Statistic test on fuzzy portfolio selection model

Markowitz's mean-variance model is based on probability distribution functions which have known or were assumed as some kinds of probability distribution functions. When our data are vague, we can't know the underlying distribution functions. The objective of our research was to develop a method of decision making to solve portfolio selection model by statistic test. We used central point and radius to determine the fuzzy portfolio selection model and statistic test. Empirical studies were presented to illustrate the risk of fuzzy portfolio selection model with interval values. We can conclude that it is more explicit to know the risk of portfolio selection model. According to statistic test, we can get a stable expected return and low risk investment in different choose K.