Service quality is one of the most important factors that increase the use of public transportation, especially in metropolitan cities such as Istanbul. When evaluating service quality in public transportation systems, one of the most important factors is customer satisfaction. The increase in service quality increases the usage of public transport system utilization and it helps to solve many problems such as traffic congestion, air and noise pollution and energy consumption. For this purpose, the SERVQUAL model is extended with two new criteria related to Industry 4.0 and the pandemic to understand and evaluate the service quality of public transport systems. New criteria added into the SERVQUAL model and a novel P-SERVQUAL 4.0 (Pandemic SERVQUAL 4.0) model is presented. The novel service quality evaluation model is constructed as a three level hierarchical structure to evaluate public transport systems during the pandemic. Then, the evaluation model is modeled as a multi criteria decision making problem and a novel AHP (Analytic Hierarchy Process) integrated WASPAS (Weighted Aggregated Sum Product Assessment) under interval valued intuitionistic fuzzy (IVIF) environment methodology is employed. A real case application to evaluate Istanbul public transport systems is presented in this study. The proposed novel model is applied to evaluate the most used public transportation alternatives such as IETT Bus, Metrobus, Tram, Metro and Marmaray, in Istanbul. By the application of P-SERVQUAL 4.0 model; as a result of this study, Marmaray is determined as the best alternative. The proposed methodology can be used by public or private organizations to improve their strategies and operations to adapt Industry 4.0 and prevent the spread of SARS-CoV-2 (COVID-19). Also, the main limitations and the practical and managerial implications of the study are included in the conclusions.