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Introduction

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Qualitative Investment Decision-Making Methods under Hesitant Fuzzy Environments

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 376))

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Abstract

This chapter is the introduction part of this book. In this chapter, we describe the background and point out the research objectives of this book, and then review the relative literature from five perspectives, namely the hesitant fuzzy set, the numerical scales and hesitant fuzzy preferences, the hesitant fuzzy portfolio methods, the fuzzy data envelopment analysis, and the fuzzy VaR measures. In addition, we summarize the main research contributions and five proposed investment models in this chapter. Lastly, we present the research design of this book by a logic flowchart.

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References

  • Abdelaziz, F.B., Aouni, B., Fayedh, R.E.: Multi-objective stochastic programming for portfolio selection. Eur. J. Oper. Res. 177, 1811–1823 (2007)

    Article  MATH  Google Scholar 

  • Adler, N., Friedman, L., Sinuany-Stern, Z.: Review of ranking methods in the data envelopment analysis context. Eur. J. Oper. Res. 140, 249–265 (2002)

    Google Scholar 

  • Ahmady, N., Azadi, M., Sadeghi, S.A.H., et al.: A novel fuzzy data envelopment analysis model with double frontiers for supplier selection. Int. J. Logistics Res. Appl. 16, 87–98 (2013)

    Google Scholar 

  • Ammar, E., Khalifa, H.A.: Fuzzy portfolio optimization a quadratic programming approach. Chaos Solitons Fractals 18(5), 1045–1054 (2003)

    Article  MathSciNet  MATH  Google Scholar 

  • Aparicio, J., Pastor, J. T., Vidal, F., Zofío. J.L.: Evaluating productive performance: a new approach based on the product-mix problem consistent with data envelopment analysis. Omega, 67, 134–144 (2017)

    Google Scholar 

  • Andersen, P., Petersen, N.C.: A procedure for ranking units in data envelopment analysis. Manage. Sci. 39, 1261–1264 (1993)

    Google Scholar 

  • Atanassov, K.T.: Intuitionistic fuzzy sets. Fuzzy Sets Syst. 20, 87–96 (1986)

    Google Scholar 

  • Atanassov, K.T., Gargov, G.: Interval-valued intuitionistic fuzzy sets. Fuzzy Sets Syst. 31, 343–349 (1989)

    Article  MathSciNet  MATH  Google Scholar 

  • Atici, K.B., Podinovski, V.V.: Using data envelopment analysis for the assessment of technical efficiency of units with different specialisations: An application to agriculture. Omega, 54, 72–83 (2015)

    Google Scholar 

  • Bakhshali, M.A.: Segmentation and enhancement of brain MR images using fuzzy clustering based on information theory. Soft. Comput. 21, 6633–6640 (2017)

    Article  Google Scholar 

  • Beder, T.: VaR, seductive but dangerous. Financ. Anal. J. 51, 12–24 (1995)

    Article  Google Scholar 

  • Broumi, S., Smarandache, F.: New operations over interval-valued intuitionistic hesitant fuzzy set. Math. Stat. 2, 62–71 (2014)

    Google Scholar 

  • Charnes, A., Cooper, W.W., Rhodes, E.: Measuring the efficiency of decision-making units. Eur. J. Oper. Res. 2(6), 429–444 (1978)

    Article  MathSciNet  MATH  Google Scholar 

  • Chen, L., Jia, G.Z.: Environmental efficiency analysis of china's regional industry: A data envelopment analysis (DEA) based approach. J. Cleaner Prod. 142, 846–853 (2017)

    Google Scholar 

  • Chen, N., Xu, Z.S.: Hesitant fuzzy ELECTRE II approach: A new way to handle multi-criteria decision-making problems. Inf. Sci. 292, 175–197 (2015)

    Google Scholar 

  • Chen, N., Xu, Z.S., Xia, M.M.: Correlation coefficients of hesitant fuzzy sets and their applications to clustering analysis. Appl. Math. Model. 37, 2197–2211 (2013a)

