Categorization in multi-criteria decision making

We discuss the use of monotonic measures for the representation of criteria importance information in multi-criteria decision-making. We show that the Choquet integral provides an appropriate method for the aggregation of the individual criteria satisfactions in the case where the relationship between criteria importance's is expressed using a measure. We describe the use of categories and the related idea of a categorization in formulating the structural relationship between multiple criteria. We show how we can model this categorization using a measure on the space of criteria, which in turn allows us to use the Choquet integral to evaluate an alternative's satisfaction to this type of multi-criteria decision problem. We look at a special categorization of the criteria that is closely to a prioritization of the criteria.