Integrating the Stochastic Multi-criteria Acceptability Analysis with the MULTIMOORA Method for Multiple Criteria Decision Making

The stochastic multi-criteria acceptability analysis (SMAA-2) is a useful approach for multiple criteria decision making with inaccurate or uncertain information. The MULTIMOORA (MULTIplicative Multi-Objective Optimization by Ratio Analysis) is a robust method to aggregate the utility values of alternatives in decision making. However, in some decision-making problems solved by the MULTIMOORA method, the stochastic information is available. To tackle such problems appropriately, this study investigates the SMAA-MULTIMOORA method by combining the SMAA-2 with MULTIMOORA. The proposed method enables the MULTIMOORA method to handle inaccurate, imprecise or uncertain information as input by stochastic variables. The procedure of how to use the SMAA-MULTIMOORA method is provided for the facility of applications. Finally, an illustrative example is given to verify the validity of the proposed method.