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Relationship between two types of superdecomposition integrals on finite spaces
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SYSNO ASEP 0533381 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Relationship between two types of superdecomposition integrals on finite spaces Author(s) Ouyang, Y. (CN)
Li, J. (CN)
Mesiar, Radko (UTIA-B) RID, ORCIDNumber of authors 3 Source Title Fuzzy Sets and Systems. - : Elsevier - ISSN 0165-0114
Roč. 396, č. 1 (2020), s. 1-16Number of pages 16 s. Publication form Print - P Language eng - English Country NL - Netherlands Keywords Sugeno Integral ; Fuzzy Measure ; Aggregation Function Subject RIV BA - General Mathematics OECD category Applied mathematics Method of publishing Limited access Institutional support UTIA-B - RVO:67985556 UT WOS 000558640800001 EID SCOPUS 85072219787 DOI 10.1016/j.fss.2019.08.015 Annotation This paper investigates the relationship between two types of superdecomposition integrals, namely, the convex integral and the pan-integral from above, on finite spaces. To this end, we introduce two new concepts related to monotone measures - superadditivity with respect to singletons and minimal strictly subadditive set - and discuss some of their properties. In the case that the monotone measure μ is superadditive with respect to singletons, we show that these two types of integrals are equivalent. In other cases, by means of the characteristics of minimal strictly subadditive sets we provide a set of necessary and sufficient conditions for which these two types of integrals coincide with each other. Workplace Institute of Information Theory and Automation Contact Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201. Year of Publishing 2021 Electronic address https://www.sciencedirect.com/science/article/pii/S0165011419304245
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