    Article  MathSciNet  MATH  Google Scholar 

  • Chen, N., Xu, Z.S., Xia, M.M.: Interval-valued hesitant preference relations and their applications to group decision making. Knowl. Based Syst. 37, 528–540 (2013b)

    Article  Google Scholar 

  • Contreras, I.: Optimizing the rank position of the DMU as secondary goal in DEA cross-evaluation. Appl. Math. Modell. 36(6), 2642–2648 (2012)

    Google Scholar 

  • Cullinane, K., Wang, T.F., Song, D.W., Ji, P.: The technical efficiency of container ports: comparing data envelopment analysis and stochastic frontier analysis. Transp. Res. A Policy Pract. 40, 354–374 (2006)

    Google Scholar 

  • Despotis, D.K.: Improving the discriminating power of DEA: focus on globally efficient units. J. Oper. Res. Soc. 53(3), 314–323 (2002)

    Article  MathSciNet  MATH  Google Scholar 

  • Detemple, J.: Portfolio selection: a review. J. Optim. Theory Appl. 161(1), 1–21 (2014)

    Article  MathSciNet  MATH  Google Scholar 

  • Dotoli, M., Epicoco, N., Falagario, M., Sciancalepore, F.: A cross-efficiency fuzzy data envelopment analysis technique for performance evaluation of decision making units under uncertainty. Comput. Ind. Eng. 79, 103–114 (2015)

    Google Scholar 

  • Doyle, J., Green, R.: Efficiency and cross-efficiency in DEA, derivations, meanings and uses. J. Oper. Res. Soc. 45(5), 567–578 (1994)

    Article  MATH  Google Scholar 

  • Dubois, D., Prade, H.: Fuzzy Sets and Systems: Theory and Applications. Academic Press, New York (1980)

    MATH  Google Scholar 

  • Elton, E.J., Gruber, M.J., Padberg, M.W.: Simple criteria for optimal portfolio selection. J. Financ. 31(5), 1341–1357 (1976)

    Google Scholar 

  • Eun, C.S., Resnick, B.G.: Exchange rate uncertainty, forward contracts, and international portfolio selection. J. Financ. 43(1), 197–215 (1988)

    Article  Google Scholar 

  • Farhadinia, B.: Information measures for hesitant fuzzy sets and interval-valued hesitant fuzzy sets. Inf. Sci. 240, 129–144 (2013a)

    Article  MathSciNet  MATH  Google Scholar 

  • Farhadinia, B.: A novel method of ranking hesitant fuzzy values for multiple attribute decision making problems. Int. J. Intell. Syst. 28, 752–767 (2013b)

    Article  Google Scholar 

  • Favre, L., Galeano, J.A.: Mean-modified value-at-risk optimization with hedge funds. J. Altern. Invest. 5(2), 21–25 (2002)

    Article  Google Scholar 

  • Ferik, S.E., Nasir, M.T., Baroudi, U.: A behavioral adaptive fuzzy controller of multi-robots in a cluster space. Appl. Soft Comput. 44, 117–127 (2016)

    Article  Google Scholar 

  • Fernandez, A., Gomez, S.: Portfolio selection using neural networks. Comput. Oper. Res. 34(4), 1177–1191 (2005)

    Article  MATH  Google Scholar 

  • Ghasemzadeh, F., Archer, N.P.: Project portfolio selection through decision support. Decis. Support Syst. 29(1), 73–88 (2000)

    Article  Google Scholar 

  • Gu, X., Wang, Y., Yang, B.: A method for hesitant fuzzy multiple-attribute decision making and its application to risk investment. J. Converg. Inf. Technol. 6, 282–287 (2011)

    Google Scholar 

  • Guo, J.P., Wu, Y.H., Li, W.H.: Interval scales analytic hierarchy process based on linear programming. J. Harbin Inst. Technol. (in Chinese) 39(2), 334–336 (2007)

