A proposal for a set function that shows the feature of an alternative:

Properties of the set functions and the Sensibility Analysis

Abstract

Using relative individual scores among alternatives, in this paper, we propose a set function that shows the feature of an alternative. In a weighted sum model such as the Analytic Hierarchy Process (AHP), a set function value is constructed from the weights of the model. The set function value for the alternative is calculated by averaging the values of the set function representation of randomly generated weights when the alternative has the highest comprehensive score. By interpreting the functions, we can understand the feature of an alternative. We show the properties of the set functions and the sensibility analysis.