Logit choice models for interactive attributes

In multi attribute decision making (MADM), the choice of a decision-maker (DM) is often the result of an interplay between the DM's unique attitude, the utilities (specific to the DM) for the attributes, and the degree of positive (or negative) interaction among the attributes. Based on this conglomeration of information, we introduce a few choice models to give the probabilities for different possible choices of a DM. More specifically, the conventional multinomial logit (MNL) model is extended to consider the interaction among the attributes, and also the DM's unique attitudinal character. The usefulness of the proposed models is illustrated in a real world application.