Qualitative multicriteria decision making based on the Sugeno integral

Abstract

In multicriteria decision making (MCDM), we aim at ranking multidimensional alternatives. A traditional approach utility-like approach is to define an appropriate aggregation operator, that aggregates partial preferences based on the decision maker's behavior. Non-additive measures (or fuzzy measures) have been shown to be well-suited tools for this purpose. However, this was done in an ad hoc way until recently. An axiomatization of multicriteria decision making was given in a quantitative setting, using the Choquet integral for aggregation operator. However, this choice of fuzzy integral is not always adequate from a measurement perspective. The aim of this paper is to give conditions for the existence of a Sugeno integral with respect to some fuzzy measure, representing the global preferences of a decision maker.