEMATEL方法[J]. 内蒙古师范大学学报(自然科学汉文版), 2014, 43(6):699-702.Sun B J, Li C B. The improved DEMATEL decision approach based on hesitant fuzzy preference[J]. Journal of Inner Mongolia Normal University (Natural Science Edition), 2014, 43(6):699-702.
[72] Pérez-Fernández R, Alonso P, Bustince H, et al. Applications of finite interval-valued hesitant fuzzy preference relations in group decision making[J]. Information Sciences, 2016, 326:89-101.
[73] Zhou W, Xu Z S, Chen M H. Preference relations based on hesitant-intuitionistic fuzzy information and their application in group decision making[J]. Computers & Industrial Engineering, 2015, 87:163-175.
[74] Zhou W, Xu Z S. Asymmetric hesitant fuzzy sigmoid preference relations in the analytic hierarchy process[J]. Information Sciences, 2016, 358-359:191-207.
[75] Zhou W, Xu Z S. Group consistency and group decision making under uncertain probabilistic hesitant fuzzy preference environment[J]. Information Sciences, 2017, 414:276-288.
[76] Li J, Wang Z X. A programming model for consistency and consensus in group decision making with probabilistic hesitant fuzzy preference relations[J]. International Journal of Fuzzy Systems, 2018, 20(8):2399-2414.
[77] Zhou W, Xu Z S. Probability calculation and element optimization of probabilistic hesitant fuzzy preference relations based on expected consistency[J]. IEEE Transactions on Fuzzy Systems, 2017, 26(3):1367-1378.
[78] Wu Z B, Jin B M, Xu J P. Local feedback strategy for consensus building with probability-hesitant fuzzy preference relations[J]. Applied Soft Computing, 2018, 67:691-705.
[79] Chai J Y, Ngai E W T. Multi-perspective strategic supplier selection in uncertain environments[J]. International Journal of Production Economics, 2015, 166:215-225.
[80] 李彦华, 杨星宇, 牛蕾, 等. 基于犹豫模糊互补偏好的PPP融资模式选择群决策研究[J]. 中北大学学报(自然科学版), 2018, 39(2):142-149.Li Y H, Yang X Y, Niu L, et al. Research on PPP financing model selection group decision based on the hesitant fuzzy complementary preference[J]. Journal of North University of China (Natural Science Edition), 2018, 39(2):142-149.
[81] 刘霞, 吴楠楠, 许叶军. 基于犹豫模糊互补偏好的水资源配置群决策研究[C]//管理科学与工程学会2016年年会论文集, 2016:262-271.
[82] Boltürk E, Onar S Ç, Oztaysi B, et al. Multi-attribute warehouse location selection in humanitarian logistics using hesitant fuzzy AHP[J]. International Journal of the Analytic Hierarchy Process, 2016, 8(2):271-298.
[83] Basar A. Hesitant fuzzy pairwise comparison for software cost estimation:A case study in Turkey[J]. Turkish Journal of Electrical Engineering & Computer Sciences, 2017, 25:2897-2909.