AXIOMATIZATIONS AND FACTORIZATIONS OF SUGENO UTILITY FUNCTIONS
2011 ◽
Vol 19
(04)
◽
pp. 635-658
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Keyword(s):
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.
2005 ◽
Vol 13
(05)
◽
pp. 495-509
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2021 ◽
Keyword(s):
2007 ◽
Vol 129
(5)
◽
pp. 584-596
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1996 ◽
Vol 95
(1)
◽
pp. 115-138
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2003 ◽
Vol 9
(4)
◽
pp. 903-958
◽
1977 ◽
Vol 34
(1)
◽
pp. 49-63
◽
2021 ◽
Vol 22
(2)
◽
pp. 1013