A High-Moment Trapezoidal Fuzzy Random Portfolio Model with Background Risk

References

[1] Fan E, Zhao R Y. Health status and portfolio choice: Causality or heterogeneity? Journal of Banking and Finance, 2009, 33(6): 1079–1088.10.1016/j.jbankfin.2008.12.019Search in Google Scholar

[2] Shum P, Faig M. What explains household stock holdings? Journal of Banking and Finance, 2006, 30(9): 2579–2597.10.1016/j.jbankfin.2005.11.006Search in Google Scholar

[3] Cardak B A, Wilkins R. The determinants of household risky asset holdings: Australian evidence on background risk and other factors. Journal of Banking and Finance, 2009, 33(5): 850–860.10.1016/j.jbankfin.2008.09.021Search in Google Scholar

[4] Baptista A M. Optimal delegated portfolio management with background risk. Journal of Banking and Finance, 2008, 32(6): 977–985.10.1016/j.jbankfin.2007.07.009Search in Google Scholar

[5] Alghalith M. The impact of background risk. Physica A: Statistical Mechanics and Its Applications, 2012, 391(391): 6506–6508.10.1016/j.physa.2012.07.019Search in Google Scholar

[6] Heaton J, Lucas D. Portfolio choice in the presence of background risk. The Economic Journal, 2000, 110(460): 1–26.10.1111/1468-0297.00488Search in Google Scholar

[7] Tsanakas A. Risk measurement in the presence of background risk. Insurance Mathematics and Economics, 2008, 42(2): 520–528.10.1016/j.insmatheco.2007.01.015Search in Google Scholar

[8] Eichner T, Wagener A. Tempering effects of (dependent) background risks: A mean-variance analysis of portfolio selection. Journal of Mathematical Economics, 2012, 48(6): 422–430.10.1016/j.jmateco.2012.09.001Search in Google Scholar

[9] Georgescu I. Combining probabilistic and possibilistic aspects of background risk. IEEE, International Symposium on Computational Intelligence and Informatics. IEEE, 2012: 225–229.10.1109/CINTI.2012.6496765Search in Google Scholar

[10] Jiang C, Ma Y, An Y. An analysis of portfolio selection with background risk. Journal of Banking and Finance, 2009, 34(12): 3055–3060.10.1016/j.jbankfin.2010.07.013Search in Google Scholar

[11] Li T, Zhang W, Xu W. A fuzzy portfolio selection model with background risk. Applied Mathematics and Computation, 2015, 256: 505–513.10.1016/j.amc.2015.01.007Search in Google Scholar

[12] Huang X, Di H. Uncertain portfolio selection with background risk. Applied Mathematics and Computation, 2015, 276: 284–296.10.1109/ICITCS.2014.7021821Search in Google Scholar

[13] Xu W, Deng X, Li J. A New Fuzzy Portfolio Model Based on Background Risk Using MCFOA. International Journal of Fuzzy Systems, 2015, 17(2): 246–255.10.1007/s40815-015-0017-4Search in Google Scholar

[14] Li J, Xu J. Multi-objective portfolio selection model with fuzzy random returns and a compromise approach-based genetic algorithm. Information Sciences, 2013, 220(1): 507–521.10.1016/j.ins.2012.07.005Search in Google Scholar

[15] Aouni B. Comments on: Multicriteria decision systems for financial problems. Top An Oficial Journal of the Spanish Society of Statistics & Operations Research, 2013, 21(2): 262–264.10.1007/s11750-013-0276-xSearch in Google Scholar

[16] Ballestero E, Garcia-Bernabeu A, Hilario A. Portfolio Selection by Goal Programming Techniques. Socially Responsible Investment, 2015: 111–129.10.1007/978-3-319-11836-9_5Search in Google Scholar

[17] Cabot J, ClarisóR, Riera D. On the verification of UML/OCL class diagrams using constraint programming. Journal of Systems and Software, 2014, 93: 1–23.10.1016/j.jss.2014.03.023Search in Google Scholar

