Ústav teorie informace a automatizace

Jste zde

Bibliografie

Journal Article

On the axiomatization of some classes of discrete universal integrals

Klement E.P., Mesiar Radko

: Knowledge-Based System vol.28, 1 (2012), p. 13-18

: CEZ:AV0Z10750506

: GAP402/11/0378, GA ČR

: Comonotone modularity, Copula, Universal integral

: 10.1016/j.knosys.2011.10.015

: http://library.utia.cas.cz/separaty/2012/E/mesiar-on the axiomatization of some classes of discrete universal integrals.pdf

(eng): Following the ideas of the axiomatic characterization of the Choquet integral due to [D. Schmeidler, Integral representation without additivity, Proc. Amer. Math. Soc. 97 (1986) 255–261] and of the Sugeno integral given in [J.-L. Marichal, An axiomatic approach of the discrete Sugeno integral as a tool to aggregate interacting criteria in a qualitative framework, IEEE Trans. Fuzzy Syst. 9 (2001) 164–172], we provide a general axiomatization of some classes of discrete universal integrals, including the case of discrete copula- based universal integrals (as usual, the product copula corresponds just to the Choquet integral, and the minimum to the Sugeno integral).

: BA

07.01.2019 - 08:39