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arXiv · 1101.4962

Axiomatizations and factorizations of Sugeno utility functions

Miguel Couceiro·Tamás Waldhauser
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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.

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Miguel Couceiro, Tamás Waldhauser. 2011-01-25. Axiomatizations and factorizations of Sugeno utility functions. https://arxiv.org/abs/1101.4962

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