0533381 20240103224558.120201022235959.9 85072219787 000558640800001 10.1016/j.fss.2019.08.015 16 s. P cav_un_epca*02566420165-01143961 (2020)1-16Elsevier Sugeno Integral Fuzzy Measure Aggregation Function cav_un_auth*0258953 Ouyang Y. CN 30 cav_un_auth*0348640 Li J. CN cav_un_auth*0101163 Mesiar Radko UTIA-B Ekonometrie Department of Econometrics E E Department of Econometrics 30 Ústav teorie informace a automatizace AV ČR, v. v. i. 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. WOS BA 10000 10100 10102 2021 3 RVO:67985556 http://hdl.handle.net/11104/0311786 S 2 Article Computer Science Theory Methods|Mathematics Applied|Statistics Probability C COMPUTERSCIENCE.THEORY&METHODS|MATHEMATICS.APPLIED|STATISTICS&PROBABILITY 3.213 1.927 18.9 0.00736 0.706 17883 191 0.902 34.79 3.38 2053 Q1 2.960 218 Q1 48.968 85.8 Q3 Q2 1.86 Q1 93.396 2020 85072219787 SCOPUS PUBMED 000558640800001 WOS cav_un_epca*0256642 Fuzzy Sets and Systems 0165-0114 1872-6801 Roč. 396 č. 1 2020 1 16 Elsevier