We first propose a new method to calculate the distance between two trapezoidal IT2 FSs with the tool of α-cut and ordered weighted averaging (OWA) operator. In this paper, we propose an extension of the TOPSIS method with trapezoidal interval type-2 fuzzy sets (IT2 FSs) using the concept of α-cut. The Technique for Order Preference by Similarity to Ideal Solution (TOPSIS) is one of the most popular methods to address FMCDM problems. Fuzzy multi-criteria decision-making (FMCDM) provides solutions to the problems involving multiple criteria for decision-makers under uncertain environments.
