As resources have been reduced and competition has increased, making ecologically responsible decisions has become increasingly important. For that reason, businesses decide to utilize both green and traditional selection criteria to select suppliers. Green Supplier Selection (GSS) refers to choosing suppliers based on environmental performance, such as recycling practices and emissions reduction efforts. The importance of GSS is that it can help an organization to reduce its environmental impact, improve its reputation, meets regulatory requirements, and helps lower costs by reducing waste and energy consumption. This study aims to provide a novel GSS approach for food business packaging operations. First, a literature review was conducted, and the most used criteria were determined to create new criteria set. Then the proposed set was used with Pythagorean Fuzzy Technique for Order Preference by Similarity to Ideal Solution (PF-TOPSIS) method to select the best supplier. The application part of the study was carried out by a group of three experts who evaluated the five alternatives using linguistic expressions. Finally, a sensitivity analysis was made, and the results were compared with the classical TOPSIS method. According to the comparison results, the proposed approach was consistent and effective.