Approach to MADM with Interval Information Based on Max-Entropy

In this paper, an approach is proposed for the multiple attribute decision making problem with uncertain interval information based on maximum entropy theory. The attribute weights are determined by maximizing the entropy of the interval decision matrix. The overall interval values of alternatives across the attributes are then calculated, based on which the superiority possibility between the alternatives are obtained. The alternative ranking is also obtained associated with the superiority possibility relationship between pairs of alternatives. An example of selecting air-conditioning system suppliers is presented as an illustration.