Axiomatizations and factorizations of Sugeno Utility Functions
Waldhauser, Tamás; Couceiro, Miguel (2011), Axiomatizations and factorizations of Sugeno Utility Functions, International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 19, 4, p. 635-658. http://dx.doi.org/10.1142/S0218488511007167
TypeArticle accepté pour publication ou publié
External document linkhttp://arxiv.org/abs/1101.4962
Journal nameInternational Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
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Abstract (EN)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(φ1(x1),…,φn(xn)) of a Sugeno integral q with local utility functions φi, if such a factorization exists.
Subjects / KeywordsPseudo-Sugeno integral; pseudo-polynomial function; local utility function; overall utility function; Sugeno utility function; axiomatization
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