Algorithms for solving decision-making problems under type-2 Pythagorean fuzzy sets environment

Abstract Pythagorean Fuzzy Sets (PyFS), which are used to describe uncertainty, have also been used by some researchers in attempts to solve decision making applications. This paper introduces PyFS in type-2 Fuzzy Environments as type-2 PyFS (T2PyFS). We define several arithmetic operations and algebraic properties related to it, and proposing its level sets, we investigate related properties. We also develop the Hamming and Euclidean distance of our T2PyFS, and design three decision making algorithms based on the level sets, max-min-max composition and distance measure. In the lines of academic performance, we apply the proposed decision making algorithms in professional course selection.