A Comparison of Fuzzy Extensions of TOPSIS Method: Evaluating Creative Thinking Tool Alternatives

TOPSIS method is one of the most often used multi-criteria decision making methods. It is based on the distances of the alternatives from the negative and positive ideal solutions. TOPSIS method has been extended by several extensions of the ordinary fuzzy sets in the literature. However, these extensions of TOPSIS method have not been compared in detail for the solution of the same problem. This paper compares the fuzzy set extensions of TOPSIS method based on the same problem. The fuzzy set extensions of TOPSIS handled in this paper are based on interval-valued type-2 fuzzy sets, interval-valued picture fuzzy sets, interval-valued Pythagorean fuzzy sets, interval-valued intuitionistic fuzzy sets, and interval-valued spherical fuzzy sets. The considered application problem is the evaluation of creative thinking tool alternatives.