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Fuzzy optimization for portfolio selection based on Embedding Theorem in Fuzzy Normed Linear Spaces Cover

Fuzzy optimization for portfolio selection based on Embedding Theorem in Fuzzy Normed Linear Spaces

Open Access
|May 2014

References

  1. Bag, T., & Samanta, T. K. (2003). Finite dimensional fuzzy normed linear spaces. J. Fuzzy Math. 11(3), 687-705.
  2. Bag, T., & Samanta, T. K. (2008). A comparative study of fuzzy norms on a linear space. Fuzzy Sets and Systems, 159, 670-684, http://dx.doi.org/10.1016/j.fss.2007.09.01110.1016/j.fss.2007.09.011
  3. Bermúdeza, J.D., Segurab, J.V., & Verchera, E. (2012). A multiobjective genetic algorithm for cardinality constrained fuzzy portfolio selection. Fuzzy Sets and Systems, 188, 16-26, http://dx.doi.org/10.1016/j.fss.2011.05.01310.1016/j.fss.2011.05.013
  4. Bilbao-Terol, A., Arenas-Parra, M., Canal-Fernandez, V. (2012). Selection of Socially Responsible Portfolios using Goal Programming and fuzzy technology, Information Sciences, 189, 110-125, http://dx.doi.org/10.1016/j.ins.2011.12.00110.1016/j.ins.2011.12.001
  5. Bhattacharyya R., & Kar S. (2011). Multiobjective fuzzy optimization for portfolio selection: an embedding theorem approach. Turkish Journal of Fuzzy Systems, 2(1), 14-35. Retrieved April 3, 2014, from http://www.tjfs-journal.org/TJFS_v2n1_pp14_35.pdf
  6. Cheng, S.C., & Mordeson, J.N. (1994). Fuzzy linear operator and fuzzy normed linear spaces. Bull. Cal. Math. Soc. 86, 429-436.
  7. Felbin, C. (1992). Finite dimensional fuzzy normed linear spaces. Fuzzy Sets and Systems, 48, 239-248, http://dx.doi.org/10.1016/0165-0114(92)90338-510.1016/0165-0114(92)90338-5
  8. Gupta, P., Inuiguchi, M., Mehlawat, M. K., & Mittal, G. (2012), Multiobjective credibilistic portfolio selection model with fuzzy chance-constraints. Information Sciences, 229, 1-17, http://dx.doi.org/10.1016/j.ins.2012.12.01110.1016/j.ins.2012.12.011
  9. Huang, X. & Qiao, L. (2012). A risk index model for multiperiod uncertain portfolio selection. Information Sciences, 217, 108-116, http://dx.doi.org/10.1016/j.ins.2012.06.01710.1016/j.ins.2012.06.017
  10. Kaleva, O., & Seikkala, S. (1984). On fuzzy metric spaces. Fuzzy Sets and Systems, 12, 215-229, http://dx.doi.org/10.1016/0165-0114(84)90069-110.1016/0165-0114(84)90069-1
  11. Katsaras, A.K. (1984). Fuzzy topological vector spaces II, Fuzzy Sets and Systems, 12, 143-154, http://dx.doi.org/10.1016/0165-0114(84)90034-410.1016/0165-0114(84)90034-4
  12. Khalili-Damghani, K., Sadi-Nezhad, S., Hosseinzadeh Lotfi, F., & Tavana M. (2013). A hybrid fuzzy rule-based multicriteria framework for sustainable project portfolio selection, Information Sciences, 220, 442-462, http://dx.doi.org/10.1016/j.ins.2012.07.02410.1016/j.ins.2012.07.024
  13. Kramosil, I. and Michalek, J. (1975). Fuzzy metric and statistical metric spaces, Kybernetica, 11, 326-334.
  14. Li, J., & Xu, J. (2013). Multiobjective portfolio selection model with fuzzy random returns and a compromise approach-based genetic algorithm, Information Sciences, 220, 507-521, http://dx.doi.org/10.1016/j.ins.2012.07.00510.1016/j.ins.2012.07.005
  15. Liu, Y.-J., Zhang, W.-G., & Xu, W.-J. (2012). Fuzzy multiperiod portfolio selection optimization models using multiple criteria, Automatica, 48, 3042-3053, http://dx.doi.org/10.1016/j. automatica.2012.08.036
  16. Markowitz, H., (1952). Portfolio selection. Journal of Finance, 7, 77-91. Retrieved from http://www.jstor.org/stable/2975974
  17. Menger K. (1942). Statistical metrics, Proc. Nat. Acad. Sci. USA, 28, 535-7.10.1073/pnas.28.12.535
  18. Metaxiotis K., & Liagkouras K., (2012). Multiobjective Evolutionary Algorithms for Portfolio Management: A comprehensive literature review, Expert Systems with Applications, 39, 11685-11698, http://dx.doi.org/10.1016/j. eswa.2012.04.053
  19. Sadeqi I., & Solatikia F. (2010). The category of fuzzy normed linear spaces, J. Fuzzy Math., 18, 733-742.
  20. Sherstnev A.N. (1962), Random normed spaces: Problems of completeness (in Russian). Kazan. Gos. Univ. Ucen. Zap., 122, 3-20.
  21. Rebiasz, B. (2013). Selection of efficient portfolios-probabilistic and fuzzy approach, comparative study. Computers & Industrial Engineering, 64, 1019-1032, http://dx.doi.org/10.1016/j.cie.2013.01.01110.1016/j.cie.2013.01.011
  22. Tsaur, R.-C. (2013). Fuzzy portfolio model with different investor risk attitudes, European Journal of Operational Research, 277(2), 385-390, http://dx.doi.org/10.1016/j.ejor.2012.10.03610.1016/j.ejor.2012.10.036
  23. Weber G.-W., & Solatikia F. (2013). Generalization by Optimization in Menger Probabilistic Normed Spaces with Application on Portfolio in Insurance (Editorial). J. Appl. Computat. Math., 2(3), 1000e131, http://dx.doi.org/10.4172/2168-9679.1000e13110.4172/2168-9679.1000e131
  24. Wu C. X. & Ma M. (1991). Embedding Problem of Fuzzy Number Space: Part I, Fuzzy Sets and Systems, 44, 33-38.10.1016/0165-0114(91)90030-T
  25. Wu, H.-C. (2004). Evaluate Fuzzy Optimization Problems Based on Biobjective Programming Problems, Computers and Mathematics with Applications 47, 893-902, http://dx.doi.org/10.1016/S0898-1221(04)90073-910.1016/S0898-1221(04)90073-9
  26. Zadeh L.A. (1965). Fuzzy sets. Information and Control, 8, 338-353, http://dx.doi.org/10.1016/S0019-9958(65)90241-X 10.1016/S0019-9958(65)90241-X
DOI: https://doi.org/10.2478/orga-2014-0010 | Journal eISSN: 1581-1832 | Journal ISSN: 1318-5454
Language: English
Page range: 90 - 97
Submitted on: Jan 15, 2014
Accepted on: Mar 24, 2014
Published on: May 17, 2014
Published by: University of Maribor
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year

© 2014 Farnaz Solatikia, Erdem Kiliç, Gerhard Wilhelm Weber, published by University of Maribor
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.