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Journal Article

Relationship between two types of superdecomposition integrals on finite spaces

Ouyang Y., Li J., Mesiar Radko

: Fuzzy Sets and Systems vol.396, 1 (2020), p. 1-16

: Sugeno Integral, Fuzzy Measure, Aggregation Function

: 10.1016/j.fss.2019.08.015

: http://library.utia.cas.cz/separaty/2020/E/mesiar-0533381.pdf

: https://www.sciencedirect.com/science/article/pii/S0165011419304245

(eng): 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.

: BA

: 10102

07.01.2019 - 08:39