    Google Scholar 

  • Harker, P.T., Vargas, L.G.: The theory of ratio scale estimation: Saaty's analytic hierarchy process. Manage. Sci. 33, 1383–1403 (1987)

    Google Scholar 

  • Hatami-Marbini, A., Agrell, P.J., Tavana, M., Khoshnevis, P.: A flexible cross-efficiency fuzzy data envelopment analysis model for sustainable sourcing. J. Cleaner Prod. 142, 2761–2779 (2017)

    Google Scholar 

  • Hatami-Marbini, A., Emrouznejad, A., Tavana, M.: A taxonomy and review of the fuzzy data envelopment analysis literature: two decades in the making. Eur. J. Oper. Res. 214, 457–472 (2011)

    Google Scholar 

  • Hatami-Marbini, A., Saati, S., Tavana, M.: An ideal-seeking fuzzy data envelopment analysis framework. Appl. Soft Comput. 10, 1062–1070 (2010)

    Google Scholar 

  • He, Y., Xu, Z.S.: Error analysis methods for group decision making based on hesitant fuzzy preference relation. Int. J. Intell. Syst. 31, 1104–1128 (2016)

    Article  Google Scholar 

  • Hou, Y.H., Shen, D.J.: Index number scale and comparison with other scale. Syst. Eng. Theory Pract. (in Chinese) 15(10), 43–46 (1995)

    Google Scholar 

  • Huang, X.X.: A new perspective for optimal portfolio selection with random fuzzy returns. Inf. Sci. 177(23), 5404–5414 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  • Jiang, J.J.: The research on scale systems of AHP. Guangxi Univ. (in Chinese), Nanning (2011)

    Google Scholar 

  • Katagiri, H., Uno, T., Kato, K., Tsuda, H., Tsubaki, H.: Random fuzzy multi-objective linear programming: optimization of possibilistic value at risk (PVaR). Expert Syst. Appl. 40(2), 563–574 (2013)

    Article  Google Scholar 

  • Khalid, A., Beg, I.: Incomplete hesitant fuzzy preference relations in group decision making. Int. J. Fuzzy Syst. 19(3), 1–9 (2016)

    MathSciNet  Google Scholar 

  • Kong, Y., Chen, P.H., Zhang, J., Ren, X., Li, M.A.: Application of three-scale AHP method in nuclear emergency decision making. Math. Pract. Theor. (in Chinese) 43(9), 109–104 (2013)

    Google Scholar 

  • Lertworasirikul, S., Fang, S.C., Joines, J.A., Nuttle, H.L.W.: Fuzzy data envelopment analysis (DEA): a possibility approach. Fuzzy Sets Syst. 139, 379–394 (2003)

    Google Scholar 

  • Levy, M., Kaplanski, G.: Portfolio selection in a two-regime world. Eur. J. Oper. Res. 242(2), 514–524 (2015)

    Article  MathSciNet  MATH  Google Scholar 

  • Li, C.F.: A scale method with DM’s preference in analytic hierarchy process. J. Huaiyin Inst. Technol. (in Chinese) 3, 16–19 (2009)

    Google Scholar 

  • Li, F., Zhu, Q.Y., Chen, Z., Xue, H.B.: A balanced data envelopment analysis cross-efficiency evaluation approach. Expert Syst. Appl. 106, 154–168 (2018)

    Google Scholar 

  • Liang, L., Wu, J., Cook, W.D., Zhu, J.: Alternative secondary goals in DEA cross efficiency evaluation. Int. J. Prod. Econ. 113(2), 1025–1030 (2008)

    Article  Google Scholar 

  • Liao, H.C., Xu, Z.S., Xia, M.M.: Multiplicative consistency of hesitant fuzzy preference relation and its application in group decision making. Int. J. Inf. Technol. Decis. Mak. 13, 47–76 (2014a)

