Set Function Representations of Alternatives' Relative Features

Abstract

In a weighted sum model such as the Analytic Hierarchy Process, a set function value is constructed from the weights of the model. In this paper, we use relative individual scores to propose a set function that shows the features of an alternative. The set function value for the alternative is calculated by averaging the values of the set function representation of the weights generated when the alternative has the highest comprehensive score. By interpreting the functions, we can understand the features of an alternative. We discuss the properties of the set functions, and extend to Choquet integral models. © Springer International Publishing Switzerland 2014.