Pythagorean fuzzy information-based MCGDM method for assessing the metaverse incorporated sharing economy applications in the transportation sector

The theory of Pythagorean fuzzy set (PFS) allows the sum of membership and non-membership degrees of an element to exceed one but the sum of their squares is less than or equal to one, therefore, it provides the wider range for decision experts to express the fuzzy information. The present work aims to develop a Pythagorean fuzzy information-based multi-criteria group decision-making (MCGDM) approach for assessing the multi-criteria metaverse incorporated sharing economy applications. The proposed MCGDM approach is divided into four stages. First, the concept of Pythagorean fuzzy Wasserstein distance measure is presented to avoid the limitations of existing Pythagorean fuzzy distance measures. Some examples are discussed to illustrate the effectiveness of proposed Pythagorean fuzzy Wasserstein distance measure in comparison with existing measures. Second, a total support degree-based procedure is presented to find the decision experts’ weights. Third, a symmetry point of criteria (SPC) approach is presented to determine the weights of criteria. Fourth, a hybrid Pythagorean fuzzy information-based ranking approach is presented to deal with the MCGDM problems, wherein the information about the criteria and decision experts are completely unknown. Further, the proposed ranking approach is executed on a case study of metaverse incorporated sharing economy alternatives assessment, which expresses its applicability and effectiveness. Comparison with existing Pythagorean fuzzy ranking approaches are discussed to validate the advantage of the developed approach.