Abstract: The essence of multi-attribute decision making is the use of existing decision-making information through a certain way and preferred options to sort.In order to solve the multi-attribute decision making problems that use property value for the interval numbers,in this paper,first of all,we put forward the definition of dominance relation for decision making objects.Then,we figure out the equivalence relations which exist between the value of advantage relationship for decision making object and the sum of two attribute values.Finally,we analyze the multi-attribute decision instances by using attribute values as the interval number.We use the probabilistic dominance relation to sort and select the decision-making objects.

Key words: multiple attribute decision making, dominance relation, advantage matrix, ranking of interval number