I. Introduction
In recent years, with the needs of diversity, the technology complexity and the limited resources, companies could no longer rely on the implementation of a single R&D project to respond to the rapidly changing environment. The parallel implementation of R&D projects has become an inevitable trend to obtain the competitive edge. Project portfolio is a group of candidate projects which are selected by the decision makers, considering the strategies, profits, risks. There are multi-independences among projects, such as resource effect, outcome effect and technology effect. However, due to the restriction of the human resources, capital, equipment and other resource, it is difficult to achieve complete parallel development of the R&D projects. The decision-maker has to face the portfolio selection problem. Nevertheless, as the complexity and innovative of R&D project portfolio, there are many uncertainties in projects. Managers have to consider the uncertainty in portfolio selection, otherwise it will lead to mistakes in project portfolio management decision. Moreover, because of the independences among R&D projects, the risk can diffuse to other projects through this relationship, so that the failure of one project may trigger the changes of the possibility failure of other projects, or even a direct failure to a certain project. Consequently, project selection has to consider the uncertainty of R&D projects and the influence of interaction effect to the project risk.