To deal with stochastic multi-criterion decision-making problems,a new PROME-THEE Ⅱ method is developed.Based on expected utility theory,the method combines stochastic dominance relation and current PROMETHEE Ⅱ method.With the help of two kinds of thresholds,the different preference levels of the decision-makers are considered.According to the value of preference function for each pair of alternatives with respect to criterions,the multi-criterion outranking degree for each pair of alternatives is obtained Finally, an example is giv...