    Article  Google Scholar 

  • Liao, H.C., Xu, Z.S., Zeng, X.J.: Distance and similarity measures for hesitant fuzzy linguistic term sets and their application in multi-criteria decision making. Inf. Sci. 271, 125–142 (2014b)

    Article  MathSciNet  MATH  Google Scholar 

  • Lim, S., Oh, K.W., Zhu, J.: Use of DEA cross-efficiency evaluation in portfolio selection, an application to Korean stock market. Eur. J. Oper. Res. 236, 361–368 (2014)

    Article  MathSciNet  MATH  Google Scholar 

  • Lin, J.C., Xu, Z.S.: A new scale in fuzzy AHP. Oper. Res. Manag. Sci. (in Chinese) 7(2), 37–40 (1998)

    Google Scholar 

  • Liu, J.: Portfolio selection in stochastic environments. Rev. Financ. Stud. 20(1), 1–39 (2007)

    Article  Google Scholar 

  • Liu, H.F., Xu, Z.S., Liao, H.C.: The multiplicative consistency index of hesitant fuzzy preference relation. IEEE Trans. Fuzzy Syst. 24, 82–93 (2016a)

    Article  Google Scholar 

  • Liu, J.H., Jin, X., Yuan, Y.: Empirical study of random fuzzy portfolio model with different investor risk attitudes. Oper. Res. Manag. Sci. (in Chinese) 25(1), 166–174 (2016b)

    Google Scholar 

  • Liu, Y.J., Zhang, W.G.: A multi-period fuzzy portfolio optimization model with minimum transaction lots. Eur. J. Oper. Res. 242(3), 933–941 (2015)

    Article  MathSciNet  MATH  Google Scholar 

  • Liu, Y.J., Zhang, W.G., Zhang, P.: A multi-period portfolio selection optimization model by using interval analysis. Econ. Model. 33(2), 113–119 (2013)

    Article  Google Scholar 

  • Lootsma, F.A.: Scale sensitivity in the multiplicative AHP and smart. J. Multi-Criteria Decis. Anal. 2, 87–110 (2006)

    Google Scholar 

  • Luo, Z.Q., Yang, S.L.: Comparative study on several scale in AHP. Syst. Eng. Theory Pract. (in Chinese) 24(9), 51–60 (2004)

    Google Scholar 

  • Lv, Y.J., Zhang, W.: Kernel function of index scale in AHP scale system. J. Syst. Eng. (in Chinese) 18(5), 452–456 (2003)

    Google Scholar 

  • Markowitz, H.M.: Portfolio selection. J. Financ. 7(1), 77–91 (1952)

    Google Scholar 

  • Markowitz, H.M.: The elimination form of the inverse and its application to linear programming. Manag. Sci. 3, 255–269 (1957)

    Article  MathSciNet  MATH  Google Scholar 

  • Markowitz, H.M.: Portfolio selection: efficient diversification of investment. Wiley, New York (1959)

    Google Scholar 

  • Merton, R.C.: Lifetime portfolio selection under uncertainty: the continuous-time case. Rev. Econ. Stat. 51(3), 247–257 (1969)

    Google Scholar 

  • Moussa, A.M., Kamdem, J.S., Terraza, M.: Fuzzy value-at-risk and expected shortfall for portfolios with heavy-tailed returns. Econ. Model. 39, 247–256 (2014)

    Article  Google Scholar 

  • Orlovsky, S.A.: Decision-making with a fuzzy preference relation. Fuzzy Sets Syst. 1, 155–167 (1978)

    Article  MathSciNet  MATH  Google Scholar 

  • Paradi, J.C., Zhu, H.: A survey on bank branch efficiency and performance research with data envelopment analysis. Omega, 41, 61–79 (2013)

    Google Scholar 

  • Park, J.S., Lim, B.H., Lee, Y., Young, M.R.: A mini-max portfolio selection rule with linear programming solution. Manag. Sci. 44(5), 673–683 (1998)

