0432225 - ÚTIA 2015 RIV US eng J - Journal Article
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
R&D Projects: GA ČR GAP402/11/0378
Institutional support: RVO:67985556
Keywords : universal integral * non-additive integral * fuzzy measure
Subject RIV: BA - General Mathematics
Impact factor: 4.038, year: 2014
Result website:
http://library.utia.cas.cz/separaty/2014/E/mesiar-0432225.pdf
DOI: https://doi.org/10.1016/j.ins.2013.12.056

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.

Permanent Link: http://hdl.handle.net/11104/0237117