A improved fuzzy TOPSIS based on centroid of fuzzy numbers

Fuzzy multicriteria decision making (fuzzy MCDM) problem has attracted the attention of many researchers in connection with its important interest in various fields. Fuzzy TOPSIS (Technique for order preference by similarity to ideal solution) is one of the most widely used fuzzy MCDM methods, which is constantly evolving due to changes in the process of weight determination, the aggregation process, and the standardization method. In this paper, we propose a improved fuzzy TOPSIS method to solve the fuzzy MCDM problem under the condition of group decision making. In this method, we determined the weights of the criteria according to the direct evaluation method by triangular fuzzy numbers and used a nonlinear normalization method. Also, we evaluate the alternatives in terms of weighted relative closeness coefficient as well as the distance from positive and negative ideal solutions is solved based on the centroid concept of fuzzy numbers. This method not only can overcome certain drawbacks inherent in existing fuzzy TOPSIS methods, but can also be widely applied in various fields. The proposed method is illustrated by a detailed numerical example.