    Article  Google Scholar 

  • Parra, M.A., Terol, A.B., Urı́A, M.V.R.: A fuzzy goal programming approach to portfolio selection. Eur. J. Oper. Res. 133(2), 287–297 (2001)

    Google Scholar 

  • Peng, J.J., Wang, J.Q., Wang, J., Yang, L.J., Chen, X.H.: An extension of ELECTRE to multi-criteria decision making problems with multi-hesitant fuzzy sets. Inf. Sci. 307, 113–126 (2015)

    Google Scholar 

  • Pérez-Fernández, R., Alonso, P., Bustince, H., Díaz, I., Montes, S.: Applications of finite interval-valued hesitant fuzzy preference relations in group decision making. Inf. Sci. 326, 89–101 (2016)

    Article  MathSciNet  MATH  Google Scholar 

  • Perez, F., Gomez, T.: Multi-objective project portfolio selection with fuzzy constraints. Ann. Oper. Res. 245, 7–29 (2016)

    Google Scholar 

  • Qian, G., Wang, H., Feng, X.Q.: Generalized hesitant fuzzy sets and their application in decision support system. Knowl. Based Syst. 37(4), 357–365 (2013)

    Article  Google Scholar 

  • Ramón, N., Ruiz, J.L., Sirvent, I.: Reducing differences between profiles of weights: a ‘‘peer-restricted’’ cross-efficiency evaluation. Omega 39(6), 634–641 (2011)

    Article  Google Scholar 

  • Rockafellar, R.T., Uryasev, S.: Conditional value-at-risk for general loss distributions. J. Bank. Financ. 26(7), 1443–1471 (2002)

    Article  Google Scholar 

  • Rodriguez, R.M., Martinea, L., Torra, V., Herrera, F.: Hesitant fuzzy linguistic term sets for decision making. IEEE Trans. Fuzzy Syst. 20, 109–119 (2012)

    Article  Google Scholar 

  • Rodriguez, R.M., Martínez, L., Torra, V., Xu, Z.S., Herrera, F.: Hesitant fuzzy sets, state of the art and future directions. Int. J. Intell. Syst. 29, 495–524 (2014)

    Article  Google Scholar 

  • Ruiz, J.L.: Cross-efficiency evaluation with directional distance functions. Eur. J. Oper. Res. 228(1), 181–189 (2013)

    Article  MathSciNet  MATH  Google Scholar 

  • Saaty, T.L.: A scaling method for priorities in hierarchical structures. J. Math. Psychol. 15, 234–281 (1977)

    Article  MathSciNet  MATH  Google Scholar 

  • Saaty, T.L.: The analytic hierarchy process. In: Proceedings of the Second International Seminar on Operational Research, Basque Provinces, pp. 189–234 (1980)

    Google Scholar 

  • Saaty, T.L.: The modern science of multi-criteria decision making and its practical applications: the AHP/ANP approach. Oper. Res. 61, 1101–1118 (2013)

    Article  MathSciNet  MATH  Google Scholar 

  • Seiford, L.M.: Data envelopment analysis: The evolution of the state of the art (1978–1995). J. Prod. Anal. 7(2–3), 99–137 (1996)

    Google Scholar 

  • Sexton, T.R., Silkman, R.H., Hogan, A.J.: Data envelopment analysis, critique and extensions. In: Silkman, R.H. (ed.) Measuring Efficiency: An Assessment of Data Envelopment Analysis. Jossey-Bass, San Francisco (1986)

    Google Scholar 

  • Sinha, P., Chandwani, A., Sinha, T.: Algorithm of construction of optimum portfolio of stocks using genetic algorithm. J. Exp. Med. 6(4), 35–44 (2015)

    Google Scholar 

  • Song, H., Huang, Y.S., Huang, S.H.: Research on scale-extending AHP on thermal power plant optimal siting. J. North China Electr. Power Univ. (in Chinese) (6), 56–61 (2014)

    Google Scholar 

  • Torra, V.: Hesitant fuzzy sets. Int. J. Intell. Syst. 25, 529–539 (2010)

