We investigate the notion of coherence for (non-)additive uncertainty measures from a logico-geometric point of view. Our main result is to the effect that distinct criteria for coherence are not always matched by axiomatically distinct measures of uncertainty. In addition we introduce a metalogic within which this kind of result can be captured formally.
A logico-geometric comparison of coherence for non-additive uncertainty measures / E.A. Corsi, T. Flaminio, H. Hosni. - In: ANNALS OF PURE AND APPLIED LOGIC. - ISSN 0168-0072. - (2023), pp. 103342.1-103342.29. [Epub ahead of print] [10.1016/j.apal.2023.103342]
A logico-geometric comparison of coherence for non-additive uncertainty measures
E.A. Corsi
Primo
;H. HosniUltimo
2023
Abstract
We investigate the notion of coherence for (non-)additive uncertainty measures from a logico-geometric point of view. Our main result is to the effect that distinct criteria for coherence are not always matched by axiomatically distinct measures of uncertainty. In addition we introduce a metalogic within which this kind of result can be captured formally.
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