Abstract
The recently introduced weak consistency notions of 2-coherence and 2-convexity are endowed with a concept of 2-coherent, respectively, 2-convex natural extension, whose properties parallel those of the natural extension for coherent lower previsions. We show that some of these extensions coincide in various common instances, thus producing the same inferences.
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References
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Acknowledgments
We acknowledge partial support by the FRA2015 grant ‘Mathematical Models for Handling Risk and Uncertainty’.
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Pelessoni, R., Vicig, P. (2017). A Sandwich Theorem for Natural Extensions. In: Ferraro, M., et al. Soft Methods for Data Science. SMPS 2016. Advances in Intelligent Systems and Computing, vol 456. Springer, Cham. https://doi.org/10.1007/978-3-319-42972-4_48
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DOI: https://doi.org/10.1007/978-3-319-42972-4_48
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