Choquet-like integrals with respect to level-dependent capacities and φ-ordinal sums of aggregation function

0506945 - ÚTIA 2020 CZ eng J - Journal Article
Mesiar, Radko - Smrek, P.
Choquet-like integrals with respect to level-dependent capacities and φ-ordinal sums of aggregation function.
Kybernetika. Roč. 51, č. 3 (2015), s. 420-432. ISSN 0023-5954
Institutional support: RVO:67985556
Keywords : Choquet integral * Choquet-like integral * level-dependent capacity * φ -ordinal sum of aggregation functions
OECD category: Applied mathematics
Impact factor: 0.628, year: 2015
http://library.utia.cas.cz/separaty/2019/E/mesiar-0506945.pdf

In this study we merge the concepts of Choquet-like integrals and the Choquet integral with respect to level dependent capacities. For finite spaces and piece-wise constant level-dependent capacities our approach can be represented as a φ-ordinal sum of Choquet-like integrals acting on subdomains of the considered scale, and thus it can be regarded as extension method. The approach is illustrated by several examples.
Permanent Link: http://hdl.handle.net/11104/0298085