Portfolio selection under independent possibilistic information. (English) Zbl 0982.91028

Summary: This paper deals with a portfolio selection problem with independently estimated possibilistic return rates. Under such a circumstance, a distributive investment has been regarded as a good solution in the traditional portfolio theory. However, the conventional possibilistic approach yields a concentrated investment solution. Considering the reason why a distributive investment is advocated, a new approach to the possibilistic portfolio selection is proposed.


91G10 Portfolio theory
90C05 Linear programming
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[1] Dubois, D.; Prade, H., Fuzzy sets and systemstheory and applications, (1980), Academic Press New York
[2] Inuiguchi, M., Stochastic programming problems versus fuzzy mathematical programming problems, Jpn. J. fuzzy theory systems, 4, 97-109, (1992) · Zbl 0807.90127
[3] Inuiguchi, M.; Ichihashi, H.; Kume, Y., Relationships between modality constrained programming problems and various fuzzy mathematical programming problems, Fuzzy sets and systems, 49, 243-259, (1992) · Zbl 0786.90090
[4] Inuiguchi, M.; Ichihashi, H.; Kume, Y., Modality constrained programming problems: A unified approach to fuzzy mathematical programming problems in the setting of possibility theory, Inform. sci., 67, 93-126, (1993) · Zbl 0770.90078
[5] Inuiguchi, M.; Sakawa, M., Minimax regret solution to linear programming problems with an interval objective function, Eur. J. oper. res., 86, 526-536, (1995) · Zbl 0914.90196
[6] Inuiguchi, M.; Sakawa, M., An achievement rate approach to linear programming problems with an interval objective function, J. oper. res. soc., 48, 25-33, (1997) · Zbl 0881.90095
[7] Markowitz, H., Portfolio selectionefficient diversification of investments, (1959), Wiley New York
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