Relationship between two types of superdecomposition integrals on finite spaces

0533381 - ÚTIA 2021 RIV NL eng J - Journal Article
Ouyang, Y. - Li, J. - Mesiar, Radko
Relationship between two types of superdecomposition integrals on finite spaces.
Fuzzy Sets and Systems. Roč. 396, č. 1 (2020), s. 1-16. ISSN 0165-0114. E-ISSN 1872-6801
Institutional support: RVO:67985556
Keywords : Sugeno Integral * Fuzzy Measure * Aggregation Function
OECD category: Applied mathematics
Impact factor: 3.343, year: 2020
Method of publishing: Limited access
http://library.utia.cas.cz/separaty/2020/E/mesiar-0533381.pdf https://www.sciencedirect.com/science/article/pii/S0165011419304245

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.
Permanent Link: http://hdl.handle.net/11104/0311786