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.
A Sandwich Theorem for Natural Extensions
PELESSONI, RENATO;VICIG, PAOLO
2017-01-01
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.File in questo prodotto:
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SMPS 2016 Estratto Pelessoni Vicig.pdf
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SMPS 2016 PV accepted manuscript.pdf
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