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On the equality of integrals
- 1.0477101 - ÚTIA 2018 RIV US eng J - Journal Article
Mesiar, Radko - Li, J. - Ouyang, Y.
On the equality of integrals.
Information Sciences. Roč. 393, č. 1 (2017), s. 82-90. ISSN 0020-0255. E-ISSN 1872-6291
Institutional support: RVO:67985556
Keywords : Choquet integral * Concave integral * Minimal atom * Monotone measure * Pan-integral
OECD category: Pure mathematics
Impact factor: 4.305, year: 2017
http://library.utia.cas.cz/separaty/2017/E/mesiar-0477101.pdf
Considering a finite space X, several necessary conditions and one rather general sufficient condition describing when the Choquet integral coincides with the pan-integral with respect to the standard arithmetic operations are shown. These conditions are characterized by using the minimal atoms of monotone measure. Under the introduced constraints, the calculation of these coinciding two integrals is also given.
Permanent Link: http://hdl.handle.net/11104/0274036
Number of the records: 1