Original scientific paper Abstract: A novel integrated fuzzy–rough Multi-Criteria Decision-Making (MCDM) model based on integration fuzzy and interval rough set theories is presented. The model integrates the Fuzzy PIvot Pairwise RElative Criteria Importance Assessment-fuzzy PIPRECIA and Interval Rough Simple Additive Weighting (SAW) methods. An illustrative example of the model demonstration is proposed, representing the evaluation and supplier selection based on nine environmental criteria. The fuzzy PIPRECIA method is used to determine the significance of the following seven criteria: C1–the environmental image, C2–recycling, C3–pollution control, C4–the environmental management system, C5–environmentally friendly products, C6–resource consumption, and C7–green competencies. The interval rough SAW method is applied so as to evaluate four alternatives. The results show that the third criterion is most important, whereas the fourth alternative is the best solution.