PF-TOPSIS method based on CPFRS models: An application to unconventional emergency events

摘要

To improve the utilization of rough sets, some novel uncertain models via rough sets have been appeared. Although many rough set models can only handle some intuitionistic fuzzy data, they can't handle the data in the Pythagorean environment. For effectively solving the complicated problems in the Pythagorean environment, by applying the notion of Pythagorean fuzzy set (PFS) theory which is a natural generalization of intuitionistic fuzzy set (IFS) theory together with combining the covering-based rough set models and fuzzy rough set models, we introduce the concept of covering-based Pythagorean fuzzy rough set (CPFRS) models via Pythagorean fuzzy β-neighborhoods. Particularly, two kinds of uncertain degrees of our extended models are investigated. We find that our proposed models can effectively handle the complex data in the Pythagoras environment for the theoretical analysis with CPFRS models. We set forth two different Pythagorean fuzzy TOPSIS methodologies to deal with the multi-attribute decision-making (MADM) problem by taking the advantage of the CPFRS models. Finally, we compare and analyze the results of the two methods with two existing through a practical example.