    MATH  Google Scholar 

  • Torra, V., Narukawa, Y.: On hesitant fuzzy sets and decision. In: The 18th IEEE International Conference on Fuzzy Systems, Jeju Island, Korea, pp. 1378–1382 (2009)

    Google Scholar 

  • Tsaur, R.C.: Fuzzy portfolio model with different investor risk attitudes. Eur. J. Oper. Res. 227(2), 385–390 (2013)

    Article  MathSciNet  MATH  Google Scholar 

  • Vercher, E., Bermúdez, J.D., Segura, J.V.: Fuzzy portfolio optimization under downside risk measures. Fuzzy Sets Syst. 158(7), 769–782 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  • Wang, H., Ma, D.: Scale evaluation and new scale methods. Syst. Eng. Theory Pract. (in Chinese) 13(5), 24–26 (1993)

    Google Scholar 

  • Wang, H., Xu, Z.S.: Some consistency measures of extended hesitant fuzzy linguistic preference relations. Inf. Sci. 297, 316–331 (2015)

    Article  MathSciNet  MATH  Google Scholar 

  • Wang, H., Xu, Z.S.: Multi-group decision making using intuitionistic-valued hesitant fuzzy information. Int. J. Comput. Intell. Syst. 9(3), 468–482 (2016)

    Article  Google Scholar 

  • Wang, Y.M., Chin, K.S.: Some alternative models for DEA cross-efficiency evaluation. Int. J. Prod. Econ. 128(1), 332–338 (2010)

    Article  Google Scholar 

  • Wang, B., Wang, S.M., Watada, J.: Fuzzy-portfolio-selection models with value-at-risk. IEEE Trans. Fuzzy Syst. 19(4), 758–769 (2011)

    Article  Google Scholar 

  • Wang, J.Q., Wu, J.T., Wang, J., Zhang, H.Y., Chen, X.H.: Multi-criteria decision-making methods based on the Hausdorff distance of hesitant fuzzy linguistic numbers. Soft. Comput. 20(4), 1621–1633 (2016)

    Article  Google Scholar 

  • Wu, J., Chu, J., Sun, J., Zhu, Q., Liang, L.: Extended secondary goal models for weights selection in DEA cross-efficiency evaluation. Comput. Ind. Eng. 93, 143–151 (2016)

    Article  Google Scholar 

  • Xia, M.M., Xu, Z.S.: Hesitant fuzzy information aggregation in decision making. Int. J. Approx. Reason. 52, 395–407 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  • Xu, Z.S.: A new scale method in analytic hierarchy process. Syst. Eng. Theory Pract. (in Chinese) 18(10), 74–77 (1998)

    Google Scholar 

  • Xu, Z.S.: Goal programming models for obtaining the priority vector of incomplete fuzzy preference relation. Int. J. Approximate Reasoning 36, 261–270 (2004)

    Google Scholar 

  • Xu, Y.J., Chen, L., Rodríguez, R.M., Herrera, F., Wang, H.M.: Deriving the priority weights from incomplete hesitant fuzzy preference relations in group decision making. Knowl.-Based Syst. 99, 71–78 (2016)

    Google Scholar 

  • Xu, Z.S., Xia, M.M.: On distance and correlation measures of hesitant fuzzy information. Int. J. Intell. Syst. 26, 410–425 (2011)

    Google Scholar 

  • Xu, Z.S., Xia M.M.: Hesitant fuzzy entropy measures and their use in multi-attribute decision making. Int. J. Intell. Syst. 27, 799–822 (2012)

    Google Scholar 

  • Xu, Z.S., Zhou, W.: Consensus building with a group of decision makers under the hesitant probabilistic fuzzy environment. Fuzzy Optim. Decis. Mak. 16(4), 481–503 (2017)

    Article  MathSciNet  MATH  Google Scholar 

  • Yager, R.R.: On the theory of bags. Int. J. General Syst. 13(1), 23–37 (1986)

