Extended Pythagorean Fuzzy TOPSIS Method Based on Similarity Measure for Sustainable Recycling Partner Selection

Recently, the organizations have concentrated on sustainability development and introduced several strategies for sustainability due to government policies, society concern, environmental impacts and needs of economy. Uncertainty commonly occurred in the sustainability development. Pythagorean fuzzy sets (PFSs), an extension of IFSs, have been demonstrated as an extremely valuable tool to tackle the uncertainty and ambiguity arisen in many practical situations. Thus, the proposed study focuses under Pythagorean fuzzy environment. In the present study, an approach is developed on the basis of Pythagorean fuzzy sets and Technique for Order Preference by means of Similarity to Ideal Solution method for the purpose of solving sustainable recycling partner selection problems with completely unknown decision experts and criteria weights. To calculate criteria weights, new similarity measure based on trigonometric function for PFSs is developed. Aiming at showing the way our approach can be effectively used to evaluate the realistic multi-criteria decision making problems, we carry out a case study of sustainable recycling partner selection problem. In addition, the results obtained from the proposed method are compared to those of some presently existing methods to validate the proposed method. The analytical results confirm the proficiency and reasonableness of the proposed method.