Blackwell sufficiency and fuzzy experiments
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TL;DR
It is shown that Blackwell sufficiency, only in special cases, is well suited for the comparison of fuzzy experiments.
Abstract
Blackwell sufficiency is an accepted instrument for the comparison of random experiments. In this paper it is shown that Blackwell sufficiency, only in special cases, is well suited for the comparison of fuzzy experiments. This is discussed for two types of fuzzy experiments: random experiments with vague outcomes where we ask for links between fuzziness and Blackwell sufficiency, and experiments which are evaluated by belief and plausibility where we find some connections between specificity and Blackwell sufficiency.