“…In this regard, the fuzzy set theory is very suitable and effective to handle the MCDA problems under vague, uncertain, and incomplete information environment. From this perspective, different versions of TOPSIS based on fuzzy sets have been developed for considering uncertainties and vagueness in MCDA problems, such as the fuzzy TOPSIS [14,15], the generalized fuzzy TOPSIS [1], the analytic network process weighted fuzzy TOPSIS [16], the intuitionistic fuzzy TOPSIS [7,9,17], the interval-valued intuitionistic fuzzy linguistic TOPSIS [18], the interval type-2 fuzzy TOPSIS [10,12], and so on. Although numerous papers with fuzzy sets have been proposed for developing extensions of TOPSIS and applied to different application areas, relatively little attention has been paid to the extended TOPSIS dealing with MCDA problems under complex uncertainty based on Pythagorean fuzzy (PF) sets.…”