A hybrid fuzzy multi-criteria group decision-making method and its application to healthcare waste treatment technology selection

This paper introduces a novel fuzzy multi-criteria decision-making method that combines the best-worst method (BWM) and multi-objective optimization based on ratio analysis with the full multiplicative form (MULTIMOORA) method in a fuzzy environment, which is called F-ABWM-MULTIMOORA method. The proposed method contains two parts. In the first part, the fuzzy additive BWM, an extension of the BWM based on the interval scale within the fuzzy environment, is used to calculate the initial criteria weights. To check the reliability of decision-makers’ (DMs’) judgments, a new consistency ratio is introduced to test the inputs provided by the DMs. Additionally, an inconsistency repairing algorithm is proposed to modify the DMs’ pairwise comparisons and to enhance the quality of the results. Then, in the second part, the fuzzy MULTIMOORA method consisting of three distinct ranking methods is employed to investigate the DMs’ objective evaluations. The proposed F-ABWM-MULTIMOORA method is applied to select a healthcare waste (HCW) treatment technology for a health center in Iran. The obtained results indicate the applicability and efficiency of the proposed method in selecting an HCW treatment technology.