    Google Scholar 

  • Yager, R.R., Filev, D.P: Induced ordered weighted averaging operators. IEEE Trans. Syst. Man and Cybernetics. B Cybern. 29, 141–150 (1999)

    Google Scholar 

  • Yang, K., Liu, Y.K., Yang, G.Q.: Optimizing fuzzy p-hub center problem with generalized value-at-risk criterion. Appl. Math. Model. 38, 3987–4005 (2014a)

    Article  MathSciNet  MATH  Google Scholar 

  • Yang, X.B., Song, X.N., Qi, Y.S., Yang, J.Y.: Constructive and axiomatic approaches to hesitant fuzzy rough set. Soft. Comput. 18, 1067–1077 (2014b)

    Article  MATH  Google Scholar 

  • Yao, H.X., Li, Z.F., Li, D.: Multi-period mean-variance portfolio selection with stochastic interest rate and uncontrollable liability. Eur. J. Oper. Res. 252(3), 837–851 (2016)

    Article  MathSciNet  MATH  Google Scholar 

  • Yu, D.J.: Triangular hesitant fuzzy set and its application to teaching quality evaluation. J. Inf. Comput. Sci. 10(7), 1925–1934 (2013)

    Article  Google Scholar 

  • Zadeh, L.A.: Fuzzy sets. Inf. Control 8, 38–353 (1965)

    Article  Google Scholar 

  • Zadeh, L.A.: The concept of a linguistic variable and its application to approximate reasoning. Inf. Sci. 8, 199–249 (1975)

    Article  MathSciNet  MATH  Google Scholar 

  • Zhang, Z.M., Wang, C., Tian, X.X.: A decision support model for group decision making with hesitant fuzzy preference relations. Knowl. Based Syst. 86, 77–101 (2015)

    Article  Google Scholar 

  • Zhao, P., Xiao, Q.: Portfolio selection problem with value-at-risk constraints under non- extensive statistical mechanics. J. Comput. Appl. Math. 298, 64–71 (2016)

    Article  MathSciNet  MATH  Google Scholar 

  • Zhou, W.: An accurate method for determining hesitant fuzzy aggregation operator weights and its application to project investment. Int. J. Intell. Syst. 29(7), 668–686 (2014a)

    Article  Google Scholar 

  • Zhou, W.: On hesitant fuzzy reducible weighted Bonferroni mean and its generalized form for multicriteria aggregation. J. Appl. Math. 1, 1–10 (2014b)

    MATH  Google Scholar 

  • Zhou, W.: Two Atanassov intuitionistic fuzzy weighted aggregation operators based on a novel weighted method and their application. J. Intell. Fuzzy Syst. 26(4), 1787–1798 (2014c)

    MathSciNet  MATH  Google Scholar 

  • Zhou, P, Ang, B.W, Poh, K.L.: A survey of data envelopment analysis in energy and environmental studies. Eur. J. Oper. Res. 189, 1–18 (2008)

    Google Scholar 

  • Zhou, W., Xu, Z.S., Chen M.H.: Preference relations based on hesitant-intuitionistic fuzzy information and their application in group decision making. Comput. Industr. Eng. 87, 163–175 (2015)

    Article  MathSciNet  Google Scholar 

  • Zhou, W., Xu, Z.S.: Asymmetric hesitant fuzzy sigmoid preference relations in the analytic hierarchy process. Inf. Sci. 358, 191–207 (2016a)

    Article  Google Scholar 

  • Zhou, W., Xu, Z.S.: Asymmetric fuzzy preference relations based on the generalized sigmoid scale and their application in decision making involving risk appetites. IEEE Trans. Fuzzy Syst. 24(3), 741–756 (2016b)

    Article  Google Scholar 

  • Zhou, W., Xu, Z.S.: Generalized asymmetric linguistic term set and its application to qualitative decision making involving risk appetites. Eur. J. Oper. Res. 254, 610–621 (2016c)

