This paper aims at developing a supplier selection model in the construction field. The proposed model considers a non-homogeneous decision-making group in the supplier selection process. It applies the analytical hierarchy process (AHP) in determining the influence weightings of the non-homogeneous group. The importance weighting of criteria, which are used to evaluate potential suppliers, are determined by the non-homogeneous group. Potential suppliers are evaluated based on criteria by using a linguistic terms set. A linguistic ordered weighted averaging (LOWA) operator is applied to aggregate the linguistic term assessments of the non-homogeneous group. Finally, the scores of potential suppliers are calculated by applying a mathematical algorithm.