Supplier selection is one of the most important activities for a company. It significantly reduces the costs and improves the competitiveness of a firm. Supplier selection is a multiple-criteria decision-making (MCDM) problem. To solve this problem, many methods have been introduced in the literature. In this paper, a conceptual framework is proposed in order to select the best supplier considering several criteria. The framework combines the weights obtained from analytical hierarchy process improved by fuzzy rough sets and those obtained from the classical AHP. Then, the VIKOR method is used for ranking the different suppliers.