Axiomatizations and factorizations of sugeno utility functions
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 (o...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
2011
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| Sorozat: | INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS
19 No. 4 |
| doi: | 10.1142/S0218488511007167 |
| mtmt: | 1949529 |
| Online Access: | http://publicatio.bibl.u-szeged.hu/17334 |
| Tartalmi kivonat: | 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(phi(1)(x(1)), ... ,phi(n)(x(n))) of a Sugeno integral q with local utility functions phi(i), if such a factorization exists. |
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| Terjedelem/Fizikai jellemzők: | 635-658 |
| ISSN: | 0218-4885 |