Synthetic utility index method and venturous capital decision‐making Available to Purchase

A new risk investment decision‐making method, the synthetic utility index method, based on the whitenization weight function of grey numbers and the capital assets pricing model is proposed in this paper. The new method overcomes the shortcomings of the expectation‐variance method and Sharpe's index method and avoids the inconvenience of constructing utility function to a certain extent as well.