In order to solve the problem of multiple attribute group decision with multi-granularity uncertain linguistic assessment information,where the information of attribute weights is incomplete, a group decision making method based on projection and dominance degree was proposed. Firstly, the uncertain linguistic evaluation matrices with multi-granularity were transformed to two-tuple decision matrices according to the continuous interval two-tuple ordered weighted harmonic (ITC-OWH) operator. By using projection method, a goal programming model was set up to determine the attribute weights vector of individual decision maker.Then, under every decision makers, integrative attribute dominance degree between pairwise comparisons of arbitrary alternatives was computed, and a group integrative dominance degree matrix was obtained based on integrative dominance degree matrices and expert weight vector.The rank results were determined by integrative dominance degree of alternatives.An example of submarine design scheme selection problem showed the effectiveness and feasibility of the proposed method.
