Abstract
For a probabilistic space (\(T, \mathcal{T}, \mu\)), a fixed measurable set A and a fixed positive measurable function f, the continuity with respect to the real parameter λ of the Choquet or Sugeno integral ∫ A dm(λ,μ) is proved. Here m(λ,μ) are all possible λ-Sugeno measures generated by μ. Asymptotical properties are studied too.
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References
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Acknowledgement
The author expresses his gratitude to professor Anatolij Prykarpatski for the most valuable suggestion to study the asymptotic behaviour.
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Chiţescu, I. (2015). Parametric Continuity of Choquet and Sugeno Integrals. In: Mityushev, V., Ruzhansky, M. (eds) Current Trends in Analysis and Its Applications. Trends in Mathematics(). Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-12577-0_40
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DOI: https://doi.org/10.1007/978-3-319-12577-0_40
Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-12576-3
Online ISBN: 978-3-319-12577-0
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