    Article  MathSciNet  MATH  Google Scholar 

  • Zhou, W., Xu, Z.S.: Expected hesitant VaR for tail decision making under probabilistic hesitant fuzzy environment. Appl. Soft Comput. 60, 297–311 (2017a)

    Article  Google Scholar 

  • Zhou, W., Xu, Z.S.: Extended intuitionistic fuzzy sets based on the hesitant fuzzy membership and their application in decision making with risk preference. Int. J. Intell. Syst. 33, 417–443 (2017b)

    Article  Google Scholar 

  • Zhou, W., Xu, Z.S.: Extreme intuitionistic fuzzy weighted aggregation operators and their applications in optimism and pessimism decision-making processes. J. Intell. Fuzzy Syst. 32(1), 1129–1138 (2017c)

    Article  MATH  Google Scholar 

  • Zhou, W., Xu, Z.S.: Group consistency and group decision making under uncertain probabilistic hesitant fuzzy preference environment. Inf. Sci. 414, 276–288 (2017d)

    Article  Google Scholar 

  • Zhou, W., Xu, Z.S.: Modeling and applying credible interval intuitionistic fuzzy reciprocal preference relations in group decision making. J. Syst. Eng. Electron. 28(2), 301–314 (2017e)

    Article  Google Scholar 

  • Zhou, W., Xu, Z.S.: Probability calculation and element optimization of probabilistic hesitant fuzzy preference relations based on expected consistency. IEEE Trans. Fuzzy Syst. 26(3), 1367–1378 (2018a)

    Article  Google Scholar 

  • Zhou, W., Xu, Z.S.: Portfolio selection and risk investment under the hesitant fuzzy environment. Knowl. Based Syst. 144, 21–23 (2018b)

    Article  Google Scholar 

  • Zhou, W., Chen, J., Xu, Z.S., Meng, S.: Hesitant fuzzy preference envelopment analysis and alternative improvement. Inf. Sci. 465, 105–117 (2018)

    Article  Google Scholar 

  • Zhou, W., He, J.M.: Interval-valued intuitionistic fuzzy ordered precise weighted aggregation operator and its application in group decision making. Technol. Econ. Dev. Econ. 20(4), 48–672 (2014)

    Google Scholar 

  • Zhu, S.S., Fukushima M.: Worst-case conditional value-at-risk with application to robust portfolio management. Oper. Res. 57(5), 1155–1168 (2009)

    Google Scholar 

  • Zhu, B., Xu, Z.S.: Regression methods for hesitant fuzzy preference relations. Technol. Econ. Dev. Econ. 19(sup1), 214–227 (2014)

    Article  Google Scholar 

  • Zhu, B., Xu, Z.S., Xia, M.M.: Dual hesitant fuzzy sets. J. Appl. Math. (1), 1–13 (2012a)

    Google Scholar 

  • Zmeškal, Z.: Value at risk methodology under soft conditions approach (fuzzy-stochastic approach). Eur. J. Oper. Res. 161(2), 337–347 (2005)

    Article  MathSciNet  MATH  Google Scholar 

  • Zuo, J.: The indirect method of judging matrix in analytic hierarchy process. Syst. Eng. (in Chinese) 16(6), 56–63 (1998)

    Google Scholar 

Download references

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Authors and Affiliations

  1. School of Finance, Yunnan University of Finance and Economics, Kunming, Yunnan, China

    Dr. Wei Zhou

  2. Business School, Sichuan University, Chengdu, Sichuan, China

    Prof. Zeshui Xu

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  1. Dr. Wei Zhou
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  2. Prof. Zeshui Xu
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Correspondence to Wei Zhou .

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Zhou, W., Xu, Z. (2020). Introduction. In: Qualitative Investment Decision-Making Methods under Hesitant Fuzzy Environments. Studies in Fuzziness and Soft Computing, vol 376. Springer, Cham. https://doi.org/10.1007/978-3-030-11349-0_1

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