On the fusion of multiple multi-criteria aggregation functions with focus on the fusion of OWA aggregations

摘要

We discuss the concepts of a fuzzy measure and the Choquet integral with respect to a fuzzy measure. We introduce aggregation functions and discus their role in fusing fuzzy measures. We describe the formulation of multi-criteria decision-making using fuzzy measures and explain how the measure is used to capture the relationship between the criteria. We look at some examples of multi-criteria decision-making using a measure-based approach. Two notable examples are the OWA aggregation of the criteria and a propositional logic expression of the relationship between criteria. We next look at the fusion of multiple multi-criteria decision functions. The major objective of this paper is to focus on the problem of the fusion of multiple OWA aggregation functions. A significant benefit of the methodology developed here is that it is based solely on the use of fuzzy measures, this allows us to represent in a unified fashion many different aggregation imperatives.