Two new characterizations of universal integrals on the scale [ 0, 1 ]

0432225 - ÚTIA 2015 RIV US eng J - Článek v odborném periodiku
Greco, S. - Mesiar, Radko - Rindone, F.
Two new characterizations of universal integrals on the scale [ 0, 1 ].
Information Sciences. Roč. 267, č. 1 (2014), s. 217-224. ISSN 0020-0255. E-ISSN 1872-6291
Grant CEP: GA ČR GAP402/11/0378
Institucionální podpora: RVO:67985556
Klíčová slova: universal integral * non-additive integral * fuzzy measure
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 4.038, rok: 2014
http://library.utia.cas.cz/separaty/2014/E/mesiar-0432225.pdf

The concept of universal integral, recently proposed and axiomatized, encompasses several integrals, including the Choquet, Shilkret and Sugeno integrals. In this paper we present two new axiomatizations of universal integrals on the scale [0,1][0,1]. In the first characterization, we look at universal integrals on the scale [0,1][0,1] as families of aggregation functions FF satisfying some desired properties. The second characterization is given in the framing in which the original definition of universal integral was provided.
Trvalý link: http://hdl.handle.net/11104/0237117