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The representations of two types of functionals on L (Ω, Ƒ) and L (Ω, Ƒ, ℙ)

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Abstract

This article gives the representations of two types of real functionals on L (Ω, Ƒ) or L (Ω, Ƒ, ℙ) in terms of Choquet integrals. These functionals are comonotonically subadditive and comonotonically convex, respectively.

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Correspondence to Song Yongsheng.

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Song, Y., Yan, J. The representations of two types of functionals on L (Ω, Ƒ) and L (Ω, Ƒ, ℙ). SCI CHINA SER A 49, 1376–1382 (2006). https://doi.org/10.1007/s11425-006-2010-8

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  • DOI: https://doi.org/10.1007/s11425-006-2010-8

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