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Choquet-like integrals with respect to level-dependent capacities and φ-ordinal sums of aggregation function
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SYSNO ASEP 0506945 Document Type J - Journal Article R&D Document Type The record was not marked in the RIV Subsidiary J Článek ve WOS Title Choquet-like integrals with respect to level-dependent capacities and φ-ordinal sums of aggregation function Author(s) Mesiar, Radko (UTIA-B) RID, ORCID
Smrek, P. (SK)Number of authors 2 Source Title Kybernetika. - : Ústav teorie informace a automatizace AV ČR, v. v. i. - ISSN 0023-5954
Roč. 51, č. 3 (2015), s. 420-432Number of pages 13 s. Publication form Print - P Language eng - English Country CZ - Czech Republic Keywords Choquet integral ; Choquet-like integral ; level-dependent capacity ; φ -ordinal sum of aggregation functions Subject RIV BA - General Mathematics OECD category Applied mathematics Institutional support UTIA-B - RVO:67985556 UT WOS 000361266300004 EID SCOPUS 84940037356 DOI 10.14736/kyb-2015-3-0420 Annotation 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. Workplace Institute of Information Theory and Automation Contact Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201. Year of Publishing 2020
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