AXIOMATIZATIONS AND FACTORIZATIONS OF SUGENO UTILITY FUNCTIONS

Abstract

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 pseudo-Sugeno 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(φ 1 (x 1 ),…,φ n (x n )) of a Sugeno integral q with local utility functions φ i , if such a factorization exists.