Axiomatic foundations of the universal integral in terms of aggregation functions and preference relations

0422902 - ÚTIA 2015 eng A - Abstrakt
Greco, S. - Mesiar, Radko - Rindone, F.
Axiomatic foundations of the universal integral in terms of aggregation functions and preference relations.
Abstracts of the 34th Linz Seminar Non-classical measures and integrals. Vol. 34. Linz: Universitätsdirektion JKU Austria, 2013. s. 62-64.
[Linz Seminar on Fuzzy Set Theory /34./. 26.02.2013-02.03.2013, Linz]
Grant CEP: GA ČR GAP402/11/0378
Klíčová slova: universal integral * aggregation function * preference relation
Kód oboru RIV: BA - Obecná matematika
http://library.utia.cas.cz/separaty/2013/E/mesiar-0422902.pdf

The concept of universal integral has been recently proposed in order to generalize the Choquet, Shilkret and Sugeno integrals. We present two axiomatic foundations of the universal integral. The first axiomatization is expressed in terms of aggregation functions, while the second is expressed in terms of preference relations.
Trvalý link: http://hdl.handle.net/11104/0243053