Axiomatizations and Factorizations of Sugeno Utility Functions

In this paper we consider a multicriteria aggregation model where local utility functions of different sorts are aggregated using Sugeno integrals, and which we refer to as Sugeno utility functions. We propose a general approach to study such functions via the notion of pseudoSugeno integral (or, equivalently, pseudo-polynomial function), which naturally generalizes that of Sugeno integral, and provide several axiomatizations for this class of functions. Moreover, we address and solve the problem of factorizing a Sugeno utility function as a composition q(φ1(x1), . . . , φn(xn)) of a Sugeno integral q with local utility functions φi, if such a factorization exists.