[18] Ballestero E, Garcia-Bernabeu A. Compromise programming and utility functions. Socially Responsible Investment, 2015: 155–175.10.1007/978-3-319-11836-9_8Search in Google Scholar

[19] Lan G. Gradient sliding for composite optimization. Mathematical Programming, 2016, 159(1): 201–235.10.1007/s10107-015-0955-5Search in Google Scholar

[20] Méndez-Rodríguez P, Pérez-Gladish B, Cabello J M, et al. Portfolio selection with SRI synthetic indicators: A reference point method approach. Socially Responsible Investment, 2015: 65–69.10.1007/978-3-319-11836-9_13Search in Google Scholar

[21] Jadidi O, Zolfaghari S, Cavalieri S. A new normalized goal programming model for multi-objective problems: A case of supplier selection and order allocation. International Journal of Production Economics, 2014, 148(1): 158–165.10.1016/j.ijpe.2013.10.005Search in Google Scholar

[22] Kim W C, Fabozzi F J, Cheridito P, et al. Controlling portfolio skewness and kurtosis without directly optimizing third and fourth moments. Economics Letters, 2014, 122(2): 154–158.10.1016/j.econlet.2013.11.024Search in Google Scholar

[23] Jaaman S H, Weng H L, Isa Z. A new higher moment portfolio optimisation model with conditional value at risk. International Journal of Operational Research, 2014, 21(4): 451.10.1504/IJOR.2014.065613Search in Google Scholar

[24] Hossain S A, Bhattacharyya R. Portfolio Selection with Possibilistic Kurtosis. Facets of Uncertainties and Applications. Springer India, 2015: 303–313.10.1007/978-81-322-2301-6_23Search in Google Scholar

[25] Briec W, Kerstens K, Ignace V D W. Risk-loving and risk-averse preferences in mean-variance-skewness-kurtosis portfolio modeling: A common characterization using the shortage function. 2013.Search in Google Scholar

[26] Hall A D, Satchell S E. The anatomy of portfolio skewness and kurtosis. Journal of Asset Management, 2013, 14(4): 228–235.10.1057/jam.2013.18Search in Google Scholar

[27] Brinkmann F, Kempf A, Korn O. Forward-looking measures of higher-order dependencies with an application to portfolio selection. Cfr Working Papers, 2014.10.2139/ssrn.2385228Search in Google Scholar

[28] McLaughlin K W. Higher moments in portfolio construction. Proceedings of the Northeast Business and Economics Association, 2013, 36(34): 213–220.Search in Google Scholar

[29] Liu B, Liu Y K. Expected value of fuzzy variable and fuzzy expected value models. IEEE Transactions on Fuzzy Systems, 2002, 10(4): 445–450.10.1109/TFUZZ.2002.800692Search in Google Scholar

[30] Hao F F, Liu Y K. Mean-variance models for portfolio selection with fuzzy random returns. Journal of Applied Mathematics and Computing, 2009, 30(1): 9–38.10.1007/s12190-008-0154-0Search in Google Scholar

[31] Liu Y, Wu X, Hao F. A new chance-variance optimization criterion for portfolio selection in uncertain decision systems. Expert Systems with Applications, 2012, 39(7): 6514–6526.10.1016/j.eswa.2011.12.053Search in Google Scholar

[32] Qin Z, Xu L. Mean-variance adjusting model for portfolio selection problem with fuzzy random returns. International Joint Conference on Computational Sciences and Optimization. IEEE Computer Society, 2014: 83–87.10.1109/CSO.2014.147Search in Google Scholar

[33] Zimmermann H J. Fuzzy programming and linear programming with several objective functions. Fuzzy Sets and Systems, 1978, 1(1): 45–55.10.1016/0165-0114(78)90031-3Search in Google Scholar