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In this study, we propose a method to determine the weight of decision makers (DMs) in group multiple criteria decision making (GMCDM) problems with interval data .Here, we obtain an interval weight for each DM and the relative closeness of each decision from the negative ideal solution (NIS) and the positive ideal solution (PIS) is then computed. In the proposed method, after weighting the decision matrix of each DM, the alternatives are ranked using interval arithmetic. A comparative example together with a real world problem on air quality assessment is given to illustrate our method. Our findings show that the proposed approach is a suitable tool to solve GMCDM problems.