Evaluation of public bus transport service quality based on circular Pythagorean fuzzy soft Einstein aggregation operators

Abstract In this article, we introduce the technique of circular Pythagorean fuzzy soft (CPFS) sets and their reliable properties, such as algebraic optional laws and Einstein operational laws. We further develop the CPFS Einstein weighted averaging (CPFSEWA) operator and the CPFS Einstein weighted geometric (CPFSEWG) operator, highlighting their fundamental properties. Additionally, we integrate the evaluation based on the distance from average solution (EDAS) method with the CPFSEWA and CPFSEWG operators, illustrated through relevant examples. The multi-attribute decision-making (MADM) method is applied using the proposed techniques, enhancing the evaluation process of public bus transport service quality. Specifically, the Dublin Bus 16 route is analyzed, focusing on criteria such as reliability, speed, approachability, directness, and time availability. Our methodology evaluates various alternatives, including the purchase of new buses, relocation of bus stops, changes in timetables, introduction of new bus lines, and improvement in driver training. Finally, we compare the proposed ranking values with those from existing techniques, demonstrating the flexibility and proficiency of the CPFS-based approach. This comprehensive evaluation aims to provide policymakers and operators with robust tools for improving public transport services.