This paper mainly discuss a new group evaluation method based on collaboration of subject and object with normal distribution information, compared with a conventional evaluation method which fails to take the joint part of evaluated objects into consideration and adjusts its single distribution of insufficient evaluated information. Firstly, the differential dominance to measure the merits of information provided by evaluators is presented. Secondly, the differential dominance is taken as a induced variable to cluster subjective evaluated information and determine the density weighted vector. Thirdly, two-dimensional induced density weighted average operator(TI-DWA) can be deduced to collect both subjective and objective evaluated information, contributing to a final assessed result. Finally, an example is used to verify the feasibility and effectiveness of the proposed method.