Pythagorean fuzzy based AHP-VIKOR integration to assess rail transportation systems in Turkey
Özet
Rail transit systems, one of the important public
transportation (PT) systems, are widespread in large cities
to satisfy passengers or commuters for their daily trips.
However, rail transportation (RT) investments are costly,
and the budgets are minimal. Thus assessing RT systems in
big cities play a crucial role in deciding on the best RT
investment. In this study, for the first time, a two-stage
fuzzy set is used among the multi-criteria decision-making
(MCDM) studies in the area of transportation. The proposed method is a unique technique integrating the Analytic Hierarchy Process (AHP) and Vise Kriterijumska
Optimizacija I Kompromisno Resenje (VIKOR) techniques
with an extension of Pythagorean fuzzy sets. In this manner, datasets from the observations of three rail lines in
Antalya, one of the largest cities in Turkey, are applied to
the proposed method. Fuzzy Analytic Hierarchy Process
(FAHP), a commonly used MCDM method, is used to
weighting four main criteria and thirteen sub-factors. AHP
is strengthened by interval-valued Pythagorean fuzzy
numbers (IVPFNs). The Fuzzy VIKOR (FVIKOR)
approach is then applied for the prioritization of three rail
line alternatives. Results are achieved by analyzing not
only real RT service observations, also actual RT expenditures or costs. Consequently, the uncertainty in results is
thus minimized. Outcomes of the case study reveal the most serviceable RT line in the city evaluating the main
criteria, namely economy, comfort, environment, and
safety. Therefore, the proposed approach methodologically
contributes to adopting a new insight into the integration of
MCDM methods with fuzzy set.