CODAS is a new multicriteria decision making method based on the maximum distances to negative ideal solutions, which are obtained from Euclidean and Taxicab distances. This paper develops a Z-fuzzy CODAS method based on restriction and reliability functions under uncertainty. We obtain the criteria weights from the Z-fuzzy pairwise comparison matrix. An illustrative application to supplier selection problem is also given. A comparative analysis is presented with ordinary fuzzy simple additive weighting (SAW) method.