Axiomatizations and factorizations of Sugeno utility functions
Rings and Algebras
2011-01-31 v1
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 of a Sugeno integral with local utility functions, if such a factorization exists.
Keywords
Cite
@article{arxiv.1101.4962,
title = {Axiomatizations and factorizations of Sugeno utility functions},
author = {Miguel Couceiro and Tamás Waldhauser},
journal= {arXiv preprint arXiv:1101.4962},
year = {2011}
}