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Fuzzy portfolio model with fuzzy-input return rates and fuzzy-output proportions

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  • Ruey-Chyn Tsaur

Abstract

In the finance market, a short-term investment strategy is usually applied in portfolio selection in order to reduce investment risk; however, the economy is uncertain and the investment period is short. Further, an investor has incomplete information for selecting a portfolio with crisp proportions for each chosen security. In this paper we present a new method of constructing fuzzy portfolio model for the parameters of fuzzy-input return rates and fuzzy-output proportions, based on possibilistic mean–standard deviation models. Furthermore, we consider both excess or shortage of investment in different economic periods by using fuzzy constraint for the sum of the fuzzy proportions, and we also refer to risks of securities investment and vagueness of incomplete information during the period of depression economics for the portfolio selection. Finally, we present a numerical example of a portfolio selection problem to illustrate the proposed model and a sensitivity analysis is realised based on the results.

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  • Ruey-Chyn Tsaur, 2015. "Fuzzy portfolio model with fuzzy-input return rates and fuzzy-output proportions," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(3), pages 438-450, February.
    • Handle: RePEc:taf:tsysxx:v:46:y:2015:i:3:p:438-450
    DOI: 10.1080/00207721.2013.784820
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    Cited by:

    1. Marco Corazza & Carla Nardelli, 2019. "Possibilistic mean–variance portfolios versus probabilistic ones: the winner is..," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 42(1), pages 51-75, June.
    2. Ruey-Chyn Tsaur & Chien-Liang Chiu & Yin-Yin Huang, 2021. "Fuzzy Portfolio Selection in COVID-19 Spreading Period Using Fuzzy Goal Programming Model," Mathematics, MDPI, vol. 9(8), pages 1-15, April.
    3. Yin-Yin Huang & Ruey-Chyn Tsaur & Nei-Chin Huang, 2022. "Sustainable Fuzzy Portfolio Selection Concerning Multi-Objective Risk Attitudes in Group Decision," Mathematics, MDPI, vol. 10(18), pages 1-15, September.

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