Research on fuzzy TOPSIS method based on Hausdorff metric

According to the TOPSIS method in the fuzzy multiple attribute decision-making problem, we propose a new TOPSIS method based on Hausdorff metric. Firstly, we find the ideal point and anti-ideal point by maximum fuzzy set and minimum fuzzy set. Secondly, the distance and the closeness coefficient values of different alternatives versus ideal point and anti-ideal point are obtained by using the Hausdorff metric. Finally, all of the alternatives are ranked by the closeness coefficient values based on Hausdorff metric. At the end of this paper, we present a multiple attribute decision-making problem with L-R trapezoidal fuzzy numbers to illustrate the procedure of the proposed method.