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Portfolio selection based on fuzzy probabilities and possibility distributions
Fuzzy Sets and Systems
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Computers and Industrial Engineering
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Information Sciences: an International Journal
A risk index model for portfolio selection with returns subject to experts' estimations
Fuzzy Optimization and Decision Making
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This paper discusses portfolio selection problem in fuzzy environment. In the paper, semivariance is originally presented for fuzzy variable, and three properties of the semivariance are proven. Based on the concept of semivariance of fuzzy variable, two fuzzy mean-semivariance models are proposed. To solve the new models in general cases, a fuzzy simulation based genetic algorithm is presented in the paper. In addition, two numerical examples are also presented to illustrate the modelling idea and the effectiveness of the designed algorithm.