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Today, the pace of technology development, shrinkage of product life cycle and globalized markets have soared the significance of effective management of R&D projects as the engine of technology development. In this case, selecting an integrated portfolio of R&D projects tends to be one of the key process of R&D management which must be approached strategically. Although several criteria have been introduced for R&D portfolio selection, many studies simply conducted two-dimensional portfolio. For instance, some of them employed just financial criteria in terms of risk and value or, the other ones conducted technical criteria such as attractiveness and competitiveness. In this paper, we presented a mathematical zero-one model for proposing a three-dimensional R&D portfolio selection, taking in to account three major criteria of R&D project selection (such as risk, attractiveness, and competitiveness), moreover it tries to consider interdependencies among projects