From a kind of problems such as network design and transportation scheduling,a class of stochastic multiple-objectives optimization models have been formulated,in which there are one quaduatic and one linear objective functions and several linear constraints.We converted multiple-objectives optimization problems into a single-objective optimization problem based on the expectation level of Decision-Maker.The deterministic equivalent formulation was obtained by a new approach,called hybrid method of variance and expectation.Then,an interactive algorithm was developed,which reflected the preferences of Decision-Maker.Numerical experiments showed that the proposed new method is prior to the existing method both in reflecting the satisfaction degree of Decision-Maker and in obtaining a robust solution.