A Mathematical Theory of Communication
A Mathematical Theory of Communication
Portfolio value-at-risk forecasting with GA-based extreme value theory
Expert Systems with Applications: An International Journal
Expected value of fuzzy variable and fuzzy expected value models
IEEE Transactions on Fuzzy Systems
Mean-Entropy Models for Fuzzy Portfolio Selection
IEEE Transactions on Fuzzy Systems
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In this paper, using Value-at-Risk, a new fuzzy portfolio selection model named VaR-FPSM is proposed. The Value-at-Risk is the measure of risk, which describes the greatest loss of an investment with some confidence level. When security returns are same kind of fuzzy variable, we derive two crisp equivalent forms of the VaR-FPSM. Furthermore, in general situations, we designed a fuzzy simulation based particle swarm optimization (PSO) algorithm to find an approximately optimal result. To illustrate the proposed model and hybrid PSO algorithm, a numerical example is provided and some discussions on the results are given.