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CVaR Reduced Fuzzy Variables and Their Second Order Moments | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 3، دوره 12، شماره 5، دی 2015، صفحه 45-75 اصل مقاله (491.5 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2015.2111 | ||
| نویسندگان | ||
| Xue-Jie Bai1؛ Yan-Kui Liu* 2 | ||
| 1College of Management, Hebei University, Baoding 071002, Hebei, China and College of Science, Agricultural University of Hebei, Baoding 071001, Hebei, China | ||
| 2College of Management, Hebei University, Baoding 071002, Hebei, China | ||
| چکیده | ||
| Based on credibilistic value-at-risk (CVaR) of regular fuzzy variable, we introduce a new CVaR reduction method for type-2 fuzzy variables. The reduced fuzzy variables are characterized by parametric possibility distributions. We establish some useful analytical expressions for mean values and second order moments of common reduced fuzzy variables. The convex properties of second order moments with respect to parameters are also discussed. Finally, we take second order moment as a new risk measure, and develop a mean-moment model to optimize fuzzy portfolio selection problems. According to the analytical formulas of second order moments, the mean-moment optimization model is equivalent to parametric quadratic convex programming problems, which can be solved by general-purpose optimization software. The solution results reported in the numerical experiments demonstrate the credibility of the proposed optimization method. | ||
| کلیدواژهها | ||
| Credibilistic value-at-risk؛ Reduced fuzzy variable؛ Parametric possibility distribution؛ Second order moment | ||
| مراجع | ||
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[1] J. Chachi and S. M. Taheri, A uni ed approach to similarity measure between intuitionistic fuzzy sets, Int. J. Intell. Syst., 28 (2013), 669-685. [2] S. Coupland and R. John, A fast geometric method for defuzzi cation of type-2 fuzzy sets, IEEE T. Fuzzy Syst., 16(4) (2008), 929-941. [3] D. Dubois and H. Prade, Operations in a fuzzy-valued logic, Inform. Control, 43(2) (1979), 224-240. [4] M. Hao and J. M. Mendel, Similarity measures for general type-2 fuzzy sets based on the -plane representation, Inform. Sciences, 227 (2014), 197-215. [5] B. Hu and C. Wang, On type-2 fuzzy relations and interval-valued type-2 fuzzy sets, Fuzzy Set. Syst., 236 (2014), 1-32. [6] C. Huang, Y. Wang, H. Chen, H. Tsai, J. Jian, A. Cheng and J. Liao, Application of cellular automata and type-2 fuzzy logic to dynamic vehicle path planning, Appl. Soft Comput., 19 (2014), 333-342. [7] C. M. Hwang, M. S. Yang, W. L. Hung and M. G. Lee, A similarity measure of intuitionistic fuzzy sets based on the Sugeno integral with its application to pattern recognition, Inform. Sciences, 189 (2012), 93-109. [8] P. Kundu, S. Kar and M. Maiti, Fixed charge transportation problem with type-2 fuzzy vari- ables, Inform. Sciences, 255 (2014), 170-186. [9] B. Liu, Uncertainty theory, Springer-Verlag, Berlin, 2004. [10] F. Liu, An ecient centroid type-reduction strategy for general type-2 fuzzy logic system, Inform. Sciences, 178(9) (2008), 2224-2236. [11] H. M. Markowitz, Portfolio selection, J. Financ., 7 (1952), 77-91. [12] J. M. Mendel, Uncertain rule-based fuzzy logic system: introduction and new directions, Prentice Hall, Upper Saddle River, N.J., 2001. [13] J. M. Mendel and R. I. John, Type-2 fuzzy sets made simple, IEEE T. Fuzzy Syst., 10(2) (2002), 117-127. [14] M. Mizumoto and K. Tanaka, Some properties of fuzzy sets of type 2, Inform. Control, 31(4) (1976), 312-340. [15] M. Moharrer, H. Tahayori, L. Livi, A. Sadeghian and A. Rizzi, Interval type-2 fuzzy sets to model linguistic label perception in online services satisfaction, Soft Comput., 19(1) (2015), 237-250. [16] S. C. Ngan, A type-2 linguistic set theory and its application to multi-criteria decision mak- ing, Comput. Ind. Eng., 64(2) (2013), 721-730. [17] A. D. Torshizi and M. H. F. Zarandi, A new cluster validity measure based on general type-2 fuzzy sets: application in gene expression data clustering, Knowl-Based. Syst., 64 (2014), 81-93. [18] P. Wang, Fuzzy contactibility and fuzzy variables, Fuzzy Set. Syst., 8(1) (1982), 81-92. [19] L. A. Zadeh, The concept of a linguistic variable and its application to approximate reasoning{I,II,III, Inform. Sciences, 8(3) (1975), 199-249; 8(4) (1975), 301-357; 9(1) (1975), 43-80. | ||
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