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Modeling Portfolio Optimization Problem by Probability-Credibility Equilibrium Risk Criterion
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-03-07
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
This paper studies the portfolio selection problem in hybrid uncertain decision systems.
Firstly the return rates are characterized by random fuzzy variables.
The objective is to maximize the total expected return rate.
For a random fuzzy variable, this paper defines a new equilibrium risk value (ERV) with credibility level beta and probability level alpha.
As a result, our portfolio problem is built as a new random fuzzy expected value (EV) model subject to ERV constraint, which is referred to as EV-ERV model.
Under mild assumptions, the proposed EV-ERV model is a convex programming problem.
Furthermore, when the possibility distributions are triangular, trapezoidal, and normal, the EV-ERV model can be transformed into its equivalent deterministic convex programming models, which can be solved by general purpose optimization software.
To demonstrate the effectiveness of the proposed equilibrium optimization method, some numerical experiments are conducted.
The computational results and comparison study demonstrate that the developed equilibrium optimization method is effective to model portfolio selection optimization problem with twofold uncertain return rates.
American Psychological Association (APA)
Wang, Ye& Chen, Yanju& Liu, Y. K.. 2016. Modeling Portfolio Optimization Problem by Probability-Credibility Equilibrium Risk Criterion. Mathematical Problems in Engineering،Vol. 2016, no. 2016, pp.1-13.
https://search.emarefa.net/detail/BIM-1112868
Modern Language Association (MLA)
Wang, Ye…[et al.]. Modeling Portfolio Optimization Problem by Probability-Credibility Equilibrium Risk Criterion. Mathematical Problems in Engineering No. 2016 (2016), pp.1-13.
https://search.emarefa.net/detail/BIM-1112868
American Medical Association (AMA)
Wang, Ye& Chen, Yanju& Liu, Y. K.. Modeling Portfolio Optimization Problem by Probability-Credibility Equilibrium Risk Criterion. Mathematical Problems in Engineering. 2016. Vol. 2016, no. 2016, pp.1-13.
https://search.emarefa.net/detail/BIM-1112868
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1112868